Results for ' Quantum Entanglement'

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  1. Quantum Entanglement, Bohmian Mechanics, and Humean Supervenience.Elizabeth Miller - 2014 - Australasian Journal of Philosophy 92 (3):567-583.
    David Lewis is a natural target for those who believe that findings in quantum physics threaten the tenability of traditional metaphysical reductionism. Such philosophers point to allegedly holistic entities they take both to be the subjects of some claims of quantum mechanics and to be incompatible with Lewisian metaphysics. According to one popular argument, the non-separability argument from quantum entanglement, any realist interpretation of quantum theory is straightforwardly inconsistent with the reductive conviction that the complete (...)
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  2.  19
    Interpreting Quantum Entanglement: Steps towards Coherentist Quantum Mechanics.Matteo Morganti & Claudio Calosi - 2021 - British Journal for the Philosophy of Science 72 (3):865-891.
    We put forward a new, ‘coherentist’ account of quantum entanglement, according to which entangled systems are characterized by symmetric relations of ontological dependence among the component particles. We compare this coherentist viewpoint with the two most popular alternatives currently on offer—structuralism and holism—and argue that it is essentially different from, and preferable to, both. In the course of this article, we point out how coherentism might be extended beyond the case of entanglement and further articulated.
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  3. Interpreting Quantum Entanglement: Steps towards Coherentist Quantum Mechanics.Claudio Calosi & Matteo Morganti - 2018 - British Journal for the Philosophy of Science:axy064.
    We put forward a new, ‘coherentist’ account of quantum entanglement, according to which entangled systems are characterized by symmetric relations of ontological dependence among the component particles. We compare this coherentist viewpoint with the two most popular alternatives currently on offer—structuralism and holism—and argue that it is essentially different from, and preferable to, both. In the course of this article, we point out how coherentism might be extended beyond the case of entanglement and further articulated.
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  4. From Quantum Entanglement to Spatiotemporal Distance.Alyssa Ney - 2021 - In Christian Wüthrich, Baptiste Le Bihan & Nick Huggett (eds.), Philosophy Beyond Spacetime. Oxford: Oxford University Press.
    Within the field of quantum gravity, there is an influential research program developing the connection between quantum entanglement and spatiotemporal distance. Quantum information theory gives us highly refined tools for quantifying quantum entanglement such as the entanglement entropy. Through a series of well-confirmed results, it has been shown how these facts about the entanglement entropy of component systems may be connected to facts about spatiotemporal distance. Physicists are seeing these results as yielding (...)
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  5. Relativity, Quantum Entanglement, Counterfactuals, and Causation.Luke Fenton-Glynn & Thomas Kroedel - 2015 - British Journal for the Philosophy of Science 66 (1):45-67.
    We investigate whether standard counterfactual analyses of causation imply that the outcomes of space-like separated measurements on entangled particles are causally related. Although it has sometimes been claimed that standard CACs imply such a causal relation, we argue that a careful examination of David Lewis’s influential counterfactual semantics casts doubt on this. We discuss ways in which Lewis’s semantics and standard CACs might be extended to the case of space-like correlations.
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  6. Quantum Entanglement and Uncertainty Principle.Michele Caponigro - manuscript
    We argue about quantum entanglement and the uncertainty principle through the tomographic approach. In the end of paper, we infer some epistemological implications.
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  7. Quantum Entanglement vs Non-Locality.Michele Caponigro - manuscript
    In this brief paper, we argue about the relationship between quantum entanglement and non-locality.
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  8. Quantum Entanglement Undermines Structural Realism.Seungbae Park - 2022 - Metaphysica 23 (1):1-13.
    Quantum entanglement poses a challenge to the traditional metaphysical view that an extrinsic property of an object is determined by its intrinsic properties. So structural realists might be tempted to cite quantum entanglement as evidence for structural realism. I argue, however, that quantum entanglement undermines structural realism. If we classify two entangled electrons as a single system, we can say that their spin properties are intrinsic properties of the system, and that we can have (...)
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  9. From Time Asymmetry to Quantum Entanglement: The Humean Unification.Eddy Keming Chen - 2022 - Noûs 56 (1):227-255.
