Macro-Quantum Synthesis

Marek A. Perkowski, Martin Lukáč, Paweł Kerntopf +7 more

A new approach to synthesis of quantum logic circuits has been presented in this paper. This approach produces better results than the previous approaches based on classical reversible logic and can be easier tuned to any particular quantum technology such as nuclear magnetic resonance (NMR). The approach is based on the following principles: (1) design of (complex) gates using approach that links evolutionary, combinatorial and human interaction approaches, (2) design of circuits with these gates using evolutionary and search methods, (3) macro-generation of complex gates to lower level quantum primitives, (4) applying technology-related optimizing tautological transforms that take realistic quantum layout constraints, (5) calculating realistic costs related to quantum realization, (6) synthesis of incompletely specified functions. 1.

В. Б. Алесковский

V A Etkin

O. М. Kholod

The article considers the tendencies of three principles of quantum mechanics for the micro world (uncertainty principle, additionality or complementarity principle and superposition or superposition principle) as having similarities with the tendencies of analysis of processes occurring in the macro world. The hypothesis is proved during the analysis of the fairy tale “Painted Fox” by Ivan Franko. The aim of the research was to identify, search for and describe the psychological and physical transformations of Fox Mykyta in Ivan Franko’s fairy tale as an explication of the tendencies of the functionality of the principles of quantum mechanics in the macro world. Among the research methods were chosen methods of analysis, synthesis, content analysis on the units of “image” and “theme”. We have chosen the following procedure as the research method: search for publications related to the problem analyzed by us; implementation of content analysis by unit “image” and “theme”; classification of identified fragments of the text of the fairy tale “Painted Fox” according to three criteria: “Compliance with the principle of uncertainty”, “Compliance with the principle of complementarity” and “Compliance with the principle of superposition”. Based on the analysis, it was concluded that the trends reflected in the three principles of quantum mechanics for studying the processes of the micro world (uncertainty, principle of additionality or complementarity and the principle of superposition or superposition) are clearly fixed in macro world processes.

Dong-Young Park, Yeon-Man Jeong

최근에 양자회로 합성과 관련한 대부분의 방법들은 컴퓨터 시뮬레이션에 적합한 서술적 표현 구조를 채택하고 있어 합성된 양자함수들에 대한 분석이 어렵다. 본 논문에서는 구조가 단순하고 직관적 사고가 가능한 양자회로의 새로운 함수표현법을 제안한다. 본 논문 제안사항은 타깃라인상의 유니터리 연산자들의 직렬 적 행렬연산을 멱함수의 산술연산과 modulo 2 연산이란 수학적 치환을 통해 유니터리 연산자의 제어입력을 자신의 멱함수로 합성하는 새로운 함수합성에 있다. 본 논문의 함수합성 알고리듬은 의사-제어된 NCV-양자게이트를 이용한 가역 및 비가역 양자회로들의 함수표현과 새로운 함수합성에 유용하다. Recently most of functional synthesis methods for quantum circuit realization have a tendency to adopt the declarative functional expression more suitable for computer algorithms, so it's difficult to analysis synthesized quantum functions. This paper presents a new functional representation of quantum circuits compatible with simple architecture and intuitive thinking. The proposal of this paper is a new functional synthesis development by using the control functions as the power of corresponding to affine-controlled quantum gates based on the mathematical substitution of serial-product matrix operation over the target line for the arithmetic and modulo-2 ones between power functions of unitary operators. The functional synthesis algorithm proposed in this paper is useful for the functional expressions and synthesis using both of reversible and irreversible affine-controlled NCV-quantum gates.