Results for 'Quantum computers'

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  1.  27
    Quantum Computation and Quantum Information.Michael A. Nielsen & Isaac L. Chuang - 2000 - Cambridge University Press.
    First-ever comprehensive introduction to the major new subject of quantum computing and quantum information.
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  2.  38
    Quantum Computation and Logic: How Quantum Computers Have Inspired Logical Investigations.Giuseppe Sergioli, Roberto Leporini, Roberto Giuntini & Maria Dalla Chiara - 2018 - Cham, Switzerland: Springer Verlag.
    This book provides a general survey of the main concepts, questions and results that have been developed in the recent interactions between quantum information, quantum computation and logic. Divided into 10 chapters, the books starts with an introduction of the main concepts of the quantum-theoretic formalism used in quantum information. It then gives a synthetic presentation of the main “mathematical characters” of the quantum computational game: qubits, quregisters, mixtures of quregisters, quantum logical gates. Next, (...)
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  3. Quantum computing.Amit Hagar & Michael Cuffaro - 2019 - Stanford Encyclopedia of Philosophy.
    Combining physics, mathematics and computer science, quantum computing and its sister discipline of quantum information have developed in the past few decades from visionary ideas to two of the most fascinating areas of quantum theory. General interest and excitement in quantum computing was initially triggered by Peter Shor (1994) who showed how a quantum algorithm could exponentially “speed-up” classical computation and factor large numbers into primes far more efficiently than any (known) classical algorithm. Shor’s algorithm (...)
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  4. Quantum computation in brain microtubules.Stuart R. Hameroff - 2002 - Physical Review E 65 (6):1869--1896.
    Proposals for quantum computation rely on superposed states implementing multiple computations simultaneously, in parallel, according to quantum linear superposition (e.g., Benioff, 1982; Feynman, 1986; Deutsch, 1985, Deutsch and Josza, 1992). In principle, quantum computation is capable of specific applications beyond the reach of classical computing (e.g., Shor, 1994). A number of technological systems aimed at realizing these proposals have been suggested and are being evaluated as possible substrates for quantum computers (e.g. trapped ions, electron spins, (...)
     
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  5. Quantum computation and pseudotelepathic games.Jeffrey Bub - 2008 - Philosophy of Science 75 (4):458-472.
    A quantum algorithm succeeds not because the superposition principle allows ‘the computation of all values of a function at once’ via ‘quantum parallelism’, but rather because the structure of a quantum state space allows new sorts of correlations associated with entanglement, with new possibilities for information‐processing transformations between correlations, that are not possible in a classical state space. I illustrate this with an elementary example of a problem for which a quantum algorithm is more efficient than (...)
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  6. Quantum Computational Structures: Categorical Equivalence for Square Root qMV -algebras.Hector Freytes - 2010 - Studia Logica 95 (1-2):63 - 80.
    In this paper we investigate a categorical equivalence between square root qMV-algehras (a variety of algebras arising from quantum computation) and a category of preordered semigroups.
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  7.  89
    Quantum Computing’s Classical Problem, Classical Computing’s Quantum Problem.Rodney Van Meter - 2014 - Foundations of Physics 44 (8):819-828.
    Tasked with the challenge to build better and better computers, quantum computing and classical computing face the same conundrum: the success of classical computing systems. Small quantum computing systems have been demonstrated, and intermediate-scale systems are on the horizon, capable of calculating numeric results or simulating physical systems far beyond what humans can do by hand. However, to be commercially viable, they must surpass what our wildly successful, highly advanced classical computers can already do. At the (...)
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  8.  20
    Hector freytes, Antonio ledda, Giuseppe sergioli and.Roberto Giuntini & Probabilistic Logics in Quantum Computation - 2013 - In Hanne Andersen, Dennis Dieks, Wenceslao J. Gonzalez, Thomas Uebel & Gregory Wheeler (eds.), New Challenges to Philosophy of Science. Springer Verlag. pp. 49.
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  9. Quantum Computer: Quantum Model and Reality.Vasil Penchev - 2020 - Epistemology eJournal (Elsevier: SSRN) 13 (17):1-7.
    Any computer can create a model of reality. The hypothesis that quantum computer can generate such a model designated as quantum, which coincides with the modeled reality, is discussed. Its reasons are the theorems about the absence of “hidden variables” in quantum mechanics. The quantum modeling requires the axiom of choice. The following conclusions are deduced from the hypothesis. A quantum model unlike a classical model can coincide with reality. Reality can be interpreted as a (...)
