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Possibility to Realize an Accelerated Turing Machine

Takaaki Musha

Published Apr 30, 2019• 0 citations
OpenAlex

Abstract

On the basis of a theorem, in which an evanescent photon is a superluminal particle, the author considers the possibility of realizing a high performance computer system compared with conventional silicon processors. To realize such a quantum computer utilizing evanescent photons, we must replace electronic components with optical ones, and thus an equivalent optical transistor is required. This critical component for quantum computing can be created using meta-material circuits with a non-linear refractive index. Based on this optical computer system, utilizing meta-material technology, it can be shown that superluminal computation, which is a new concept for an accelerated Turing machine, can be realized in the physical world.

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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Apr 24, 1992•0 citations
On the basis of a theorem, in which an evanescent photon is a superluminal particle, the author considers the possibility of realizing a high performance computer system compared with conventional silicon processors. To realize such a quantum computer utilizing evanescent photons, we must replace electronic components with optical ones, and thus an equivalent optical transistor is required. This critical component for quantum computing can be created using meta-material circuits with a non-linear refractive index. Based on this optical computer system, utilizing meta-material technology, it can be shown that superluminal computation, which is a new concept for an accelerated Turing machine, can be realized in the physical world.
On the basis of a theorem, in which an evanescent photon is a superluminal particle, the author considers the possibility of realizing a high performance computer system compared with conventional silicon processors. To realize such a quantum computer utilizing evanescent photons, we must replace electronic components with optical ones, and thus an equivalent optical transistor is required. This critical component for quantum computing can be created using meta-material circuits with a non-linear refractive index. Based on this optical computer system, utilizing metamaterial technology, it can be shown that superluminal computation, which is a new concept for hypercomputation, can be realized in the physical world.
The realization of an hypercomputer system, namely an accelerated Turing machine able to perform a countable infinite number of computational steps within a finite time, is generally considered as forbidden by Heisenberg's uncertainty principle, due to the exponentially increasing energy required by computational steps. This limitation would not affect just conventional computation but also quantum algorithms. In this paper we shown it could be possible to overcome this “barrier” by considering a quantum system based on evanescent photons produced inside optical components made of metamaterials. This proposal opens very interesting perspectives towards the realization of quantum optical supercomputer systems based on this new kind of technology in particular with respect to its potential applications in the field of Artificial Intelligence where computational power can be considered as a primary goal.
It is widely believed that microprocessor performance will fail to hold in the next decade owing to the brick wall arising from the fundamental physical limitations of the computational process. Instead of conventional processors, the quantum processor is considered to have the possibility to overcome these limitations. However, the influence of the energy cost due to the uncertainty principle, which may prevent speeding up the quantum computation, was not considered. On the basis of the theorem that the evanescent photon is a superluminal particle, the possibility of a high performance computer system compared with conventional silicon processors has been studied. From the theoretical analysis, it is shown that computational energy loss, which utilises tunnelling photons, is much lower than in conventional silicon processors.
Abstract Nowadays quantum computation is probably considered as the most promising way to achieve superfast calculation performances to be implemented in the next generation of hyper-computers. Nevertheless, the realization of an hypercomputer, namely a system able to perform countable infinite computational steps within a finite time, is usually considered not allowed due to the Heisenberg uncertainty principle that limits the energy required by such steps. This limitation affects quantum algorithms as well as conventional computation. In this paper we show it is possible to bypass such limitation by considering a quantum system making use of evanescent photons produced by some physical processes such, for example, that occurring inside optical components made of metamaterials. This proposal opens very interesting prospects towards a deeper understanding of quantum information and computation as well as to the realization of an actual hypercomputer system and its applications to frontier fields such as Artificial Intelligence.
Until recently, the paradigm of computing was the Turing machine and its numerous equivalents. All operations are made with state machines. Each operation is irreversible and brings about an increase of entropy and, therefore, an expenditure of energy of at least kTln2 per bit. We show that optics allows the first practical quantum mechanical digital processors. These processors require digital input and produce digital output but need no intermediate state machines. We show that, in the sense of not requiring material devices which would otherwise be required, nothing is superior to something for computing.