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Interpretting Information Based on Quantum Theory of Physics (Quantum Theory of Information)

Mitra Pashootanizadeh, Mortaza Kokabi

Published Mar 5, 2023• 0 citations
Publisher

Abstract

There are different theories on information as Shannon's Information or Communication Theory, Semantic Theory of Information, Cybernetics Theory, Quantum Theory of Information and Quantum Information Theory, each one viewing information from a different point. In this paper researchers used the foundamental concepts of quantum physics such as Wave/Particle duality, Complementarity, Uncertainty principle, Schrödinger's cat & so on to explain the nature of information and its role in information environments & flows. These concepts were introduced sequentially and Quantum Theory of Information was interpreted eventually.

DOI
10.35050/jipm010.2014.023

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Questioning of Quantum Information

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Introduction The quantum information theory began to rise in the end of 20th century. The EPR (relation)really is quantum entanglement, Consequently, it makes the concept of information in science expand from classical information theory to quantum information theory, and a new concept of quantum information formed. The primary concept of information faced to new challenges and produced some important philosophical questions. For example, can we set up the concept of quantum information? What is the nature of quantum information? The past common concept of information (the information is the elimination of uncertainty) could be used in quantum information? Whether does the emergence of quantum computation mean to eliminate no-boundaries between the quantum and the classical? My aim in this paper is to discuss these questions. My philosophical analysis focuses, however, on the basic quantum information theory. Methods The research method is analytical philosophy and logic that make quantum conception more clear and accurate. Results and Discussion The concept of information could be set up. fundamentally speaking, it did be supported by the Shannon information theory and further philosophical reflections. According of information theory, (classical) information concept could be set up, and there are two necessary preconditions: (a) the premise is a set of possible events, and they can be described by the probability. (b) the information is the elimination of uncertainty. Fundamentally, quantum information is also satisfied with the family-resemblance two preconditions: (1) Quantum information describes the possibility of microscopic things, and quantum information is the expression of wave function. The wave function describes the state of microscopic particles, and presentation of the possibility of microscopic objects. (2) On the aspect of eliminating the uncertainty, the quantum communication is same as classical communication. The signal receiver once received quantum signals transmitted, and the receiver eliminates the corresponding uncertainty of quantum. Therefore, the quantum information is the elimination of quantum uncertainty, and which is called quantum information I. From two point of views, the possible events and eliminate uncertainty, the quantum information and classical information have family resemblance. Quantum information like Classical information way of transmission, it is delivered by the information source, and is received by recipient through the information channel. Quantum Information is similar to classical information, but more essential difference between them, specifically in the following three aspects: (1) The probability directly describe the possibility of classic events, while wave function (or probability amplitude) describes quantum events in the quantum world, and the absolute square of wave function is corresponded to classical probability. (2)There have the essential difference between qubits (quantum qits) and classical bits. (3) Classical information can be completely cloned or deleted. nevertheless, quantum information is neither cloned (no-cloning), nor removed completely. To my point of view, through the analysis of the process of quantum teleportation, a quantum uncertainty can be divided into three categories: the first is the external uncertainties of microscopic particles; the second the uncertainty of the superposition state; the third the inherent uncertainty of microscopic particles. These three uncertainties can be eliminated by three different ways that are transmission of quantum information, accurate quantum transformations and the creations of quantum entanglement. Therefore we can give the general definition of certainty: a situation (the state of events, things) is of certainty, if they are satisfied with the following conditions: (a) a situation is entirely determined by n events parameters; (b) n parameters of events has an accurate values simultaneously. The existences of quantum states form quantum facts. Quantum states show themselves, and therefore it releases the information to the outside world. For this reason, there have two aspects of quantum state which need to express: existence of quantum state is the quantum fact, here we emphasize "existence"; and quantum state can show to the external world, which is the quantum information, here we emphasize "Show". Hence, quantum information is the show(Zeigt) of quantum state, which is called quantum information II. The nature of quantum information is the show