    Two of the most difficult problems in the foundations of physics are (1) what gives rise to the arrow of time and (2) what the ontology of quantum mechanics is. I propose a unified 'Humean' solution to the two problems. Humeanism allows us to incorporate the Past Hypothesis and the Statistical Postulate into the best system, which we then use to simplify the quantum state of the universe. This enables us to confer the nomological status to the (...) state in a way that adds no significant complexity to the best system and solves the ''supervenient-kind problem'' facing the original version of the Past Hypothesis. We call the resultant theory the Humean unification. It provides a unified explanation of time asymmetry and quantum entanglement. On this theory, what gives rise to time's arrow is also responsible for quantum phenomena. The new theory has a separable mosaic, a best system that is simple and non-vague, less tension between quantum mechanics and special relativity, and a higher degree of theoretical and dynamical unity. The Humean unification leads to new insights that can be useful to Humeans and non-Humeans alike. (shrink)
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  10. Quantum Entanglement and Time.Michele Caponigro - manuscript
    In this paper, we argue about temporal Bell Inequalities in order to introduce the notion of entanglement in Time .
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  11. Quantum Entanglement: epistemological overview.Michele Caponigro - manuscript
    In this paper, we will introduce a brief history of Quantum Entanglement (QE) with reference to important works: 1) Jaeger (Jaeger 2010) and 2) Emerson (Emerson, 2009).
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  12. Quantum Entanglement:Can We "See" the Implicate Order?Philosophical Speculations.Michele Caponigro, Xiaojiang Jiang, Ravi Prakash & Ram Lakhan Pandey Vimal - 2010 - Neuroquantology 8 (378):389.
    This brief paper argue about a possible philosophical description of the implicate order starting from a simple theoretical experiment. Utilizing an EPR source and the human eyes of a "single" person, we try to investigate the philosophical and physical implications of quantum entanglement in terms of implicate order. We know, that most specialists still disagree on the exact number of photons required to trigger a neural response, although there will be many technical challenges, we assume that neural response (...)
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  13. Explanation, Emergence, and Quantum Entanglement.Andreas Hüttemann - 2005 - Philosophy of Science 72 (1):114-127.
    This paper tries to get a grip on two seemingly conflicting intuitions about reductionism in quantum mechanics. On the one hand it is received wisdom that quantum mechanics puts an end to ‘reductionism’. Quantum-entanglement is responsible for such features of quantum mechanics as holism, the failure of supervenience and emergence. While I agree with these claims I will argue that it is only part of the story. Quantum mechanics provides us with thorough-going reductionist explanations. (...)
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  14. The Strange Nature of Quantum Entanglement: Can Observers of Entangled Photons Become Entangled With Each Other?Steven M. Rosen - 2023 - Journal of Mind and Behavior 44 (3 and 4):157-170.
    This paper seeks to extend my recent work on quantum perception (Rosen, 2021) to the phenomenon of quantum entanglement. In the first section, I summarize the earlier work, noting how the conventional approach to observing photons is rooted in an objectivist philosophy that serves as an obstacle to probing the underlying quantum reality. In the summary provided, I bring out the intimate relationship between observer and observed in the quantum world, and the need for a (...)
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  15. Many- Worlds Interpretation and Quantum Entanglement.Michele Caponigro - manuscript
    We argue from conceptual point of view the relationship between quantum entanglement and many-worlds interpretation of quantum mechanics, the debate is still open, but we retain the objective Bayesian interpretation of quantum probability could be an interesting approach to solve this fundamental question.
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  16. Epistemic vs Ontic Classification of quantum entangled states?Michele Caponigro & Enrico Giannetto - 2012 - Discusiones Filosóficas 13 (20):137 - 145.
    In this brief paper, starting from recent works, we analyze from conceptual point of view this basic question: can be the nature of quantum entangled states interpreted ontologically or epistemologically? According some works, the degrees of freedom of quantum systems permit us to establish a possible classification between factorizables and entangled states. We suggest, that the "choice" of degree of freedom, even if mathematically justified introduces epistemic element, not only in the systems but also in their classification. We (...)
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  17. Carl G. Jung’s Synchronicity and Quantum Entanglement: Schrödinger’s Cat ‘Wanders’ Between Chromosomes.Igor V. Limar - 2011 - Neuroquantology 9 (2):313-321.