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  10.  40
    Quantum computational logic with mixed states.Hector Freytes & Graciela Domenech - 2013 - Mathematical Logic Quarterly 59 (1-2):27-50.
    In this paper we solve the problem how to axiomatize a system of quantum computational gates known as the Poincaré irreversible quantum computational system. A Hilbert-style calculus is introduced obtaining a strong completeness theorem.
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  11.  31
    The Philosophy of Quantum Computing.Michael E. Cuffaro - 2022 - In Eduardo Reck Miranda (ed.), Quantum Computing in the Arts and Humanities: An Introduction to Core Concepts, Theory and Applications. Springer. pp. 107-152.
    From the philosopher’s perspective, the interest in quantum computation stems primarily from the way that it combines fundamental concepts from two distinct sciences: Physics, in particular Quantum Mechanics, and Computer Science, each long a subject of philosophical speculation and analysis in its own right. Quantum computing combines both of these more traditional areas of inquiry into one wholly new, if not quite independent, science. Over the course of this chapter we will be discussing some of the most (...)
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  12. A quantum computer only needs one universe.A. M. Steane - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):469-478.
    The nature of quantum computation is discussed. It is argued that, in terms of the amount of information manipulated in a given time, quantum and classical computation are equally efficient. Quantum superposition does not permit quantum computers to ''perform many computations simultaneously'' except in a highly qualified and to some extent misleading sense. Quantum computation is therefore not well described by interpretations of quantum mechanics which invoke the concept of vast numbers of parallel (...)
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  13. 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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  14. Natural Argument by a Quantum Computer.Vasil Penchev - 2020 - Computing Methodology eJournal (Elsevier: SSRN) 3 (30):1-8.
    Natural argument 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 natural arguments in any data. That ability of natural argument 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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  15. Is the brain a quantum computer?Abninder Litt, Chris Eliasmith, Frederick W. Kroon, Steven Weinstein & Paul Thagard - 2006 - Cognitive Science 30 (3):593-603.
    We argue that computation via quantum mechanical processes is irrelevant to explaining how brains produce thought, contrary to the ongoing speculations of many theorists. First, quantum effects do not have the temporal properties required for neural information processing. Second, there are substantial physical obstacles to any organic instantiation of quantum computation. Third, there is no psychological evidence that such mental phenomena as consciousness and mathematical thinking require explanation via quantum theory. We conclude that understanding brain function (...)
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  16. How-Possibly Explanations in (Quantum) Computer Science.Michael E. Cuffaro - 2015 - Philosophy of Science 82 (5):737-748.
    A primary goal of quantum computer science is to find an explanation for the fact that quantum computers are more powerful than classical computers. In this paper I argue that to answer this question is to compare algorithmic processes of various kinds and to describe the possibility spaces associated with these processes. By doing this, we explain how it is possible for one process to outperform its rival. Further, in this and similar examples little is gained (...)
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  17.  41
    On the impact of quantum computing technology on future developments in high-performance scientific computing.Matthias Möller & Cornelis Vuik - 2017 - Ethics and Information Technology 19 (4):253-269.
    Quantum computing technologies have become a hot topic in academia and industry receiving much attention and financial support from all sides. Building a quantum computer that can be used practically is in itself an outstanding challenge that has become the ‘new race to the moon’. Next to researchers and vendors of future computing technologies, national authorities are showing strong interest in maturing this technology due to its known potential to break many of today’s encryption techniques, which would have (...)
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  18.  8
    Quantum Computing Without Magic: Devices.Zdzislaw Meglicki - 2008 - MIT Press.
    How quantum computing is really done: a primer for future quantum device engineers.
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  19.  20
    Quantum computation and the untenability of a “No fundamental mentality” constraint on physicalism.Christopher Devlin Brown - 2022 - Synthese 201 (1):1-18.
    Though there is yet no consensus on the right way to understand ‘physicalism’, most philosophers agree that, regardless of whatever else is required, physicalism cannot be true if there exists fundamental mentality. I will follow Jessica Wilson (Philosophical Studies 131:61–99, 2006) in calling this the 'No Fundamental Mentality' (NFM) constraint on physicalism. Unfortunately for those who wish to constrain physicalism in this way, NFM admits of a counterexample: an artificially intelligent quantum computer which employs quantum properties as part (...)
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  20.  39
    Theory of quantum computation and philosophy of mathematics. Part I.Krzysztof Wójtowicz - 2009 - Logic and Logical Philosophy 18 (3-4):313-332.
