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Frontiers in Quantum Science and Technology

Art makes quantum intuitive

Grégoire Cattan, Karolina Duś, Sławomir Kuśmia, Tomasz Stopa

Published May 17, 2024• 2 citations
Publisher

Abstract

Not so long ago, humans were a group of primates living on the savannah. We are reasonably proficient at estimating the trajectory of medium-sized objects, such as falling rocks and arrows, moving at moderate speeds. However, one must acknowledge that our intuition falters when it comes to understanding the behaviour of micro objects moving at very high speeds.Consider, for instance, the famous double-slit experiment. If you throw a ball towards two slits, the ball will pass through one slit, according to a common-sense prediction. However, when small particles, such as photons or electrons, are projected through two closely spaced apertures, the result is as if the particles simultaneously pass through the two apertures. In quantum physics, this unintuitive observation is explained by the wave-particle duality. It means that, physical entities can possess wavelike as well as particle-like characteristics. The duality is analogous to the two sides of a coin; the same reality can be described from different perspectives. Unfortunately, this knowledge does not cause that quantum mechanisms are entirely understandable and intuitional. Therefore, the following question remains open, how can we define quantum art when we are unable to fully grasp quantum mechanics? On a similar note, art itself is challenging to understand, albeit for different reasons. It is widely accepted that art is, to a significant extent, a subjective experience. An artist creates a piece of art that evokes diverse emotions and interpretations when presented to different people. Consequently, how can we bridge the gap between quantum mechanics, which is primarily comprehended through mathematics, and art, which is intuitively understood without the need for conscious reasoning? In other words, how can quantum art make the enigmatic world of quantum more intuitive and accessible?To address these questions, we created a challenge for the HackYeah! hackathon, one of the most prominent stationary events in Europe. We invited people to find an artistic way to illustrate the principles of quantum mechanics, including quantum superposition, entanglement, and decoherence. Approximately 700 individuals attended the event. Multiple challenges were submitted by different companies, and the Quantum Art challenge was chosen by 15 teams that ranged in size from two to seven people. After a short description of the challenge in Section 2, we explore some of these contributions in Section 3. Lastly, Section 4 concludes the paper. In our opinion, the artwork presented, especially the visual ones, helped to makes quantum principles more understandable, intuitive.The purpose of the challenge was to find an artistic way to illustrate quantum mechanics, specifically quantum superposition, entanglement, and decoherence.Quantum superposition refers to a phenomenon where a single particle can exist in two states simultaneously. In contrast to a 'normal' bit, which can be either 0 or 1, a quantum bit is a superposition of both 0 and 1.The measurement operation is the process through which a quantum state is collapsed to either the state 0 or 1. Let us consider two quantum bits; the possible measurement outcomes can be one of the following four combinations: 00, 01, 10, or 11. When only two of these combinations are possible, such as 00 and 11 or 10 and 01, one can state that the quantum bits are entangled because the state of one qubit affects the state of the second qubit and vice-versa.Decoherence of the quantum state is an effect that results from microscopic interactions between the quantum bits and the environment. This environmental noise impacts the state of the quantum bits and can lead to errors in computation. In other words, multiple measurements of the same quantum computation may yield different results. Different quantum computer architectures exhibit varying levels of noise.Here, the following question arises: How can people represent the principles of quantum mechanics in a way that it is tangible, visible, or even audible?In this section, we present a selected panel of examples that were implemented during the HackYeah! hackathon.This project effectively demonstrates the concept of quantum decoherence. It showcases a mosaic in which the arrangement of image elements is determined by the outcomes of quantum measurements (Figure 1). Various mosaics are generated following these measurements and are subsequently combined into an animated GIF. Notably, the greater the instability of the quantum computer, the more pronounced the glitches become within the mosaic. As a testament to its excellence, this project emerged as the winner of the challenge. The