of quantum events and their correlated ways. Quantum information is a kind of certainty and order. Quantum information can be divided into quantum informationⅠand quantum informationⅡ.. Quantum InformationⅠjust only a phenomenonal definition, it does not go deeply into the nature of the information. Therefore, the elimination of uncertainty can not be seen as the nature of quantum information itself . In the process of quantum teleportation, the source of quantum information (such as quantum state , a and b are coefficients) is delivered to the receiver, what is the essence of quantum information? From the point of view of quantum information theory, quantum state represents quantum information, quantum state is the state of quantum system (or microscopic particles) or quantum events. in the quantum state , what quantum states disclose the quantum information does not be the absolute size of quantum information, but the relationship, since the coefficients a and b satisfy the condition , and it do not be important numerical a and b, but between their relative size and relationship, which reflects the correlated ways between a and b. The connotation of quantum InformationⅠand quantum information Ⅱ offers support for the common view of classical information concept. Which is more deeply to disclose the nature of quantum information for both of them? Obviously, quantum information Ⅱ reflects the nature of quantum information. Quantum reality and quantum information are unified. What the wave function expresses is quantum reality. The wave function is unified of quantum information and quantum reality. There is no quantum reality, there is no quantum information. Because of the information and reality are unified, and quantum information different from classical information, so we can deduce that quantum reality is different from classical reality, and quantum computing differs from classical computing. In the classical parallel computing, the value calculated in different circuits respectively, but in parallel quantum computing the value calculated in one circuit, which is the essential difference between classical and quantum parallel computing. Many worlds interpretation of quantum mechanics does not mean that the difference between quantum and classical disappears: (1) Superposition in the microscopic world is very different from classical macroscopic physical world, so it is impossible that the superposition principle is fit for quantum world used for the classical world; (2) "To perform a quantum measurement, quantum world can be split up numerous classical world" is not supported by any experience and evidence; (3) Each branches of quantum computing are in quantum states, and quantum states are coherent, holistic, and some even entangled. Nevertheless, it is impossible for classical computing to achieve the quantum computing’s specific features; (4) The essential differences between quantum and the classical are decided by the development history of quantum mechanics and quantum information theory. The differences between quantum and the classical is really established by the quantum theory, concepts and their experiments that include Heisenberg’s matrix mechanics of Schrodinger’s wave equation, uncertainty principle of quantum mechanics and quantum entanglement phenomena and so on. They are completely different from the classical physical theories, concepts and experiments. Figure 1. Quantum information processing (see PDF version for the Figure). Conclusions This fruitful work gives an discussion of quantum concept that is the quantum information is the elimination of quantum uncertainty, which is called quantum information I and quantum information is the show (Zeigt) of quantum state, which is called quantum information II. Quantum information II reflects the nature of quantum information. The nature of quantum information is the show of quantum events and their correlated ways. Acknowledgments This research work of this paper is supported by 2011 the Philosophy and Social Sciences Foundation of the Ministry of Education of P. R. China (Project Number: 11JZD007) " Studies of the development trend of contemporary technological philosophy" . References and Notes Weiner, N., Cybernetics and Society. Houghton Mifflin Company, 1950. Shannon, C. E., The Mathematical Theory of Communication. The Bell System Technical Journal. 1948, Vol.27, pp.379-423, 623-656. Kornwachs K., Jacoby K., Introduction: What’s new about information? In Kornwachs K., Jacoby K.eds. Information. Berlin: Akademic Verlag GmbH. 1996. Bouwmeester, D. Pan, J.-W.，et al. Experimental Quantum Teleportation. Nature. 1997. 390. Bennett C. H. and Di Vinecenzo D. P. quantum information and computation, Nature, 2000, 404. Einstein, A. Podolsky B., and Rosen, N. Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Physical Review. 1935,47. Nielsen, M. A. Chuang, I. 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There are different theories on information as Shannon's Information or Communication Theory, Semantic Theory of Information, Cybernetics Theory, Quantum Theory of Information and Quantum Information Theory, each one viewing information from a different point. In this paper researchers used the foundamental concepts of quantum physics such as Wave/Particle duality, Complementarity, Uncertainty principle, Schrödinger's cat & so on to explain the nature of information and its role in information environments & flows. These concepts were introduced sequentially and Quantum Theory of Information was interpreted eventually.