    One of the most prospective directions of study of C.G. Jung’s synchronicity phenomenon is reviewed considering the latest achievements of modern science. The attention is focused mainly on the quantum entanglement and related phenomena – quantum coherence and quantum superposition. It is shown that the quantum non-locality capable of solving the Einstein-Podolsky-Rosen paradox represents one of the most adequate physical mechanisms in terms of conformity with the Jung’s synchronicity hypothesis. An attempt is made on psychophysiological (...)
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  18. Understanding memories of a near-death experience from the perspective of quantum entanglement and in the presence of the supernatural.Contzen Pereira & Janice Harter - 2016 - Journal of Metaphysics and Connected Consciousness 2.
    Near-death experiences are a big challenge to the fields of science and philosophy; termed as hallucinatory by neurologists and “stuff of which fantasies are made off” by sceptics, there are some unique near-death experiences which defy these claims. Memories generated during these experiences are of specific interest as they are created without a body and can be recalled post the experience. Call it the mind, soul, psyche or consciousness, if deliberated as a form of quantum generated energy, a strong (...)
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  19.  84
    Superluminal Data Transmission supported in Quantum Entanglement.Alfonso Leon Guillen Gomez - manuscript
    A bit classical technique, supported by quantum entanglement, is presented for superluminal data teleportation, from a transmitter to a receiver, theoretically placed at any distance.
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  20. A Version of Jung’s Synchronicity in the Event of Correlation of Mental Processes in the Past and the Future: Possible Role of Quantum Entanglement in Quantum Vacuum.Limar Igor V. - forthcoming - Neuroquantology.
    This paper deals with the version of Jung’s synchronicity in which correlation between mental processes of two different persons takes place not just in the case when at a certain moment of time the subjects are located at a distance from each other, but also in the case when both persons are alternately (and sequentially, one after the other) located in the same point of space. In this case, a certain period of time lapses between manifestation of mental process in (...)
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  21. The philosophical implications of the loophole-free violation of Bell’s inequality: Quantum entanglement, timelessness, triple-aspect monism, mathematical Platonism and scientific morality.Gilbert B. Côté - manuscript
    The demonstration of a loophole-free violation of Bell's inequality by Hensen et al. (2015) leads to the inescapable conclusion that timelessness and abstractness exist alongside space-time. This finding is in full agreement with the triple-aspect monism of reality, with mathematical Platonism, free will and the eventual emergence of a scientific morality.
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  22. Quantum Mechanical Reality: Entanglement and Decoherence.Avijit Lahiri - manuscript
    We look into the ontology of quantum theory as distinct from that of the classical theory in the sciences. Theories carry with them their own ontology while the metaphysics may remain the same in the background. We follow a broadly Kantian tradition, distinguishing between the noumenal and phenomenal realities where the former is independent of our perception while the latter is assembled from the former by means of fragmentary bits of interpretation. Theories do not tell us how the noumenal (...)
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  23. Sensitivity of entanglement measures in bipartite pure quantum states.Danko D. Georgiev & Stanley P. Gudder - 2022 - Modern Physics Letters B 36 (22):2250101.
    Entanglement measures quantify the amount of quantum entanglement that is contained in quantum states. Typically, different entanglement measures do not have to be partially ordered. The presence of a definite partial order between two entanglement measures for all quantum states, however, allows for meaningful conceptualization of sensitivity to entanglement, which will be greater for the entanglement measure that produces the larger numerical values. Here, we have investigated the partial order between the (...)
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  24.  54
    A Remark on how a Consciousness Model and Entanglement can lead us to Quantum Communication.Victor Christianto, Robert N. Boyd & Florentin Smarandache - manuscript
    In a recent paper, we describe how a model of quantum communication based on combining consciousness experiment and entanglement can serve as impetus to stop 5G-caused diseases. Therefore, in this paper we will discuss how entanglement can be explained in terms of quantum theory. This short review may be considered as an effort to bring QM into real problem solving, i.e. telecommunication.
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  25. A taxonomy for the mereology of entangled quantum systems.Paul M. Näger & Niko Strobach - manuscript
    The emerging field of quantum mereology considers part-whole relations in quantum systems. Entangled quantum systems pose a peculiar problem in the field, since their total states are not reducible to that of their parts. While there exist several established proposals for modelling entangled systems, like monistic holism or relational holism, there is considerable unclarity, which further positions are available. Using the lambda operator and plural logic as formal tools, we review and develop conceivable models and evaluate their (...)
