scholarly journals Quantum Computer: Quantum Model and Reality

2020 ◽  
Author(s):  
Vasil Dinev Penchev
Keyword(s):  
Quantum Mechanics ◽  
Turing Machine ◽  
Quantum Computer ◽  
Classical Model ◽  
Hidden Variables ◽  
Quantum Model ◽  
Computational Process ◽  
Intermediate Domain ◽  
And Mathematics ◽  
The Axiom Of Choice

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 quantum computer. The physical processes represent computations of the quantum computer. Quantum information is the real fundament of the world. The conception of quantum computer unifies physics and mathematics and thus the material and the ideal world. Quantum computer is a non-Turing machine in principle. Any quantum computing can be interpreted as an infinite classical computational process of a Turing machine. Quantum computer introduces the notion of “actually infinite computational process”. The discussed hypothesis is consistent with all quantum mechanics. The conclusions address a form of neo-Pythagoreanism: Unifying the mathematical and physical, quantum computer is situated in an intermediate domain of their mutual transformations.

scholarly journals A Quantum Computer in a “Chinese Room”

2020 ◽  
Author(s):  
Vasil Penchev
Keyword(s):  
Pattern Recognition ◽  
Quantum Computation ◽  
Turing Machine ◽  
Quantum Computer ◽  
Irrational Number ◽  
Computational Process ◽  
Chinese Room ◽  
Universal Pattern ◽  
Quantum Turing Machine

<div>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 would obtain quite different result depending on the degree of the entanglement of the quantum computer and observer. All extraordinary properties of a quantum computer are due to involving a converging infinite computational process contenting necessarily both a continuous advancing calculation and a leap to the limit. Three types of quantum computation can be distinguished according to whether the series is a finite one, an infinite rational or irrational number.</div>

scholarly journals Two strategies to infinity: completeness and incompleteness. The completeness of quantum mechanics

2020 ◽  
Author(s):  
Vasil Dinev Penchev
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Set Theory ◽  
Quantum Computer ◽  
Special Kind ◽  
Albert Einstein ◽  
Internal Position ◽  
Essential Properties ◽  
Completeness Of Quantum Mechanics ◽  
The Axiom Of Choice

Two strategies to infinity are equally relevant for it is as universal and thus complete as open and thus incomplete. Quantum mechanics is forced to introduce infinity implicitly by Hilbert space, on which is founded its formalism. One can demonstrate that essential properties of quantum information, entanglement, and quantum computer originate directly from infinity once it is involved in quantum mechanics. Thus, thеse phenomena can be elucidated as both complete and incomplete, after which choice is the border between them. A special kind of invariance to the axiom of choice shared by quantum mechanics is discussed to be involved that border between the completeness and incompleteness of infinity in a consistent way. The so-called paradox of Albert Einstein, Boris Podolsky, and Nathan Rosen is interpreted entirely in the same terms only of set theory. Quantum computer can demonstrate especially clearly the privilege of the internal position, or “observer”, or “user” to infinity implied by Henkin’s proposition as the only consistent ones as to infinity.

scholarly journals Natural Argument by a Quantum Computer

2020 ◽  
Author(s):  
Vasil Dinev Penchev
Keyword(s):  
Quantum Computation ◽  
Turing Machine ◽  
Quantum Computer ◽  
Irrational Number ◽  
Computational Process

Natural argument is represented as the limit, to which an infinite Turing processconverges. A Turing machine, in which the bits are substituted with qubits, is introduced. Thatquantum 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 sitedinside it. Being outside it, the observer would obtain quite different result depending on thedegree of the entanglement of the quantum computer and observer. All extraordinary propertiesof a quantum computer are due to involving a converging infinite computational process contentingnecessarily both a continuous advancing calculation and a leap to the limit. Three typesof quantum computation can be distinguished according to whether the series is a finite one, aninfinite rational or irrational number

scholarly journals A Quantum Computer in a “Chinese Room”

2020 ◽  
Author(s):  
Vasil Dinev Penchev
Keyword(s):  
Pattern Recognition ◽  
Turing Machine ◽  
Quantum Computer ◽  
Irrational Number ◽  
Computational Process ◽  
Chinese Room

