Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics Conference Series

An investigation for quantum qutrit entanglements through colour wheel compass

Volkan Duran, Azmi Gençten

Published Oct 1, 2016• 0 citations
Publisher

Abstract

In this study qutrits which have 3-level quantum systems will be used. The investigation of quantum qutrit states was done in a mathematical thought experiment in which most of the quantum phenomena (such as decoherence as well as charge and mass) are neglected. Hence, the model based on the investigation of qutrit states by using colour wheel was given in terms of set theory. Then the results of quantum qutrit entanglements in a hypothetical entangled universe will be analysed through the colour wheel compass.

DOI
10.1088/1742-6596/766/1/012013

Related papers

Quantum measurement and colour perception: theory and applications

Michel Berthier, Edoardo Provenzi

In this paper, we make a systematic use of the quantum measurement theory to describe perceived colours and analyse some of their fundamental properties. After motivating the naturalness of the quantum measurement approach in the mathematical framework of the colour perception theory proposed by the authors in previous papers, we show how to obtain several results. Among our theoretical outcomes, we mention the possibility to confine the colour cone to a finite-volume colour solid and the link between post-measurement state changes, Lorentz boosts and the Einstein–Poincaré relativistic addition law. We apply these results to obtain a chromatic match equation that emphasizes the importance of the Hilbert–Klein metric on the unit disk and we also present a quantitative description of Hunt’s effect.

Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences•Feb 1, 2022•14 citations

Analysis of Negativity and Relative Entropy of Entanglement Measures for Two Qutrit Quantum Communication Systems

Volkan Erol

Quantum Computers are provisioned as very high performance computers using quantum mechanical aspects for information processing. Quantum Information Theory and Quantum Computing topics are popular topics in academia aiming the construction of theoretical background of Quantum Computers. The information processing units for Quantum Computers are defined as qubits but for some problems three level (trinary) systems may be applied as well. We call these three level systems as qutrits. The scope of this work is the analysis of well-defined entanglement measures Negativity and Relative Entropy of Entanglement (REE) for two qutrit (3- level/trinary) quantum systems. In this manner, for randomly generated 1000 two qutrit and 1000 two qubit states the mentioned measures are calculated and these values are compared. These comparisons are analyzed and for quantum state ordering problem, some interesting results are reported.

•Mar 30, 2017•9 citations

Exploring 3-Qubit Quantum Entanglement: An Empirical Analysis with the Qiskit Framework

Manisha Prajapat, Kamal Kishor Choure, Gausia Qazi +2 more

The field of quantum computing is currently in its nascent stage and relies on the fundamental characteristics of quantum physics and the principles governing classical systems. This paves the way for the development of systems capable of solving intricate issues beyond classical systems’ capabilities. In this paper, 3-qubit entangled states are implemented using the Qiskit platform and analyzed by evaluating their probability graph and counts. The analysis of the entangled states in this paper may be helpful in implementing a quantum teleportation circuit in the near future.

IEEE India Council International Subsections Conference (INDISCON)•Aug 22, 2024•0 citations

From Quantum Collapse to Coherence: A New Framework for Wigner’s Friend and the Frauchiger-Renner Paradox

Hutan Ashrafian

Wigner’s Friend and the Frauchiger-Renner paradox explore fundamental tensions in quantum mechanics, particularly how measurement, observer perspectives, and entangled states yield contradictory or paradoxical conclusions when extended universally. Conventional treatments prioritize wavefunction collapse or large-scale entanglement, often neglecting the role of partial decoherence. Here, I develop a “Wigner’s Buddy” framework that refocuses these thought experiments on quantum coherence, treating measurement as a continuous, environment-driven process rather than an abrupt collapse. By systematically quantifying off-diagonal terms through measures such as the ℓ1-norm or relative entropy of coherence, and employing techniques that measure coherence such as tomography, interferometry, and ultrafast spectroscopy, I highlight how gradual phase damping reconciles local classicality with residual global coherence. This approach surpasses limitations of fragility in entanglement-based protocols, addresses nested-observer inconsistencies without invoking universal collapse, and accommodates real-world noise in biological systems such as photosynthesis, magnetoreception. Coherence thus bridges theoretical paradoxes and practical phenomena, demonstrating a scalable mechanism by which quantum effects can persist in macroscopic or dissipative environments.In doing so, it aligns Wigner’s Friend and Frauchiger-Renner analyses with a broader spectrum of interpretative frameworks—including Copenhagen, Many-Worlds, relational, Bayesian perspectives, and pilot-wave views—while underscoring the adaptability of quantum mechanics across multiple scales and contexts. Moreover, this perspective resonates with quantum Darwinism, which posits that the environment redundantly encodes pointer states, promoting effective classical objectivity from purely quantum substrates. By clarifying how partial decoherence can stabilize measurement outcomes, the “Wigner’s Buddy” proposal enhances our understanding of quantum theory’s capacity to describe itself without logical contradictions. It also has implications for quantum computing, where maintaining and controlling coherence amid noise is pivotal for scalable information processing. Furthermore, analyzing coherence measures can, in principle, distinguish gradual phase suppression from hypothetical non-unitary collapse if robust empirical tests are devised, though interpretation remains context-dependent. Ultimately, this modification unifies theoretical paradoxes with real-world systems, suggesting that coherence-based approaches can illuminate the transition from micro-level superpositions to macro-level classicality and guide future developments in both foundational studies and emergent quantum technologies.