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  26. Quantum Mechanics in a Time-Asymmetric Universe: On the Nature of the Initial Quantum State.Eddy Keming Chen - 2021 - British Journal for the Philosophy of Science 72 (4):1155–1183.
    In a quantum universe with a strong arrow of time, we postulate a low-entropy boundary condition to account for the temporal asymmetry. In this paper, I show that the Past Hypothesis also contains enough information to simplify the quantum ontology and define a unique initial condition in such a world. First, I introduce Density Matrix Realism, the thesis that the quantum universe is described by a fundamental density matrix that represents something objective. This stands in sharp contrast (...)
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  27. This Year's Nobel Prize (2022) in Physics for Entanglement and Quantum Information: the New Revolution in Quantum Mechanics and Science.Vasil Penchev - 2023 - Philosophy of Science eJournal (Elsevier: SSRN) 18 (33):1-68.
    The paper discusses this year’s Nobel Prize in physics for experiments of entanglement “establishing the violation of Bell inequalities and pioneering quantum information science” in a much wider, including philosophical context legitimizing by the authority of the Nobel Prize a new scientific area out of “classical” quantum mechanics relevant to Pauli’s “particle” paradigm of energy conservation and thus to the Standard model obeying it. One justifies the eventual future theory of quantum gravitation as belonging to the (...)
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  28. Microscopic and Macroscopic Quantum Realms.Moorad Alexanian - 2014 - Perspectives on Science and Christian Faith 66 (2):127-128.
    Quantum entanglement lies at the foundation of quantum mechanics. Witness Schrödinger highlighting entanglement with his puzzling cat thought experiment and Einstein deriding it as “spooky action at a distance.” Nonetheless, quantum entanglement has been verified experimentally and is essential for quantum information and quantum computing. The quantum superposition principle, together with entanglement, dramatically contrasts the quantum from the classical description of reality. We attempt to integrate physical reality with a (...)
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  29. Intrinsicality and Entanglement.Isaac Wilhelm - 2022 - Mind 131 (521):35-58.
    I explore the relationship between a prominent analysis of intrinsic properties, due to Langton and Lewis, and the phenomenon of quantum entanglement. As I argue, the analysis faces a puzzle. The full analysis classifies certain properties of entangled particles as intrinsic. But when combined with an extremely plausible assumption about duplication, the main part of the analysis classifies those properties as non-intrinsic instead. I conclude that much of Lewis’s metaphysics is in trouble: Lewis based many of his metaphysical (...)
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  30. The Mereological Problem of Entanglement.Paul M. Näger - manuscript
    It is well-known that the entangled quantum state of a composite object cannot be reduced to the states of its parts. This quantum holism provides a peculiar challenge to formulate an appropriate mereological model: When a system is in an entangled state, which objects are there on the micro and macro level, and which of the objects carries which properties? This paper chooses a modeling approach to answer these questions: It proceeds from a systematic overview of consistent mereological (...)
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  31. Entanglement and thermodynamics in general probabilistic theories.Giulio Chiribella & Carlo Maria Scandolo - 2015 - New Journal of Physics 17:103027.
    Entanglement is one of the most striking features of quantum mechanics, and yet it is not specifically quantum. More specific to quantum mechanics is the connection between entanglement and thermodynamics, which leads to an identification between entropies and measures of pure state entanglement. Here we search for the roots of this connection, investigating the relation between entanglement and thermodynamics in the framework of general probabilistic theories. We first address the question whether an entangled (...)
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  32. Quantum Mereology: Factorizing Hilbert Space into Subsystems with Quasi-Classical Dynamics.Sean M. Carroll & Ashmeet Singh - 2021 - Physical Review A 103 (2):022213.
    We study the question of how to decompose Hilbert space into a preferred tensor-product factorization without any pre-existing structure other than a Hamiltonian operator, in particular the case of a bipartite decomposition into "system" and "environment." Such a decomposition can be defined by looking for subsystems that exhibit quasi-classical behavior. The correct decomposition is one in which pointer states of the system are relatively robust against environmental monitoring (their entanglement with the environment does not continually and dramatically increase) and (...)
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  33.  52
    A Review on Entanglement and Maxwell-Dirac Isomorphism.Victor Christianto & Florentin Smarandache - manuscript
    In RG forum, one senior professor of physics posted a project called: “Future science and technology.” As a response, one of us (VC) wrote in reply: “I think one of future science's tasks is to discover the link between entanglement and classical electromagnetic theory. This is to fulfill Einstein's position that present QM theory is incomplete, a new one must be found. We are on a way to that goal.” Therefore, in this paper we will discuss how entanglement (...)