Introduction The quantum information theory began to rise in the end of 20th century. The EPR (relation)really is quantum entanglement, Consequently, it makes the concept of information in science expand from classical information theory to quantum information theory, and a new concept of quantum information formed. The primary concept of information faced to new challenges and produced some important philosophical questions. For example, can we set up the concept of quantum information? What is the nature of quantum information? The past common concept of information (the information is the elimination of uncertainty) could be used in quantum information? Whether does the emergence of quantum computation mean to eliminate no-boundaries between the quantum and the classical? My aim in this paper is to discuss these questions. My philosophical analysis focuses, however, on the basic quantum information theory. Methods The research method is analytical philosophy and logic that make quantum conception more clear and accurate. Results and Discussion The concept of information could be set up. fundamentally speaking, it did be supported by the Shannon information theory and further philosophical reflections. According of information theory, (classical) information concept could be set up, and there are two necessary preconditions: (a) the premise is a set of possible events, and they can be described by the probability. (b) the information is the elimination of uncertainty. Fundamentally, quantum information is also satisfied with the family-resemblance two preconditions: (1) Quantum information describes the possibility of microscopic things, and quantum information is the expression of wave function. The wave function describes the state of microscopic particles, and presentation of the possibility of microscopic objects. (2) On the aspect of eliminating the uncertainty, the quantum communication is same as classical communication. The signal receiver once received quantum signals transmitted, and the receiver eliminates the corresponding uncertainty of quantum. Therefore, the quantum information is the elimination of quantum uncertainty, and which is called quantum information I. From two point of views, the possible events and eliminate uncertainty, the quantum information and classical information have family resemblance. Quantum information like Classical information way of transmission, it is delivered by the information source, and is received by recipient through the information channel. Quantum Information is similar to classical information, but more essential difference between them, specifically in the following three aspects: (1) The probability directly describe the possibility of classic events, while wave function (or probability amplitude) describes quantum events in the quantum world, and the absolute square of wave function is corresponded to classical probability. (2)There have the essential difference between qubits (quantum qits) and classical bits. (3) Classical information can be completely cloned or deleted. nevertheless, quantum information is neither cloned (no-cloning), nor removed completely. To my point of view, through the analysis of the process of quantum teleportation, a quantum uncertainty can be divided into three categories: the first is the external uncertainties of microscopic particles; the second the uncertainty of the superposition state; the third the inherent uncertainty of microscopic particles. These three uncertainties can be eliminated by three different ways that are transmission of quantum information, accurate quantum transformations and the creations of quantum entanglement. Therefore we can give the general definition of certainty: a situation (the state of events, things) is of certainty, if they are satisfied with the following conditions: (a) a situation is entirely determined by n events parameters; (b) n parameters of events has an accurate values simultaneously. The existences of quantum states form quantum facts. Quantum states show themselves, and therefore it releases the information to the outside world. For this reason, there have two aspects of quantum state which need to express: existence of quantum state is the quantum fact, here we emphasize "existence"; and quantum state can show to the external world, which is the quantum information, here we emphasize "Show". Hence, quantum information is the show(Zeigt) of quantum state, which is called quantum information II. The nature of quantum information is the show of quantum events and their correlated ways. Quantum information is a kind of certainty and order. Quantum information can be divided into quantum informationⅠand quantum informationⅡ.. Quantum InformationⅠjust only a phenomenonal definition, it does not go deeply into the nature of the information. Therefore, the elimination of uncertainty can not be seen as the nature of quantum information itself . In the process of quantum teleportation, the source of quantum information (such as quantum state , a and b are coefficients) is delivered to the receiver, what is the essence of quantum information? From the point of view of quantum information theory, quantum state represents quantum information, quantum