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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

A theoretical model of multi-agent quantum computing

F. Matthew Mihelic

Published May 13, 2011• 1 citation

Abstract

The best design for practical quantum computing is one that emulates the multi-agent quantum logic function of natural biological systems. Such systems are theorized to be based upon a quantum gate formed by a nucleic acid Szilard engine (NASE) that converts Shannon entropy of encountered molecules into useful work of nucleic acid geometric reconfiguration. This theoretical mechanism is logically and thermodynamically reversible in this special case because it is literally constructed out of the (nucleic acid) information necessary for its function, thereby allowing the nucleic acid Szilard engine to function reversibly because, since the information by which it functions exists on both sides of the theoretical mechanism simultaneously, there would be no build-up of information within the theoretical mechanism, and therefore no irreversible thermodynamic energy cost would be necessary to erase information inside the mechanism. This symmetry breaking Szilard engine function is associated with emission and/or absorption of entangled photons that can provide quantum synchronization of other nucleic acid segments within and between cells. In this manner nucleic acids can be considered as a natural model of topological quantum computing in which the nonabelian interaction of genes can be represented within quantum knot/braid theory as anyon crosses determined by entropic loss or gain that leads to changes in nucleic acid covalent bond angles. This naturally occurring biological form of topological quantum computing can serve as a model for workable man-made multi-agent quantum computing systems.

DOI: 10.1117/12.883894

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The best design for practical quantum computing is one that emulates the multi-agent quantum logic function of natural biological systems. Such systems are theorized to be based upon a quantum gate formed by a nucleic acid Szilard engine (NASE) that converts Shannon entropy of encountered molecules into useful work of nucleic acid geometric reconfiguration. This theoretical mechanism is logically and thermodynamically reversible in this special case because it is literally constructed out of the (nucleic acid) information necessary for its function, thereby allowing the nucleic acid Szilard engine to function reversibly because, since the information by which it functions exists on both sides of the theoretical mechanism simultaneously, there would be no build-up of information within the theoretical mechanism, and therefore no irreversible thermodynamic energy cost would be necessary to erase information inside the mechanism. This symmetry breaking Szilard engine function is associated with emission and/or absorption of entangled photons that can provide quantum synchronization of other nucleic acid segments within and between cells. In this manner nucleic acids can be considered as a natural model of topological quantum computing in which the nonabelian interaction of genes can be represented within quantum knot/braid theory as anyon crosses determined by entropic loss or gain that leads to changes in nucleic acid covalent bond angles. This naturally occurring biological form of topological quantum computing can serve as a model for workable man-made multi-agent quantum computing systems.

A quantum gate is a logically and thermodynamically reversible situation that effects a unitary transformation of qubits of superimposed information, and essentially constitutes a situation for a reversible quantum decision. A quantum decision is a symmetry break, and the effect of the function of a Szilard engine is a symmetry break. A quantum gate is a situation in which a reversible quantum decision can be made, and so if a logically and thermodynamically reversible Szilard engine can be theoretically constructed then it would function as a quantum gate. While the traditionally theorized Szilard engine is not thermodynamically reversible, if one of the bounding walls of a Szilard engine were to be constructed out of the physical information by which it functions in such a manner as to make that information available to both sides of the wall simultaneously, then such a Szilard engine would be both logically and thermodynamically reversible, and thus capable of function as a quantum gate. A theoretical model of the special case of a reversible Szilard engine functioning as a quantum gate is presented and discussed, and since a quantum decision is made when the shutter of a Szilard engine closes, the coherence of linked reversible Szilard engines should be considered as a state during which all of the shutters of linked Szilard engines are open simultaneously.

The limits to miniaturization of electronic devices are reached with sizes where quantum mechanics rules over the dynamics of the system. Because of this, enormous efforts are being made in search of new technologies to store and process information that can efficiently replace classic electronics. The proposal for quantum systems for carrying out computation represents an attempt to create a new generation of information processors (Nielsen & Chuang, 2003). The major advantage of quantum computation is that it can resolve numeric problems that cannot be resolved by classical computation. However, there remains the unresolved problem of the coherence of the proposed systems. Some significant advances have been made in addressing these problems using dislocated qubits with global control protocols (Fitzsimons et al., 2007), with small molecular systems. On the other hand, a completely different solution to quantum computation has been attempted using cellular automata architecture to develop classical computational processes with quantum entities. Important advances have been made with automata based on quantum dot arrays (QCA), the idea for which was proposed by C. Lent and collaborators (Lent et al., 1993). The original idea was introduced as a system of quantum corrals with

Quantum entanglement, a perplexing phenomenon where two or more particles become linked in such a way that they share the same fate, presents a tantalizing prospect for advanced computation. This paper explores the potential of utilizing quantum entanglement to construct a logical computation model, leveraging its unique properties for parallel processing and complex operations. We propose a novel quantum algorithm predicated on this model, aiming to revolutionize traditional computational approaches. The core of this work lies in a detailed architectural design of the entanglement-based logic engine, outlining the fundamental operations and potential applications. The study critically examines the theoretical implications of this approach, focusing on the advantages over existing quantum computing paradigms. We propose a new approach to quantum algorithm development based on entanglement as the foundation.

Molecular biology is the field of science concerned with studying the chemical structures and processes of biological phenomena that involve the basic units of life and molecules. The field of molecular biology is focused especially on nucleic acids and proteins, these molecules interact and behave within cells. Molecular biology emerged in the 1930s. When quantum computing combines with this DNA computing to form a new computing process, it is quantum molecular biology. This chapter discusses another form of quantum molecular biology with multi-valued logic. It describes multi-valued arithmetic circuits in DNA-quantum circuits. The system was divided into four parts. The first part contained the DNA system, then a DNA cache memory where the DNA sequences were stored, then the data conversion unit to convert the DNA information into qubits, and the last part was the quantum system.

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