    The aim of this paper is to present some basic notions of the theory of quantum computing and to compare them with the basic notions of the classical theory of computation. I am convinced, that the results of quantum computation theory (QCT) are not only interesting in themselves, but also should be taken into account in discussions concerning the nature of mathematical knowledge. The philosophical discussion will however be postponed to another paper. QCT seems not to be well-known (...)
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  21.  3
    On quantum computing for artificial superintelligence.Anna Grabowska & Artur Gunia - 2024 - European Journal for Philosophy of Science 14 (2):1-30.
    Artificial intelligence algorithms, fueled by continuous technological development and increased computing power, have proven effective across a variety of tasks. Concurrently, quantum computers have shown promise in solving problems beyond the reach of classical computers. These advancements have contributed to a misconception that quantum computers enable hypercomputation, sparking speculation about quantum supremacy leading to an intelligence explosion and the creation of superintelligent agents. We challenge this notion, arguing that current evidence does not support the (...)
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  22.  46
    The potential impact of quantum computers on society.Ronald de Wolf - 2017 - Ethics and Information Technology 19 (4):271-276.
    This paper considers the potential impact that the nascent technology of quantum computing may have on society. It focuses on three areas: cryptography, optimization, and simulation of quantum systems. We will also discuss some ethical aspects of these developments, and ways to mitigate the risks.
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  23.  19
    A quantum computer only needs one universe.A. M. Steane - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):469-478.
  24.  55
    Measurement-Based Quantum Computation and Undecidable Logic.Maarten Van den Nest & Hans J. Briegel - 2008 - Foundations of Physics 38 (5):448-457.
    We establish a connection between measurement-based quantum computation and the field of mathematical logic. We show that the computational power of an important class of quantum states called graph states, representing resources for measurement-based quantum computation, is reflected in the expressive power of (classical) formal logic languages defined on the underlying mathematical graphs. In particular, we show that for all graph state resources which can yield a computational speed-up with respect to classical computation, the underlying graphs—describing the (...)
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  25.  43
    Quantum Computation: Where Does the Speed-up Come From?Jeffrey Bub - 2010 - In Alisa Bokulich & Gregg Jaeger (eds.), Philosophy of quantum information and entanglement. New York: Cambridge University Press. pp. 231--246.
  26.  33
    An Introduction to Quantum Computing.Phillip Kaye, Raymond Laflamme & Michele Mosca - 2006 - Oxford, England: Oxford University Press UK.
    This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as quantum mechanics and computational complexity is (...)
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  27.  42
    Quantum computation and the conscious machine —the reason why computers will never be smarter than people.Peter J. Marcer - 1992 - AI and Society 6 (1):88-93.
  28.  22
    Towards a Multi Target Quantum Computational Logic.Giuseppe Sergioli - 2020 - Foundations of Science 25 (1):87-104.
    Unlike the standard Quantum Computational Logic, where the carrier of information is conventionally assumed to be only the last qubit over a sequence of many qubits, here we propose an extended version of the QCL where the number and the position of the target qubits are arbitrary.
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  29. Quantum Computation from a Quantum Logical Perspective.Jeffrey Bub - forthcoming - Philosophical Explorations.
  30.  13
    Trapped ion quantum computing and the principles of logic.Alfredo Pereira Jr & Roberson Polli - 2005 - Manuscrito 28 (2):559-573.
    An experimental realization of quantum computers is composed of two or more calcium ions trapped in a magnetic quadripole. Information is transferred to and read from the ions by means of structured lasers that interact with the ions’ vibration pattern, causing changes of energy distribution in their electronic structure. Departing from an initial state when the ions are cooled, the use of lasers modifies the internal state of one ion that is entangled with the others, then changing the (...)
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  31.  7
    Quantum computation, quantum theory and AI.Mingsheng Ying - 2010 - Artificial Intelligence 174 (2):162-176.
  32. On the Role of Quantum Computing in Grounding Morphological Complexity.Martina Properzi - 2018 - International Journal of Current Advanced Research 7 (9):15444-15448.
    In this Short Communication we will discuss the role played by quantum computing within the emerging morphological paradigm in the unconventional natural computing. We intend merely introduce the main reasons why a coherent representation of Universality in morphological natural computing needs to be grounded on a version of Quantum Field Theory independent, in many senses, from the Quantum Mechanics formalism in fundamental physics, namely formulated as a thermal field theory. This theory describes the “emergence” of natural information (...)
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  33. Many worlds, the cluster-state quantum computer, and the problem of the preferred basis.Michael E. Cuffaro - 2012 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 43 (1):35-42.