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  34. Entanglement, joint measurement, and state reduction.Alan Macdonald - 2003 - International Journal of Theoretical Physics 42:943-953.
    Entanglement has been called the most important new feature of the quantum world. It is expressed in the quantum formalism by the joint measurement formula. We prove the formula for projection valued observables from a plausible assumption, which for spacelike separated measurements is an expression of relativistic causality. The state reduction formula is simply a way to express the joint measurement formula after one measurement has been made, and its result known.
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  35. Spooky action at a distance: The puzzle of entanglement in quantum theory.Alan Macdonald - manuscript
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  36. A Unified Explanation of Quantum Phenomena? The Case for the Peer‐to‐Peer Simulation Hypothesis as an Interdisciplinary Research Program.Marcus Arvan - 2014 - Philosophical Forum 45 (4):433-446.
    In my 2013 article, “A New Theory of Free Will”, I argued that several serious hypotheses in philosophy and modern physics jointly entail that our reality is structurally identical to a peer-to-peer (P2P) networked computer simulation. The present paper outlines how quantum phenomena emerge naturally from the computational structure of a P2P simulation. §1 explains the P2P Hypothesis. §2 then sketches how the structure of any P2P simulation realizes quantum superposition and wave-function collapse (§2.1.), quantum indeterminacy (§2.2.), (...)
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  37. Quantum-like non-separability of concept combinations, emergent associates and abduction.P. Bruza, K. Kitto, B. Ramm, L. Sitbon & D. Song - 2012 - Logic Journal of the IGPL 20 (2):445-457.
    Consider the concept combination ‘pet human’. In word association experiments, human subjects produce the associate ‘slave’ in relation to this combination. The striking aspect of this associate is that it is not produced as an associate of ‘pet’, or ‘human’ in isolation. In other words, the associate ‘slave’ seems to be emergent. Such emergent associations sometimes have a creative character and cognitive science is largely silent about how we produce them. Departing from a dimensional model of human conceptual space, this (...)
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  38. Quantum theory without measurement or state reduction problems.Alan Macdonald - manuscript
    There is a consistent and simple interpretation of the quantum theory of isolated systems. The interpretation suffers no measurement problem and provides a quantum explanation of state reduction, which is usually postulated. Quantum entanglement plays an essential role in the construction of the interpretation.
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  39. Quantum Gravity in a Laboratory?Nick Huggett, Niels S. Linnemann & Mike D. Schneider - manuscript
    It has long been thought that observing distinctive traces of quantum gravity in a laboratory setting is effectively impossible, since gravity is so much weaker than all the other familiar forces in particle physics. But the quantum gravity phenomenology community today seeks to do the (effectively) impossible, using a challenging novel class of `tabletop' Gravitationally Induced Entanglement (GIE) experiments, surveyed here. The hypothesized outcomes of the GIE experiments are claimed by some (but disputed by others) to provide (...)
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  40. Entanglement theory and the second law of thermodynamics.Martin Plenio - unknown
    Entangled quantum systems can be harnessed to transmit, store, and manipulate information in a more efficient and secure way than possible in the realm of classical physics. Given this resource character of entanglement, it is an important problem to characterize ways to manipulate it and meaningful approaches to its quantification. This is the objective of entanglement theory.
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  41. Quantum Physics: an overview of a weird world: A primer on the conceptual foundations of quantum physics.Marco Masi - 2019 - Indy Edition.
    This is the first book in a two-volume series. The present volume introduces the basics of the conceptual foundations of quantum physics. It appeared first as a series of video lectures on the online learning platform Udemy.]There is probably no science that is as confusing as quantum theory. There's so much misleading information on the subject that for most people it is very difficult to separate science facts from pseudoscience. The goal of this book is to make you (...)
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  42. Humean supervenience and tripartite entanglement relations.Lorenzo Lorenzetti - 2020 - Axiomathes 1:1-15.
    It has been argued that Humean Supervenience is threatened by the existence of quantum entanglement relations. The most conservative strategy for defending HS is to add the problematic entanglement relations to the supervenience basis, alongside spatiotemporal relations. In this paper, I’m going to argue against this strategy by showing how certain particular cases of tripartite entanglement states – i.e. GHZ states – posit some crucial problems for this amended version of HS. Moreover, I will show that (...)