•Mar 10, 2025•0 citations

Entanglement and the quantum-classical transition

SH Jacobsen

The ubiquitous theory of quantum mechanics has sparked many controversial debates about possible interpretations and its place in fundamental physical theory. Perhaps most sustained of all the questions is the quest for a complete explanation of the process behind the reduction from quantum to classical phenomena. This thesis shall examine this question through detailed investigation of specific models. The models include a careful exposition of quantum entanglement through the original EPR thought experiment for continuous variables and its mathematical transcription. The transcription is compared with existing methods from quantum optics for achieving experimentally verifiable Bell-type inequality violations, which are commonly interpreted as violations of locality. In further development of this famous paradox, the mathematical model is extended to tripartite continuous variable states, and detailed measures of their violation of locality are presented. Having carefully examined quantum phenomena by the EPR-paradox and its extension to tripartite cases, the investigation proceeds by considering the effect on quantum systems by an environment. This involves a re-examination of some well-known quantum system environment models: the spin-1/2 Spin-Boson and Kondo models, in which a two-level quantum system interacts with a bath of bosons or fermions respectively. The technicalities of the interactions are exposed in intricate detail, with a careful description of the constructive bosonisation and transformation methods involved. The thorough analysis leads to a new observation about the elliptic, or fully anisotropic, Kondo model. Importantly, the re-examination of the detailed structure of fermion-gas impurity models and their connection to quantum dissipative systems enables a comprehensive extension of the family of models to include in particular a new three-level dissipative system. To underline the importance of this model, it is shown that the model is exactly solvable by admitting a reparametrisation of the scattering matrix in terms of R-matrices which obey the Yang-Baxter equation. The examination of the interaction between the quantum and the classical concludes with an investigation of entanglement criteria in the system environment models discussed. A variational Ansatz for the ground state is used to demonstrate the numerical calculation of entropy expressions for the three-level systems, while the reynman-Hellmann Theorem is used to give inprinciple exact results for the entropy corresponding to the specific three-level model Hamiltonian introduced in this thesis. Throughout we provide several suggestions for further work, procedures for experimental verification and practical application.

•Nov 1, 2010•0 citations

Quantum Entanglement and Geometry

Gabriel, Andreas

The phenomenon of quantum entanglement is thoroughly investigated, focussing especially on geometrical aspects and on bipartite systems. After introducing the formalism and discussing general aspects, some of the most important separability criteria and entanglement measures are presented. Finally, the geometry of 2x2- and 3x3-dimensional state spaces is analysed and visualised.