state is the state of quantum system (or microscopic particles) or quantum events. in the quantum state , what quantum states disclose the quantum information does not be the absolute size of quantum information, but the relationship, since the coefficients a and b satisfy the condition , and it do not be important numerical a and b, but between their relative size and relationship, which reflects the correlated ways between a and b. The connotation of quantum InformationⅠand quantum information Ⅱ offers support for the common view of classical information concept. Which is more deeply to disclose the nature of quantum information for both of them? Obviously, quantum information Ⅱ reflects the nature of quantum information. Quantum reality and quantum information are unified. What the wave function expresses is quantum reality. The wave function is unified of quantum information and quantum reality. There is no quantum reality, there is no quantum information. Because of the information and reality are unified, and quantum information different from classical information, so we can deduce that quantum reality is different from classical reality, and quantum computing differs from classical computing. In the classical parallel computing, the value calculated in different circuits respectively, but in parallel quantum computing the value calculated in one circuit, which is the essential difference between classical and quantum parallel computing. Many worlds interpretation of quantum mechanics does not mean that the difference between quantum and classical disappears: (1) Superposition in the microscopic world is very different from classical macroscopic physical world, so it is impossible that the superposition principle is fit for quantum world used for the classical world; (2) "To perform a quantum measurement, quantum world can be split up numerous classical world" is not supported by any experience and evidence; (3) Each branches of quantum computing are in quantum states, and quantum states are coherent, holistic, and some even entangled. Nevertheless, it is impossible for classical computing to achieve the quantum computing’s specific features; (4) The essential differences between quantum and the classical are decided by the development history of quantum mechanics and quantum information theory. The differences between quantum and the classical is really established by the quantum theory, concepts and their experiments that include Heisenberg’s matrix mechanics of Schrodinger’s wave equation, uncertainty principle of quantum mechanics and quantum entanglement phenomena and so on. They are completely different from the classical physical theories, concepts and experiments. Figure 1. Quantum information processing (see PDF version for the Figure). Conclusions This fruitful work gives an discussion of quantum concept that is the quantum information is the elimination of quantum uncertainty, which is called quantum information I and quantum information is the show (Zeigt) of quantum state, which is called quantum information II. Quantum information II reflects the nature of quantum information. The nature of quantum information is the show of quantum events and their correlated ways. Acknowledgments This research work of this paper is supported by 2011 the Philosophy and Social Sciences Foundation of the Ministry of Education of P. R. China (Project Number: 11JZD007) " Studies of the development trend of contemporary technological philosophy" . References and Notes Weiner, N., Cybernetics and Society. Houghton Mifflin Company, 1950. Shannon, C. E., The Mathematical Theory of Communication. The Bell System Technical Journal. 1948, Vol.27, pp.379-423, 623-656. Kornwachs K., Jacoby K., Introduction: What’s new about information? In Kornwachs K., Jacoby K.eds. Information. Berlin: Akademic Verlag GmbH. 1996. Bouwmeester, D. Pan, J.-W.，et al. Experimental Quantum Teleportation. Nature. 1997. 390. Bennett C. H. and Di Vinecenzo D. P. quantum information and computation, Nature, 2000, 404. Einstein, A. Podolsky B., and Rosen, N. Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Physical Review. 1935,47. Nielsen, M. A. Chuang, I. L., Quantum Computation and Quantum Information. Cambridge University Press, 2000. Duwell, A. Quantum information does not exist. Studies in History and Philosophy of Modern Physics，2003, (34). Berta, M. Christandl, M. Colbeck, R., et al. The uncertainty principle in the presence of quantum memory. Nat. Phys., 2010, (6). Caves， M. and Fuchs，C. A. 1996. Quantum information：how much information in a state vector?. preprint quant-ph/9601025. Barrow, J., et al, Science and Ultimate Reality: Quantum Theory, Cosmology and Complexity. Cambridge University Press. 2004. Yongde Zhang, Principles of Quantum Information Physics. Beijing: Science Press. 2006. Wheeler, J. A., At Home in the Universe. New York: Springer-Verlag. 1996. Guolin Wu, Quantum Entanglement And Its Philosophical Meaning, Studies in Dialectics of Nature, 2005, (7). Guolin Wu, A Detailed Philosophical Inquiry of the Quantum Information, Philosophical Researches. 2014, (8). Guolin Wu, Philosophical Connotation of quantum information Technology. Philosophical Trend. 2013, (8).