project is available on GitHub at https://github.com/lukilesny/quantmosaic.This code is based on the previous quantum art of Wiktor Mazin, 1 which exploits the Julia fractal set for image generation. Julia fractals are fractals based on a recursive suite of a complex number.The code performs a straightforward computation that involves the measurement of two qubits. The probabilities of these qubits being in either state 0 or 1 are employed to initialise the real and imaginary part of the complex numbers in the Julia set. The resulting Julia fractal is presented as an image, which is then further customised through user input. This customised image is subsequently passed to the text-to-image artificial intelligence model Stable Diffusion to create both personalised and quantum artwork. This project also illustrates the concept of quantum decoherence. The project is available on GitHub at https://github.com/Havystar/QUANTIUM.This work is also inspired by the contributions of Wiktor Mazin; however, it diverges by focusing on the creation of music rather than images. It resonates with the European project on Quantum Music2 (e.g., (1)), with the distinction being that instead of encoding notes into quantum states, it employs fractals to generate eight distinct musical notes.The project is available on GitHub at https://github.com/kmazrolina/Quanterpoint.This project is also an application of quantum music. It breaks down musical compositions into 4/4 tempo measures. Each measure is encoded using a set of four qubit quantum circuits, with each quantum bit symbolising a distinct musical element, encompassing notes, rhythm, and pauses. Diverse variations of a melody are generated, each of which is closely tied to a specific quantum architecture. It is akin to experiencing music through a quantum lens that unveils the distinctive quantum voice of each architecture.The project is available on GitHub at https://github.com/git-stashic/quantum-art.This project serves as an in-depth exploration of variational quantum circuits (VQCs) applied to the classification of the IRIS dataset. The classification results are then presented through Seaborn graphs (a library for scientific visualisation). This project is classified as scientific visualisation rather than art, but the effort merits our attention. A similar approach with VQCs can be observed in the pyRiemann-qiskit library (2), as showcased in the library documentation. 3 In this example, the learning parameters of the VQC are ingeniously illustrated as a spiral, with each branch signifying the variation in weight of a specific parameter.Additionally, the project delves into Bubble Art, drawing inspiration from the work of Radha Pyari Sandhir. 4 The core concept involves encoding a string into qubits and subsequently measuring the outcomes of computations performed on them. The resulting measurements are then transformed into bubbles. The size and number of bubbles convey information, with smaller, numerous bubbles indicating more noise, while larger bubbles represent measurements that yield the same results.The project is available on GitHub at https://github.com/dr3du4/Quantium.Autoencoders are a class of neural networks that are commonly employed to extract an efficient representation of specific data, akin to dimension reduction techniques. In this particular scenario, the team proposed the use of a variational autoencoder, with its parameters initialised with the measurement of a quantum circuit. The autoencoder's purpose is to learn a concise representation of a cat by using the Kaggle CAT dataset. Dimensionality reduction essentially serves as a means of compressing the data, resulting in a deliberately artistic blurring or fuzziness effect on the original image.The project is available on GitHub at https://github.com/polish-mountain/quantum-vae.Here, the concept revolves around the initialisation of a quantum circuit with brain wave frequencies, such as alpha and beta waves. Quantum operations are run on these states, and the outputs are measured in classical bits. Then, the resulting measurements are translated into values of saturation and luminance, ultimately contributing to the customisation of a piece of artwork.Essentially, it can be described as an electroencephalography (EEG) state personalised through quantum randomness. What makes this idea particularly intriguing is its potential for expansion. By introducing different qubits that represent the mental states of other users, brain synchronisation could be further represented by entangled states. When two users are competing or cooperating to solve a task, the synchronization between their mental states only allow for certain measurement probabilities, which is akin to a form of entanglement. This notion also resonates with the concept of the quantum brain hypothesis (3), according to which the brain coexists in multiple states simultaneously, which