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A Quantum Computer in a “Chinese Room”

Vasil Dinev Penchev

Published May 4, 2020• 0 citations
Publisher

Abstract

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.

DOI
10.31235/osf.io/5p68t

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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.
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.
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
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.
Quantum computing allows us to solve some problems much faster than existing classical algorithms. Yet, the quantum computer has been believed to be no more powerful than the most general computing model—the Turing machine. Undecidable problems, such as the halting problem, and unrecognizable inputs, such as the real numbers, are beyond the theoretical limit of the Turing machine. I suggest a model for a quantum computer, which is less general than the Turing machine, but may solve the halting problem for any task programmable on it. Moreover, inputs unrecognizable by the Turing machine can be recognized by the model, thus breaking the theoretical limit for a computational task. A quantum computer is not just a successful design of the Turing machine as it is widely perceived now, but is a different, less general but more powerful model for computing, the practical realization of which may need different strategies than those in use now.
Computation is a process of performing a large number of simple operations. The main building blocks of classical computers are bits. Each of them can take either the value 0 or 1. A series of gates can change these values by acting on them selectively. This process is structured to fulfil a purpose. For example, if we are interested in adding two numbers, the numbers are encoded into bits and gates are performed such that the final state of the bits reveals the desired answer: a number which is the sum of the initial ones. While it is possible to build algorithms that can perform almost any computation, it is also desirable to find the answer within a reasonable length of time or with a reasonable amount of resources. There is an ever-growing demand in computational power for both scientific and commercial purposes. Indeed, it is surprisingly easy to find an application that can jam even the fastest computer. This fuels a vast effort in the research of information science to increase the speed and processing power of computers. Modern computational models are based on the universal Turing machine (Turing, 1937). This is a theoretical information processing model that employs the elementary gate processes described above. It can efficiently simulate any other device capable of performing an algorithmic process. Since the introduction of the Turing machine, physics has influenced computation in many ways.