    I argue that the many worlds explanation of quantum computation is not licensed by, and in fact is conceptually inferior to, the many worlds interpretation of quantum mechanics from which it is derived. I argue that the many worlds explanation of quantum computation is incompatible with the recently developed cluster state model of quantum computation. Based on these considerations I conclude that we should reject the many worlds explanation of quantum computation.
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  34.  98
    Quantum Gravity on a Quantum Computer?Achim Kempf - 2014 - Foundations of Physics 44 (5):472-482.
    EPR-type measurements on spatially separated entangled spin qubits allow one, in principle, to detect curvature. Also the entanglement of the vacuum state is affected by curvature. Here, we ask if the curvature of spacetime can be expressed entirely in terms of the spatial entanglement structure of the vacuum. This would open up the prospect that quantum gravity could be simulated on a quantum computer and that quantum information techniques could be fully employed in the study of (...) gravity. (shrink)
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  35.  15
    Quantum computation in the neural membrane: Implications for the evolution of consciousness.Ron Wallace - 1996 - In Stuart R. Hameroff, Alfred W. Kaszniak & Alwyn Scott (eds.), Toward a Science of Consciousness: The First Tucson Discussions and Debates. MIT Press. pp. 419--424.
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  36.  89
    Universality, Invariance, and the Foundations of Computational Complexity in the light of the Quantum Computer.Michael Cuffaro - 2018 - In Hansson Sven Ove (ed.), Technology and Mathematics: Philosophical and Historical Investigations. Cham, Switzerland: Springer Verlag. pp. 253-282.
    Computational complexity theory is a branch of computer science dedicated to classifying computational problems in terms of their difficulty. While computability theory tells us what we can compute in principle, complexity theory informs us regarding our practical limits. In this chapter I argue that the science of \emph{quantum computing} illuminates complexity theory by emphasising that its fundamental concepts are not model-independent, but that this does not, as some suggest, force us to radically revise the foundations of the theory. For (...)
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  37.  51
    The Algebraic Structure of an Approximately Universal System of Quantum Computational Gates.Maria Luisa Dalla Chiara, Roberto Giuntini, Hector Freytes, Antonio Ledda & Giuseppe Sergioli - 2009 - Foundations of Physics 39 (6):559-572.
    Shi and Aharonov have shown that the Toffoli gate and the Hadamard gate give rise to an approximately universal set of quantum computational gates. We study the basic algebraic properties of this system by introducing the notion of Shi-Aharonov quantum computational structure. We show that the quotient of this structure is isomorphic to a structure based on a particular set of complex numbers (the closed disc with center \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(\frac{1}{2},\frac{1}{2})$\end{document} and (...)
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  38.  43
    MV-Algebras and Quantum Computation.Antonio Ledda, Martinvaldo Konig, Francesco Paoli & Roberto Giuntini - 2006 - Studia Logica 82 (2):245-270.
    We introduce a generalization of MV algebras motivated by the investigations into the structure of quantum logical gates. After laying down the foundations of the structure theory for such quasi-MV algebras, we show that every quasi-MV algebra is embeddable into the direct product of an MV algebra and a “flat” quasi-MV algebra, and prove a completeness result w.r.t. a standard quasi-MV algebra over the complex numbers.
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  39.  15
    Ethics of Quantum Computing: an Outline.Luca M. Possati - 2023 - Philosophy and Technology 36 (3):1-21.
    This paper intends to contribute to the emerging literature on the ethical problems posed by quantum computing and quantum technologies in general. The key ethical questions are as follows: Does quantum computing pose new ethical problems, or are those raised by quantum computing just a different version of the same ethical problems raised by other technologies, such as nanotechnologies, nuclear plants, or cloud computing? In other words, what is new in quantum computing from an ethical (...)
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  40.  37
    Quantum Computing since Democritus.Reviel Netz - 2014 - Common Knowledge 20 (3):490-491.
  41. On the (Im)possibility of Scalable Quantum Computing.Andrew Knight - manuscript
    The potential for scalable quantum computing depends on the viability of fault tolerance and quantum error correction, by which the entropy of environmental noise is removed during a quantum computation to maintain the physical reversibility of the computer’s logical qubits. However, the theory underlying quantum error correction applies a linguistic double standard to the words “noise” and “measurement” by treating environmental interactions during a quantum computation as inherently reversible, and environmental interactions at the end of (...)
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  42. A Mathematical Model of Quantum Computer by Both Arithmetic and Set Theory.Vasil Penchev - 2020 - Information Theory and Research eJournal 1 (15):1-13.