subsequently collapse. In this idea, EEG measurements become a measurement of these quantum brain states, and the task executed by the user while recording the electroencephalogram could be further represented by specific quantum operations. Just to be clear, we do not pretend that this is actually the case, but this project could lead to interesting metaphors between brain states and quantum representation.The project is available on GitHub at https://github.com/kinga-marszalkowska/QuantumBrainArt.Various artistic viewpoints were submitted as part of the Quantum Art challenge at the HackYeah! hackathon, including images, animations, and music. By far, quantum decoherence -that is, quantum noise -was the most exploited quantum concept. While quantum superposition was used internally, it was not -in our opinion -sufficiently highlighted by the presented artworks. As for quantum entanglement, it was explored under the concept of quantum music. Apparently, it is not always intuitive for people to understand quantum entanglement simply by hearing music. Saying that, you need a certain level of knowledge to build appreciation. For example, children need to learn different tastes to appreciate food. Among the aforementioned works, we noticed the use of quantum principles for creating artistic visualisations of mental states through EEG, as well as the use of art to enhance the visualisation of machine learning techniques. Here, we see art's potential to enhance the comprehensibility and natural intuition of quantum phenomena. This is an interesting approach to make quantum more accessible, intuitive, especially for neophytes.The question that lingers is whether visualisation truly qualifies as art. The answer is nuanced and may rely on the intent itself. A good visualisation can be a piece of art if the machine learning model was created with the sole purpose of producing art rather than for merely explaining a machine learning algorithm.Another perspective is that of Japanese contemporary artist Matsuzawa Yutaka (1922-2006), although we admit that we have not had the opportunity to read the original Japanese text. Our understanding is based on the writings of Alan Longino from the Department of Art at the University of Chicago (4):"Trough Quantum Art, Matsuzawa invited future readers, viewers, and participants to conceive of a world where objects, bodies, images, and matter become less defined, more permeable, and bound together in limitless intimacy".In essence, the artist's manifesto is a call for renewal, a break from artistic conventions, similar to the role of quantum physics in the physical sciences.

DOI
10.3389/frqst.2024.1397130

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The mind–matter relationship remained in the domain of philosophers for aeons. However, the inquisitiveness of the scientific minds has always been trying to understand the science behind its various functions. The scientific temper ushered in by the Renaissance about the 15th century saw the scientists exploring this problem from a science point of view. Technological advances during the later part of the 20th century enabled neuroscientists to explore and localise functions of the brain. However, the most difficult has been understanding the origin of a conscious experience scientifically or materialistically. Despite the delineation of many functions of the brain, the origin of conscious experience, the qualia, in the material brain remains elusive, so much so it came to be called the holy grail of neuroscience. 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For half a dozen years, the two of us have taught “The Quantum Moment,” a course on the impact of quantum mechanics on culture and thought. The impact on art is one key topic of this course, and we discuss several different ways in which art of the quantum moment is intertwined with mathematics. Much of this has to do with various mathematical consequences of the fundamental quantum equation E = hν, which by various paths is responsible for complementarity, randomness, uncertainty, and alternate worlds, among other features that have shown up in art. Sometimes the connection to mathematics involves reimaginations, sometimes transformations and reconstructions, sometimes metaphors, and sometimes mere evocations. On the one hand there are incredibly precise and reproducible patterns, of which the earliest may have been spectrum of a hydrogen atom treated as a non-relativistic system. On the other hand, there are the random results of particle observations, such as the locations of strikes of individual photons in a diffraction pattern, which nevertheless in the limit of large numbers of photons becomes extremely precise and regular. Thus quantum mechanics, as well as the art it inspires, has a richness that invites us to expect a substantial future for artistic expressions of The Quantum Moment.

Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture•Jan 1, 2012•1 citation
Not so long ago, humans were a group of primates living on the savannah. We are reasonably proficient at estimating the trajectory of medium-sized objects, such as falling rocks and arrows, moving at moderate speeds. However, one must acknowledge that our intuition falters when it comes to understanding the behaviour of micro objects moving at very high speeds.Consider, for instance, the famous double-slit experiment. If you throw a ball towards two slits, the ball will pass through one slit, according to a common-sense prediction. However, when small particles, such as photons or electrons, are projected through two closely spaced apertures, the result is as if the particles simultaneously pass through the two apertures. In quantum physics, this unintuitive observation is explained by the wave-particle duality. It means that, physical entities can possess wavelike as well as particle-like characteristics. The duality is analogous to the two sides of a coin; the same reality can be described from different perspectives. Unfortunately, this knowledge does not cause that quantum mechanisms are entirely understandable and intuitional. Therefore, the following question remains open, how can we define quantum art when we are unable to fully grasp quantum mechanics? On a similar note, art itself is challenging to understand, albeit for different reasons. It is widely accepted that art is, to a significant extent, a subjective experience. An artist creates a piece of art that evokes diverse emotions and interpretations when presented to different people. Consequently, how can we bridge the gap between quantum mechanics, which is primarily comprehended through mathematics, and art, which is intuitively understood without the need for conscious reasoning? In other words, how can quantum art make the enigmatic world of quantum more intuitive and accessible?To address these questions, we created a challenge for the HackYeah! hackathon, one of the most prominent stationary events in Europe. We invited people to find an artistic way to illustrate the principles of quantum mechanics, including quantum superposition, entanglement, and decoherence. Approximately 700 individuals attended the event. Multiple challenges were submitted by different companies, and the Quantum Art challenge was chosen by 15 teams that ranged in size from two to seven people. After a short description of the challenge in Section 2, we explore some of these contributions in Section 3. Lastly, Section 4 concludes the paper. In our opinion, the artwork presented, especially the visual ones, helped to makes quantum principles more understandable, intuitive.The purpose of the challenge was to find an artistic way to illustrate quantum mechanics, specifically quantum superposition, entanglement, and decoherence.Quantum superposition refers to a phenomenon where a single particle can exist in two states simultaneously. In contrast to a 'normal' bit, which can be either 0 or 1, a quantum bit is a superposition of both 0 and 1.The measurement operation is the process through which a quantum state is collapsed to either the state 0 or 1. Let us consider two quantum bits; the possible measurement outcomes can be one of the following four combinations: 00, 01, 10, or 11. When only two of these combinations are possible, such as 00 and 11 or 10 and 01, one can state that the quantum bits are entangled because the state of one qubit affects the state of the second qubit and vice-versa.Decoherence of the quantum state is an effect that results from microscopic interactions between the quantum bits and the environment. This environmental noise impacts the state of the quantum bits and can lead to errors in computation. In other words, multiple measurements of the same quantum computation may yield different results. Different quantum computer architectures exhibit varying levels of noise.Here, the following question arises: How can people represent the principles of quantum mechanics in a way that it is tangible, visible, or even audible?In this section, we present a selected panel of examples that were implemented during the HackYeah! hackathon.This project effectively demonstrates the concept of quantum decoherence. It showcases a mosaic in which the arrangement of image elements is determined by the outcomes of quantum measurements (Figure 1). Various mosaics are generated following these measurements and are subsequently combined into an animated GIF. Notably, the greater the instability of the quantum computer, the more pronounced the glitches become within the mosaic. As a testament to its excellence, this project emerged as the winner of the challenge. The project is available on GitHub at https://github.com/lukilesny/quantmosaic.This code is based on the previous quantum art of Wiktor Mazin, 1 which exploits the Julia fractal set for image generation. Julia fractals are fractals based on a recursive suite of a complex number.The code performs a straightforward computation that involves the measurement of two qubits. The probabilities of these qubits being in either state 0 or 1 are employed to initialise the real and imaginary part of the complex numbers in the Julia set. The resulting Julia fractal is presented as an image, which is then further customised through user input. This customised image is subsequently passed to the text-to-image artificial intelligence model Stable Diffusion to create both personalised and quantum artwork. This project also illustrates the concept of quantum decoherence. The project is available on GitHub at https://github.com/Havystar/QUANTIUM.This work is also inspired by the contributions of Wiktor Mazin; however, it diverges by focusing on the creation of music rather than images. It resonates with the European project on Quantum Music2 (e.g., (1)), with the distinction being that instead of encoding notes into quantum states, it employs fractals to generate eight distinct musical notes.The project is available on GitHub at https://github.com/kmazrolina/Quanterpoint.This project is also an application of