arXiv:1003.3778•Mar 19, 2010•2 citations
In this study qutrits which have 3-level quantum systems will be used. The investigation of quantum qutrit states was done in a mathematical thought experiment in which most of the quantum phenomena (such as decoherence as well as charge and mass) are neglected. Hence, the model based on the investigation of qutrit states by using colour wheel was given in terms of set theory. Then the results of quantum qutrit entanglements in a hypothetical entangled universe will be analysed through the colour wheel compass.
In this paper, we make a systematic use of the quantum measurement theory to describe perceived colours and analyse some of their fundamental properties. After motivating the naturalness of the quantum measurement approach in the mathematical framework of the colour perception theory proposed by the authors in previous papers, we show how to obtain several results. Among our theoretical outcomes, we mention the possibility to confine the colour cone to a finite-volume colour solid and the link between post-measurement state changes, Lorentz boosts and the Einstein–Poincaré relativistic addition law. We apply these results to obtain a chromatic match equation that emphasizes the importance of the Hilbert–Klein metric on the unit disk and we also present a quantitative description of Hunt’s effect.
Quantum Computers are provisioned as very high performance computers using quantum mechanical aspects for information processing. Quantum Information Theory and Quantum Computing topics are popular topics in academia aiming the construction of theoretical background of Quantum Computers. The information processing units for Quantum Computers are defined as qubits but for some problems three level (trinary) systems may be applied as well. We call these three level systems as qutrits. The scope of this work is the analysis of well-defined entanglement measures Negativity and Relative Entropy of Entanglement (REE) for two qutrit (3- level/trinary) quantum systems. In this manner, for randomly generated 1000 two qutrit and 1000 two qubit states the mentioned measures are calculated and these values are compared. These comparisons are analyzed and for quantum state ordering problem, some interesting results are reported.
The field of quantum computing is currently in its nascent stage and relies on the fundamental characteristics of quantum physics and the principles governing classical systems. This paves the way for the development of systems capable of solving intricate issues beyond classical systems’ capabilities. In this paper, 3-qubit entangled states are implemented using the Qiskit platform and analyzed by evaluating their probability graph and counts. The analysis of the entangled states in this paper may be helpful in implementing a quantum teleportation circuit in the near future.
Wigner’s Friend and the Frauchiger-Renner paradox explore fundamental tensions in quantum mechanics, particularly how measurement, observer perspectives, and entangled states yield contradictory or paradoxical conclusions when extended universally. Conventional treatments prioritize wavefunction collapse or large-scale entanglement, often neglecting the role of partial decoherence. Here, I develop a “Wigner’s Buddy” framework that refocuses these thought experiments on quantum coherence, treating measurement as a continuous, environment-driven process rather than an abrupt collapse. By systematically quantifying off-diagonal terms through measures such as the ℓ1-norm or relative entropy of coherence, and employing techniques that measure coherence such as tomography, interferometry, and ultrafast spectroscopy, I highlight how gradual phase damping reconciles local classicality with residual global coherence. This approach surpasses limitations of fragility in entanglement-based protocols, addresses nested-observer inconsistencies without invoking universal collapse, and accommodates real-world noise in biological systems such as photosynthesis, magnetoreception. Coherence thus bridges theoretical paradoxes and practical phenomena, demonstrating a scalable mechanism by which quantum effects can persist in macroscopic or dissipative environments.In doing so, it aligns Wigner’s Friend and Frauchiger-Renner analyses with a broader spectrum of interpretative frameworks—including Copenhagen, Many-Worlds, relational, Bayesian perspectives, and pilot-wave views—while underscoring the adaptability of quantum mechanics across multiple scales and contexts. Moreover, this perspective resonates with quantum Darwinism, which posits that the environment redundantly encodes pointer states, promoting effective classical objectivity from purely quantum substrates. By clarifying how partial decoherence can stabilize measurement outcomes, the “Wigner’s Buddy” proposal enhances our understanding of quantum theory’s capacity to describe itself without logical contradictions. It also has implications for quantum computing, where maintaining and controlling coherence amid noise is pivotal for scalable information processing. Furthermore, analyzing coherence measures can, in principle, distinguish gradual phase suppression from hypothetical non-unitary collapse if robust empirical tests are devised, though interpretation remains context-dependent. Ultimately, this modification unifies theoretical paradoxes with real-world systems, suggesting that coherence-based approaches can illuminate the transition from micro-level superpositions to macro-level classicality and guide future developments in both foundational studies and emergent quantum technologies.
The ubiquitous theory of quantum mechanics has sparked many controversial debates about possible interpretations and its place in fundamental physical theory. Perhaps most sustained of all the questions is the quest for a complete explanation of the process behind the reduction from quantum to classical phenomena. This thesis shall examine this question through detailed investigation of specific models. The models include a careful exposition of quantum entanglement through the original EPR thought experiment for continuous variables and its mathematical transcription. The transcription is compared with existing methods from quantum optics for achieving experimentally verifiable Bell-type inequality violations, which are commonly interpreted as violations of locality. In further development of this famous paradox, the mathematical model is extended to tripartite continuous variable states, and detailed measures of their violation of locality are presented. Having carefully examined quantum phenomena by the EPR-paradox and its extension to tripartite cases, the investigation proceeds by considering the effect on quantum systems by an environment. This involves a re-examination of some well-known quantum system environment models: the spin-1/2 Spin-Boson and Kondo models, in which a two-level quantum system interacts with a bath of bosons or fermions respectively. The technicalities of the interactions are exposed in intricate detail, with a careful description of the constructive bosonisation and transformation methods involved. The thorough analysis leads to a new observation about the elliptic, or fully anisotropic, Kondo model. Importantly, the re-examination of the detailed structure of fermion-gas impurity models and their connection to quantum dissipative systems enables a comprehensive extension of the family of models to include in particular a new three-level dissipative system. To underline the importance of this model, it is shown that the model is exactly solvable by admitting a reparametrisation of the scattering matrix in terms of R-matrices which obey the Yang-Baxter equation. The examination of the interaction between the quantum and the classical concludes with an investigation of entanglement criteria in the system environment models discussed. A variational Ansatz for the ground state is used to demonstrate the numerical calculation of entropy expressions for the three-level systems, while the reynman-Hellmann Theorem is used to give inprinciple exact results for the entropy corresponding to the specific three-level model Hamiltonian introduced in this thesis. Throughout we provide several suggestions for further work, procedures for experimental verification and practical application.