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Отвъд машината на Тюринг: квантовият компютър

Vasil Penchev

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

Quantum computer is considered as a generalization of Turing machine. The bits are substituted by qubits. In turn, a "qubit" is the generalization of "bit" referring to infinite sets or series. It extends the consept of calculation from finite processes and algorithms to infinite ones, impossible as to any Turing machines (such as our computers). However, the concept of quantum computer mets all paradoxes of infinity such as Gödel's incompletness theorems (1931), etc. A philosophical reflection on how quantum computer might implement the idea of "infinite calculation" is the main subject.

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Quantum computer is considered as a generalization of Turing machine. The bits are substituted by qubits. In turn, a "qubit" is the generalization of "bit" referring to infinite sets or series. It extends the consept of calculation from finite processes and algorithms to infinite ones, impossible as to any Turing machines (such as our computers). However, the concept of quantum computer mets all paradoxes of infinity such as Gödel's incompletness theorems (1931), etc. A philosophical reflection on how quantum computer might implement the idea of "infinite calculation" is the main subject.
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.
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.
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.
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