quantum music. It breaks down musical compositions into 4/4 tempo measures. Each measure is encoded using a set of four qubit quantum circuits, with each quantum bit symbolising a distinct musical element, encompassing notes, rhythm, and pauses. Diverse variations of a melody are generated, each of which is closely tied to a specific quantum architecture. It is akin to experiencing music through a quantum lens that unveils the distinctive quantum voice of each architecture.The project is available on GitHub at https://github.com/git-stashic/quantum-art.This project serves as an in-depth exploration of variational quantum circuits (VQCs) applied to the classification of the IRIS dataset. The classification results are then presented through Seaborn graphs (a library for scientific visualisation). This project is classified as scientific visualisation rather than art, but the effort merits our attention. A similar approach with VQCs can be observed in the pyRiemann-qiskit library (2), as showcased in the library documentation. 3 In this example, the learning parameters of the VQC are ingeniously illustrated as a spiral, with each branch signifying the variation in weight of a specific parameter.Additionally, the project delves into Bubble Art, drawing inspiration from the work of Radha Pyari Sandhir. 4 The core concept involves encoding a string into qubits and subsequently measuring the outcomes of computations performed on them. The resulting measurements are then transformed into bubbles. The size and number of bubbles convey information, with smaller, numerous bubbles indicating more noise, while larger bubbles represent measurements that yield the same results.The project is available on GitHub at https://github.com/dr3du4/Quantium.Autoencoders are a class of neural networks that are commonly employed to extract an efficient representation of specific data, akin to dimension reduction techniques. In this particular scenario, the team proposed the use of a variational autoencoder, with its parameters initialised with the measurement of a quantum circuit. The autoencoder's purpose is to learn a concise representation of a cat by using the Kaggle CAT dataset. Dimensionality reduction essentially serves as a means of compressing the data, resulting in a deliberately artistic blurring or fuzziness effect on the original image.The project is available on GitHub at https://github.com/polish-mountain/quantum-vae.Here, the concept revolves around the initialisation of a quantum circuit with brain wave frequencies, such as alpha and beta waves. Quantum operations are run on these states, and the outputs are measured in classical bits. Then, the resulting measurements are translated into values of saturation and luminance, ultimately contributing to the customisation of a piece of artwork.Essentially, it can be described as an electroencephalography (EEG) state personalised through quantum randomness. What makes this idea particularly intriguing is its potential for expansion. By introducing different qubits that represent the mental states of other users, brain synchronisation could be further represented by entangled states. When two users are competing or cooperating to solve a task, the synchronization between their mental states only allow for certain measurement probabilities, which is akin to a form of entanglement. This notion also resonates with the concept of the quantum brain hypothesis (3), according to which the brain coexists in multiple states simultaneously, which subsequently collapse. In this idea, EEG measurements become a measurement of these quantum brain states, and the task executed by the user while recording the electroencephalogram could be further represented by specific quantum operations. Just to be clear, we do not pretend that this is actually the case, but this project could lead to interesting metaphors between brain states and quantum representation.The project is available on GitHub at https://github.com/kinga-marszalkowska/QuantumBrainArt.Various artistic viewpoints were submitted as part of the Quantum Art challenge at the HackYeah! hackathon, including images, animations, and music. By far, quantum decoherence -that is, quantum noise -was the most exploited quantum concept. While quantum superposition was used internally, it was not -in our opinion -sufficiently highlighted by the presented artworks. As for quantum entanglement, it was explored under the concept of quantum music. Apparently, it is not always intuitive for people to understand quantum entanglement simply by hearing music. Saying that, you need a certain level of knowledge to build appreciation. For example, children need to learn different tastes to appreciate food. Among the aforementioned works, we noticed the use of quantum principles for creating artistic visualisations of mental states through EEG, as well as the use of art to enhance the visualisation of machine learning techniques. Here, we see art's potential to enhance the comprehensibility and natural intuition of quantum phenomena. This is an interesting approach to make quantum more accessible, intuitive, especially for neophytes.The question that lingers is whether visualisation truly qualifies as art. The answer is nuanced and may rely on the intent itself. A good visualisation can be a piece of art if the machine learning model was created with the sole purpose of producing art rather than for merely explaining a machine learning algorithm.Another perspective is that of Japanese contemporary artist Matsuzawa Yutaka (1922-2006), although we admit that we have not had the opportunity to read the original Japanese text. Our understanding is based on the writings of Alan Longino from the Department of Art at the University of Chicago (4):"Trough Quantum Art, Matsuzawa invited future readers, viewers, and participants to conceive of a world where objects, bodies, images, and matter become less defined, more permeable, and bound together in limitless intimacy".In essence, the artist's manifesto is a call for renewal, a break from artistic conventions, similar to the role of quantum physics in the physical sciences.