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  43. A Quantum Computer in a 'Chinese Room'.Vasil Penchev - 2020 - Mechanical Engineering eJournal (Elsevier: SSRN) 3 (155):1-8.
    Pattern recognition is represented as the limit, to which an infinite Turing process converges. A Turing machine, in which the bits are substituted with qubits, is introduced. That quantum Turing machine can recognize two complementary patterns in any data. That ability of universal pattern recognition is interpreted as an intellect featuring any quantum computer. The property is valid only within a quantum computer: To utilize it, the observer should be sited inside it. Being outside it, the observer (...)
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  44. Reverse Quantum Mechanics: Ontological Path.Michele Caponigro - manuscript
    This paper is essentially a quantum philosophical challenge: starting from simple assumptions, we argue about an ontological approach to quantum mechanics. In this paper, we will focus only on the assumptions. While these assumptions seems to solve the ontological aspect of theory many others epistemological problems arise. For these reasons, in order to prove these assumptions, we need to find a consistent mathematical context (i.e. time reverse problem, quantum entanglement, implications on quantum fields, Schr¨odinger cat (...)
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  45. Origin of Quantum Mechanical Results and Life: A Clue from Quantum Biology.Biswaranjan Dikshit - 2018 - Neuroquantology 16 (4):26-33.
    Although quantum mechanics can accurately predict the probability distribution of outcomes in an ensemble of identical systems, it cannot predict the result of an individual system. All the local and global hidden variable theories attempting to explain individual behavior have been proved invalid by experiments (violation of Bell’s inequality) and theory. As an alternative, Schrodinger and others have hypothesized existence of free will in every particle which causes randomness in individual results. However, these free will theories have failed to (...)
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  46. Interpreting Quantum Mechanics and Predictability in Terms of Facts About the Universe.Andrew Knight - manuscript
    A potentially new interpretation of quantum mechanics posits the state of the universe as a consistent set of facts that are instantiated in the correlations among entangled objects. A fact (or event) occurs exactly when the number or density of future possibilities decreases, and a quantum superposition exists if and only if the facts of the universe are consistent with the superposition. The interpretation sheds light on both in-principle and real-world predictability of the universe.
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  47. What the Humean Should Say About Entanglement.Harjit Bhogal & Zee Perry - 2017 - Noûs 51 (1):74-94.
    Tim Maudlin has influentially argued that Humeanism about laws of nature stands in conflict with quantum mechanics. Specifically Humeanism implies the principle Separability: the complete physical state of a world is determined by the intrinsic physical state of each space-time point. Maudlin argues Separability is violated by the entangled states posited by QM. We argue that Maudlin only establishes that a stronger principle, which we call Strong Separability, is in tension with QM. Separability is not in tension with QM. (...)
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  48. Gravity as Entanglement. Entanglement as Gravity.Vasil Penchev - 2020 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 12 (30):1-23.
    A generalized and unifying viewpoint to both general relativity and quantum mechanics and information is investigated. It may be described as a generaliztion of the concept of reference frame from mechanics to thermodynamics, or from a reference frame linked to an element of a system, and thus, within it, to another reference frame linked to the whole of the system or to any of other similar systems, and thus, out of it. Furthermore, the former is the viewpoint of general (...)
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  49. Nagarjuna and Quantum Physics. Eastern and Western Modes of Thought.Christian Thomas Kohl - 2014 - Chinese Buddhist Encyclopedia.
    1.Summary The key terms. 1. Key term: ‘Sunyata’. Nagarjuna (Kumarajiva) is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna (Kumarajiva) declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing can be found, that there is nothing, that nothing exists? Was (...)
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  50. Quantum Invariance.Vasil Penchev - 2020 - Epistemology eJournal (Elsevier: SSRN) 13 (22):1-6.
    Quantum invariance designates the relation of any quantum coherent state to the corresponding statistical ensemble of measured results. The adequate generalization of ‘measurement’ is discussed to involve the discrepancy, due to the fundamental Planck constant, between any quantum coherent state and its statistical representation as a statistical ensemble after measurement. A set-theory corollary is the curious invariance to the axiom of choice: Any coherent state excludes any well-ordering and thus excludes also the axiom of choice. It should (...)
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