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Advanced Intelligent Systems

Quantum Logic Gates Based on DNAtronics, RNAtronics, and Proteintronics

Sheh‐Yi Sheu, Hua-Yi Hsu, Dah‐Yen Yang

Published Jul 1, 2021• 0 citations
Publisher

Abstract

Sub-Nanoscaled Quantum ComputerIn article number 2000273, Sheh-Yi Sheu, Hua-Yi Hsu, and Dah-Yen Yang demonstrate that quantum computers are constructed by molecular transistors in the size of one nanometer, and DNA, RNA and protein residue pairs are used to make universal quantum logic gates. The double helix of the nucleic acid is a quantum computer. These results provide a new perspective in topological quantum computers.

DOI
10.1002/aisy.202170056

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Sub-Nanoscaled Quantum ComputerIn article number 2000273, Sheh-Yi Sheu, Hua-Yi Hsu, and Dah-Yen Yang demonstrate that quantum computers are constructed by molecular transistors in the size of one nanometer, and DNA, RNA and protein residue pairs are used to make universal quantum logic gates. The double helix of the nucleic acid is a quantum computer. These results provide a new perspective in topological quantum computers.
Quantum computers (QCs) adopt an n‐state quantum mechanical system to manipulate the superposition state. However, molecular transistors are not used to build up the quantum logic gate. Herein, it is demonstrated that DNA, RNA, and protein are promising media for QCs, and one uses residue pairs, including nucleotide base pairs and amino acid pairs, via proton‐coupled electron transfer to fabricate a quantum logic gate. In the residue pair, the proton transfer between donor and acceptor states fulfills a qubit. Both the DNA‐CG (3‐qubit) nucleobase pair and nucleotide base pair obey the Toffoli gate. AT (2‐qubit) nucleotide base pair behaves as a SWAP gate and a CNOT gate. Furthermore, the AU and RNA‐CG nucleotide base pairs follow the CNOT gate and Toffoli gate, respectively. In addition, a pair of amino acids achieves 1‐qubit and satisfies the Pauli‐X, ‐Y, and ‐Z gates. The generators of universal quantum logic gates are obtained.
In order to create two new computing processes that can be referred to as quantum molecular biology, these two computing systems can be combined. Quantum-DNA computing and DNA-quantum computing are also components of this quantum molecular biology. This chapter explains how DNA computing constructs the operations for multi-valued systems. The study of molecular biology is concerned with nucleic acids and proteins–macromolecules that are critical to biological processes–and how they interact and behave within cells. Quantum molecular biology is the field of study that investigates processes in living organisms that cannot be accurately described by the classical laws of physics. So, quantum molecular biology is a kind of computing technology which can be quantum-DNA computing or DNA-quantum computing. It also presents the ternary logic in the DNA computing system, that means establishing basic gates and fundamental operations in the ternary system.
Abstract Quantum Hamiltonian Computing is a recent approach that uses quantum systems, in particular a single molecule, to perform computational tasks. Within this approach, we present explicit methods to construct logic gates using two different designs, where the logical outputs are encoded either at fixed energy and spatial positioning of the quantum states, or at different energies. We use these results to construct quantum Boolean adders involving a minimal number of quantum states with the two designs. We also establish a matrix algebra giving an analogy between classical Boolean logic gates and quantum ones, and assess the possibilities of both designs for more complex gates.
We demonstrate that the logic computation performed by the DNA-based algorithm for solving general cases of the satisfiability problem can be implemented by our proposed quantum algorithm on the quantum machine proposed by Deutsch. Moreover, we also prove that the logic computation by the bio-molecular operations proposed by Adleman can be implemented by quantum gates (for example, the Hadamard gate, NOT, CNOT, and CCNOT) on the quantum machine. Furthermore, those NP-complete problems solved on a bio-molecular computer are also solvable on a quantum computer. To test our theory, we carry out a three-qubit NMR experiment for solving the simplest satisfiability problem.
Biomolecular residue pairs have been utilized in constructing quantum logic gates (QLGs), significantly reducing the hardware size to the subnanoscale level. However, the development of molecular fault-tolerant topological quantum computers (TQCs) presents challenges in error reduction and hardware size minimization. This study presents the manipulation of molecular QLGs (MQLGs) by utilizing protein residue pairs as molecular transistors, enabling the construction of molecular topological QLGs. This innovative approach leverages molecular functionality in quantum computer (QC) designs to build sub-nanometer transistors that significantly reduce size, enhance efficiency, and accelerate computing. The transmission spectra of electron transfer in molecular junction systems were analyzed using the non-equilibrium Green’s function method. The molecular field effect led to the observation of four quantum states on a two-dimensional potential energy surface with two degrees of freedom—proton translation and molecular rotation. These states form a quaternary QLG, similar to a 2-qubit controlled-NOT logic gate. By applying the Kitaev honeycomb lattice model, MQLGs were employed to generate nonabelian anyons that adhere to fusion rules, such as Ising and Fibonacci anyons. Furthermore, quantum circuits incorporating nonabelian anyons and their fusion processes were developed for practical applications. These findings underscore the shift away from conventional atom-based silicon technology and highlight the potential for innovative applications of molecular universal QLGs, particularly in the advancement of sub-nanometer molecular fault-tolerance TQCs.