Art is often a question of representation. And representation of life is at the heart of artistic creation. If one dives into very small size scales (beyond the famous Planck constant), we can work on the representation of life at the atomic scale. As everyone knows, at this scale, it is not the principles of classical physics that apply, but those of quantum mechanics. If one is interested in living in this type of dimension, he is faced with a population of protons, photons, electrons and other particles, which form a strange ecosystem, and whose quantum behavior is difficult to understand. The behavior of the elementary particles of our life defies our usual sense of space and time. Also, these particles form a living world in a higher number of dimensions. There are at least four dimensions, and probably more. [1]. As a digital and generative artist, it is quite exciting to be interested in this type of representation, and the use of a computer helps us in this way. Quantum Computers are not yet available, but many simulation tools exist and allow us to make quantum calculations that are no longer based on the classic use of bits, but are instead based on qubits.
Art has the remarkable capacity to reveal things previously unrecognisable until they emerge visually, allowing us to accept new images and expand our ability to interpret the world. Such images become additions to the mental archive we use to recognise and understand our surroundings. Imagining something entirely new is, perhaps, altogether impossible insofar as our understanding is rooted in mental models we compare with external images. When it comes to quantum theory, for instance, we struggle to find any existing schema in our reliquary of mental images to draw from—with attempts to visualise quantum phenomena frequently creating only greater confusion as we try to make sense of its novel qualities within more traditional frameworks. An artwork expressing something unfamiliar about the world can challenge viewers to expand their canvas of consciousness, welcoming new possibilities. By attentively examining a work of art, we can sidestep preconceptions that might otherwise cast the unknown as alien. Art invites us to ask, “What sensations does this image offer me? What gift is it extending?”
The article explores parallels between quantum evolution and developments taking place in the fine arts. Chance, uncertainty, probability, and intuition are all hallmarks of expression across the fields of both art and scientific practice. The role of the observer in art and science is explored through a comparative study between the act of fine art drawing and quantum measurement. What is meant by the role of the observer to the very act of seeing. The observer draws away a veil of inadequacy in looking for reality. The article reflects on the process of drawing’s comparative relationship the role of the observer in art and science. This role of the observer is analysed in relation to delayed choice quantum erasure, probability, indeterminacy, counterfactual definitiveness, entanglement, superposition, and the classical quantum divide, through the artist’s act of mark-making. There is a need for an attentive gaze when confronting so-called truths. Intentional repositioning and reframing of science practices through art can promote exploration of different ways of visualising, perceiving, understanding, communicating, and acting in the material world. In so doing the article describes a “quantum drawing” workshop created for art and science practitioners. The workshop is a new model for facilitating a transdisciplinary development of alternative domains and discourses that garner insights from the act of seeing and understanding. The workshop explores visual expression, material interaction and embodied practices speculating on quantum intuition, quantum computing and infinite speed. The article defines the quantisation of drawing as a tool for unpacking the role of the observer in art and science to embrace uncertainty.