    A practical viewpoint links reality, representation, and language to calculation by the concept of Turing (1936) machine being the mathematical model of our computers. After the Gödel incompleteness theorems (1931) or the insolvability of the so-called halting problem (Turing 1936; Church 1936) as to a classical machine of Turing, one of the simplest hypotheses is completeness to be suggested for two ones. That is consistent with the provability of completeness by means of two independent Peano arithmetics discussed in Section (...)
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  43. Quantum Computing since Democritus vol. 20.R. Netz - 2014 - Cambridge University Press.
    Predicting the binding mode of flexible polypeptides to proteins is an important task that falls outside the domain of applicability of most small molecule and protein-protein docking tools. Here, we test the small molecule flexible ligand docking program Glide on a set of 19 non-α-helical peptides and systematically improve pose prediction accuracy by enhancing Glide sampling for flexible polypeptides. In addition, scoring of the poses was improved by post-processing with physics-based implicit solvent MM- GBSA calculations. Using the best RMSD among (...)
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  44.  3
    Twenty-First Century Quantum Mechanics: Hilbert Space to Quantum Computers: Mathematical Methods and Conceptual Foundations.Guido Fano - 2017 - Cham: Imprint: Springer. Edited by S. M. Blinder.
    This book is designed to make accessible to nonspecialists the still evolving concepts of quantum mechanics and the terminology in which these are expressed. The opening chapters summarize elementary concepts of twentieth century quantum mechanics and describe the mathematical methods employed in the field, with clear explanation of, for example, Hilbert space, complex variables, complex vector spaces and Dirac notation, and the Heisenberg uncertainty principle. After detailed discussion of the Schrödinger equation, subsequent chapters focus on isotropic vectors, used (...)
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  45. G-Complexity, Quantum Computation and Anticipatory Processes.Mihai Nadin - 2014 - Computer Communication and Collaboration 2 (1):16-34.
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  46. Consciousness is Quantum Computed Beyond the Limits of the Brain: A Perspective Conceived from Cases Studied for Hydranencephaly.Contzen Pereira - unknown
    Hydranencephaly is a developmental malady, where the cerebral hemispheres of the brain are reduced partly or entirely too membranous sacs filled with cerebrospinal fluid. Infants with this malady are presumed to have reduced life expectancy with a survival of weeks to few years and which solely depends on care and fostering of these individuals. During their life span these individuals demonstrate behaviours that are termed “vegetative” by neuroscientists but can be comparable to the state of being “aware” or “conscious”. Based (...)
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  47. The Brain Is Both Neurocomputer and Quantum Computer.Stuart R. Hameroff - 2007 - Cognitive Science 31 (6):1035-1045.
    _Figure 1. Dendrites and cell bodies of schematic neurons connected by dendritic-dendritic gap junctions form a laterally connected input_ _layer (“dendritic web”) within a neurocomputational architecture. Dendritic web dynamics are temporally coupled to gamma synchrony_ _EEG, and correspond with integration phases of “integrate and fire” cycles. Axonal firings provide input to, and output from, integration_ _phases (only one input, and three output axons are shown). Cell bodies/soma contain nuclei shown as black circles; microtubule networks_ _pervade the cytoplasm. According to the (...)
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  48.  77
    Cell molecular quantum computer and principles of new science.E. A. Liberman & S. V. Minina - 1997 - World Futures 50 (1):583-590.
    It is proposed that the controlling system of the nerve cell is a molecular quantum device with an inner point of view. For the description of such a system it is necessary to create new science.
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  49. Decryption and Quantum Computing: Seven Qubits and Counting.John G. Cramer - unknown
    Alternate View Column AV-112 Keywords: quantum mechanics entangled states computer computing 7 qubits prime number factoring Schor algorithm NMR nuclear magnetic resonance fast parallel decryption coherence wave-function collapse many-worlds transactional interpretation Published in the June-2002 issue of Analog Science Fiction & Fact Magazine ; This column was written and submitted 12/19/2001 and is copyrighted ©2001 by John G. Cramer.
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  50. On the Physical Explanation for Quantum Computational Speedup.Michael Cuffaro - 2013 - Dissertation, The University of Western Ontario
    The aim of this dissertation is to clarify the debate over the explanation of quantum speedup and to submit, for the reader's consideration, a tentative resolution to it. In particular, I argue, in this dissertation, that the physical explanation for quantum speedup is precisely the fact that the phenomenon of quantum entanglement enables a quantum computer to fully exploit the representational capacity of Hilbert space. This is impossible for classical systems, joint states of which must always (...)
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