Pattern recognition is represented as the limit, to which an infinite Turing processconverges. A Turing machine, in which the bits are substituted with qubits, is introduced. Thatquantum Turing machine can recognize two complementary patterns in any data. That ability ofuniversal pattern recognition is interpreted as an intellect featuring any quantum computer. Theproperty is valid only within a quantum computer: To utilize it, the observer should be sited insideit. Being outside it, the observer would obtain quite different result depending on the degreeof the entanglement of the quantum computer and observer. All extraordinary properties ofa quantum computer are due to involving a converging infinite computational process contentingnecessarily both a continuous advancing calculation and a leap to the limit. Three types ofquantum computation can be distinguished according to whether the series is a finite one, an infiniterational or irrational number.

scholarly journals Two strategies to finity: completeness and incompleteness. The completeness of quantum mechanics

2020 ◽  
Author(s):  
Vasil Dinev Penchev
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Set Theory ◽  
Quantum Computer ◽  
Special Kind ◽  
Albert Einstein ◽  
Internal Position ◽  
Essential Properties ◽  
Completeness Of Quantum Mechanics ◽  
The Axiom Of Choice

Two strategies to infinity are equally relevant for it is as universal and thus complete as open and thus incomplete. Quantum mechanics is forced to introduce infinity implicitly by Hilbert space, on which is founded its formalism. One can demonstrate that essential properties of quantum information, entanglement, and quantum computer originate directly from infinity once it is involved in quantum mechanics. Thus, thеse phenomena can be elucidated as both complete and incomplete, after which choice is the border between them. A special kind of invariance to the axiom of choice shared by quantum mechanics is discussed to be involved that border between the completeness and incompleteness of infinity in a consistent way. The so-called paradox of Albert Einstein, Boris Podolsky, and Nathan Rosen is interpreted entirely in the same terms only of set theory. Quantum computer can demonstrate especially clearly the privilege of the internal position, or “observer”, or “user” to infinity implied by Henkin’s proposition as the only consistent ones as to infinity.

scholarly journals A Quantum Computer in a “Chinese Room”

2020 ◽  
Author(s):  
Vasil Penchev
Keyword(s):  
Pattern Recognition ◽  
Quantum Computation ◽  
Turing Machine ◽  
Quantum Computer ◽  
Irrational Number ◽  
Computational Process ◽  
Chinese Room ◽  
Universal Pattern ◽  
Quantum Turing Machine

<div>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 would obtain quite different result depending on the degree of the entanglement of the quantum computer and observer. All extraordinary properties of a quantum computer are due to involving a converging infinite computational process contenting necessarily both a continuous advancing calculation and a leap to the limit. Three types of quantum computation can be distinguished according to whether the series is a finite one, an infinite rational or irrational number.</div>

scholarly journals Asset–liability modelling in the quantum era

2021 ◽  
Vol 26 ◽  
Author(s):  
T. Berry ◽  
J. Sharpe
Keyword(s):  
Quantum Mechanics ◽  
Quantum Computer ◽  
Quantum Algorithm ◽  
Capital Requirements ◽  
Quantum Computers ◽  
Investment Management ◽  
Asset Liability Management ◽  
Liability Management ◽  
Insight Into ◽  
Current Practices

Abstract This paper introduces and demonstrates the use of quantum computers for asset–liability management (ALM). A summary of historical and current practices in ALM used by actuaries is given showing how the challenges have previously been met. We give an insight into what ALM may be like in the immediate future demonstrating how quantum computers can be used for ALM. A quantum algorithm for optimising ALM calculations is presented and tested using a quantum computer. We conclude that the discovery of the strange world of quantum mechanics has the potential to create investment management efficiencies. This in turn may lead to lower capital requirements for shareholders and lower premiums and higher insured retirement incomes for policyholders.

Quantum mechanics, «First kind» states and local hidden variables: Three experimentally distinguishable situations

1978 ◽  
Vol 43 (1) ◽  
pp. 65-72 ◽  
Author(s):  
A. Baracca ◽  
A. Cornia ◽  
R. Livi ◽  
S. Ruffo
Keyword(s):  
Quantum Mechanics ◽  
Hidden Variables
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