The Quantum mechanics works but is not yet well understood. The difficulty in understanding lies not so much in the already very sophisticated mathematical formulations, but are much more rooted in the question of how the objects do that? Starting with the double-slit experiment, we will first provide the viewpoint of quantum mechanics. This leads us to the wave-particle duality. Photons have both wave and particle properties. Then we see the exact opposite: photons, electrons... are neither wave nor particle and address the question: Can we find truth from falsity? Can quantum mechanics be wrong in their conditions and yet lead to so excellent results? We then address the question of how good the mathematical prerequisites in classical physics is and how well they are fulfilled in quantum physics. Finally, we look at some very basic experiments from the point of view of the objects.
The mind–matter relationship remained in the domain of philosophers for aeons. However, the inquisitiveness of the scientific minds has always been trying to understand the science behind its various functions. The scientific temper ushered in by the Renaissance about the 15th century saw the scientists exploring this problem from a science point of view. Technological advances during the later part of the 20th century enabled neuroscientists to explore and localise functions of the brain. However, the most difficult has been understanding the origin of a conscious experience scientifically or materialistically. Despite the delineation of many functions of the brain, the origin of conscious experience, the qualia, in the material brain remains elusive, so much so it came to be called the holy grail of neuroscience. Heisenberg wrote: ‘Physics entered the domain of philosophy with the emergence of consciousness in quantum observation, which incidentally opened the door for reconciliation of science and philosophy’,[1] an event which enabled the predictions of Snow of the merging of arts and sciences.[2,3] Quantum mechanics is a branch of physics relating to very small particles – subatomic particles – electrons, photons, and everything in the submolecular realm, being the smallest units in matter. Quantum theory is the most fundamental theory of matter available at present. Some basic concepts of quantum physics need to be understood. These include “superposition”, where in subatomic particles exist either as waves or particles in a dual nature, never simultaneously. They exist as waves in more than one place at a time and once an observer observes or interferes with (such as measuring) their superposition state collapses to particle state. Quantum entanglement is the phenomenon that occurs when a group of particles which are generated, interact with or share special proximity such that they remain connected even when separated by vast distances. Consciousness is a manifestation of quantum process. Q mind or Q consciousness comprises a group of hypotheses proposing that quantum mechanical phenomena such as entanglement and superposition may play an important part in the functions of the brain and could thus explain the origin of consciousness. Several theories of quantum consciousness have been proposed. Wigner proposed the idea that quantum mechanics has something to do with the workings of the mind and proposed that the wave function collapse in the interaction with conscious observation creates consciousness.[4] Vitiello and Freeman[5] proposed quantum field theory (QFT) of brain states. This theory deals with systems and provides formal elements from which a standard description of brain activity can be inferred. According to QFT, particles are only excited states or simply manifestations of a field. Every particle has its own field that covers all of the universe, which means that, according to QFT, all of the electrons of the universe belong to the same field and could be regarded as one. Bohm formulated the QFT as a deeper theory of quantum theory plus relativity.[6] He viewed mind and matter as projections into our explicate order underlying the implicate order. Quantum brain dynamics (QBD) hypothesis explains the function of the brain within the framework of QFT.[7] It is not yet known exactly how quantum superpositions and their collapse result in the genesis of the raw feels of consciousness, the qualia. Feynman stated ‘if you think you understand quantum mechanics then you do not!’[8] Pribram proposed the holonomic brain theory (quantum holography). He invoked quantum mechanics to explain the higher-order processing by the mind. Pribram provided evidence on how much of the processes in the brain take place in a distributed fashion.