All the concepts and principles necessary to understand quantum mechanics on an initial level are given in a form suitable for the non-expert. The concepts explained include visualizing the wave function, wave-particle duality, the implications of Schrodinger's cat, probability, the uncertainty principle, collapse of the wave function, and others. However, because of the peculiar, non-intuitive nature of quantum mechanics, one must understand the potential interpretations of its mathematics before one can properly understand these concepts. Thus the paper is organized aorund interpretations, conceptual pictures that explain the peculiar properties of the theory. The only interpretation that currently satisfies all the constraints imposed by experiments and the theory itself makes use of a perceiving Mind which is outside the laws of quantum mechanics.
Introduction Quantum information theory is the study of how the peculiar features of quantum mechanics can be exploited for the purposes of information processing and transmission. A central theme of such a study is the ways in which quantum mechanics opens up possibilities that go beyond what can be achieved classically. This has in turn led to a renewed interest in, and a new perspective on, the differences between the classical and the quantum. Although much of the work along these lines has been motivated by quantum information theory – and some of it has been motivated by the conviction that quantum theory is essentially about possibilities of information processing and transmission – the results obtained, and the frameworks developed, have interest even for those of us who are not of that conviction. Indeed, much of the recent work echoes, and builds upon, work that predates the inception of quantum information theory. The significance of such work extends beyond the setting of quantum information theory; the work done on distinguishing the quantum from the classical in the context of frameworks that embrace both is something worthy of the attention of anyone interested in the foundational issues surrounding quantum theory. One of the striking features of quantum mechanics lies in its probabilistic character. A quantum state yields, not a definite prediction of the outcome of an experiment, but a probability measure on the space of possible outcomes. Of course, probabilities occur also in a classical context.
Quantum theory confronts us with bizarre paradoxes which contradict the logic of classical physics. At the subatomic level, one particle seems to know what the others are doing, and according to Heisenberg's "uncertainty principle", there is a limit on how accurately nature can be observed. And yet the theory is amazingly accurate and widely applied, explaining all of chemistry and most of physics. "Introducing Quantum Theory" takes us on a step-by-step tour with the key figures, including Planck, Einstein, Bohr, Heisenberg and Schrodinger. Each contributed at least one crucial concept to the theory. The puzzle of the wave-particle duality is here, along with descriptions of the two questions raised against Bohr's "Copenhagen Interpretation" - the famous "dead and alive cat" and the EPR paradox. Both remain unresolved.
The approach to thinking about information developed in the previous chapter is turned towards the quantum theory. First, some of the characteristic ideas and applications of quantum information theory are presented, then the nature of quantum information itself is discussed. With the correct conception of Shannon information to hand, the dimension of generalisation which the quantum concept occupies is made clear. Quantum information is simply what is produced by a quantum information source. As in the classical case, a piece of information will be an abstract type (a sequence of quantum states), rather than a concrete thing or physical substance. This conception is defended from a number of potential objections which might be raised. With a clear grasp obtained of the relation between quantum information and the world, it proves short work to dissect the slogan `Information is Physical’ and dispatch the prospect of informational immaterialism.
Quantum information stands apart from classical information, rooted in the principles of quantum mechanics and quantum information theory. Quantum states serve as the fundamental unit of quantum information, whose evolution is governed by the laws of quantum mechanics. While some philosophers, such as A. Duwell have argued that there is no quantum information, which is not a new concept and can be described using Shannon information theory, others, like C. M. Caves and C. A. Fuchs have proposed that quantum information represents classical information stored within quantum systems. However, this chapter argues that quantum information exists and is different from classical information from the perspectives of how information exists and how it is transmitted. Quantum information, unlike classical information, can be categorized into two kinds: Ontological quantum information and epistemological quantum information, where the former reflects the inherent state of microscopic particles, which is independent of observation, and the latter describes how we perceive their state through measurements. Finally, this chapter explores the connection between quantum information and quantum reality. Quantum reality refers to the show of the self-identity of quantum entities. Quantum information, on the other hand, is the show of the states and correlative ways of quantum entities, and it coexists with quantum reality.