[9,10] The composite model of Pribram-Bohm of holoflux hypothesis addresses observed phenomenon of non-locality both spacially and temporally. Bose and Einstein, who first predicted Bose Einstein condensate proposed that water at dendritic membrane surfaces might operate by structuring condensation,[11] supporting QBD. Penrose and Hamoreff proposed the orchestrated-objective reduction (ORCH-OR) in 1989 through 2013. According to them, the microtubules in the neurons (neurotubules), the tubulin protein polymer at the site of quantum collapse, leads to conscious experience. The quantum superposed states which develop in the tubulins remain coherent and recruit more superposed tubulins until a mass-time-energy threshold is reached. At this point, self-collapse or objective reduction occurs, which is equated to a discrete conscious event. Cascades of ORCH-OR events give rise to the stream of consciousness.[12,13] Penrose suggested that objective reduction represents neither randomness nor algorithmic processing but instead a non-computable influence in spacetime geometry from which mathematical understanding and, by later extension, consciousness derives.[14] Quantum vibrations in the microtubules proposed by Bandyopadhyay[15] have been shown to be source of conscious experience by corroborating the Penrose-Hemeroff’s ORCH-OR hypothesis.[13,16] In April 2022, the results of two related experiments at the University of Alberta and Princeton University, announced at The Science of Consciousness conference, provided further evidence to support quantum processes operating within microtubules. However, in another experiment, Gregory D. Scholes and Aarat Kalra of Princeton University used lasers to excite molecules within tubulins, causing a prolonged excitation to diffuse through microtubules further than expected, which did not occur when repeated under anaesthesia.[17,18] Beck and Eccles considered quantum mechanics at the synaptic level. If Orchestrated objective reduction (ORCH-OR) theory is applicable, a similar phenomenon in the microtubules at the presynaptic level, the axon terminal could be invoked for the genesis of consciousness.[19] A recent study by scientists at Trinity College, Dublin, in October 2022,[20] suggests that quantum processes underlie the cognitive and conscious brain functions. The brain–mind operational architectonics is the boundary between and integration point of quantum physics and eastern metaphysics and that it may inspire building a richer and more inclusive paradigm of the brain–mind relation, where quantum physics and eastern metaphysics are inherently intertwined. A body of empirical evidence[21-24] supports these possibilities, strengthening the proposal that the mind–brain relationship may be partially quantum. Quantum information theory clarifies the distinction between the unobservable mind and the observable brain and supports a solid physical foundation for consciousness research. With all these theories trying to explain and understand the theoretical/hypothetical framework for consciousness to explain the subjective experience of consciousness, the experts of this field feel it is still a long way to bridge the gap between current neurobiological and physical–mathematical concepts with their associated quantum–mind theories. Though there is still a long way to go for explaining conscious experience scientifically, when ever this happens, it will become one of the benchmarks in science. Financial support and sponsorship Nil. Conflicts of interest There are no conflicts of interest. Use of artificial intelligence (AI)-assisted technology for manuscript preparation The authors confirm that there was no use of artificial intelligence (AI)-assisted technology for assisting in the preparation of the manuscript and no images were manipulated using AI.
For half a dozen years, the two of us have taught “The Quantum Moment,” a course on the impact of quantum mechanics on culture and thought. The impact on art is one key topic of this course, and we discuss several different ways in which art of the quantum moment is intertwined with mathematics. Much of this has to do with various mathematical consequences of the fundamental quantum equation E = hν, which by various paths is responsible for complementarity, randomness, uncertainty, and alternate worlds, among other features that have shown up in art. Sometimes the connection to mathematics involves reimaginations, sometimes transformations and reconstructions, sometimes metaphors, and sometimes mere evocations. On the one hand there are incredibly precise and reproducible patterns, of which the earliest may have been spectrum of a hydrogen atom treated as a non-relativistic system. On the other hand, there are the random results of particle observations, such as the locations of strikes of individual photons in a diffraction pattern, which nevertheless in the limit of large numbers of photons becomes extremely precise and regular. Thus quantum mechanics, as well as the art it inspires, has a richness that invites us to expect a substantial future for artistic expressions of The Quantum Moment.