Research of the irreversible logic operation accomplished by the quantum reversible logic circuits

Abstract

Abstract:

The logical relationship can be described with the Boolean functions. The quantum Boolean function are introduced and defined because quantum logic relationship is reversible. The irreversible logic operations are accomplished in the quantum reversible logic circuits by introducing auxiliary qubits and adding the output signal of quantum bits to distinguish the different bit. Then the irreversible logical gate can be realized in quantum circuits. Also we give the optimized quantum circuit about the irreversible logical gate which can be realized.

Key words: irreversible quantum logical gate, quantum circuit, logical function, quantum logical function, redundancy qubits

LV Hong-Jun, PENG Fei, WU Tian-Hao, XIE Guang-Jun. Research of the irreversible logic operation accomplished by the quantum reversible logic circuits[J]. J4, 2009, 26(6): 668-674.

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[7]	SHEN Mingyan1, CHENG Xueyun1,2, GUAN Zhijin1*, CHEN Jiaqing1, HE Xianya1. A Realization Method of Two-Dimensional Nearest Neighbor for Quantum Circuit [J]. Chinese Journal of Quantum Electronics, 2019, 36(4): 476-482.
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[11]	Wu Junqin, Lin Huiying. Scheme of N-qubit secret sharing based on four-particle cluster state [J]. J4, 2015, 32(4): 472-477.
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[13]	LI Zhi-qiang, FENG Xiao-xia, CHEN Han-wu. Design of Barrel Shifters Based on Quantum Reversible Logic [J]. J4, 2014, 31(6): 720-727.
[14]	LV Hong-Jun, YUE Liang, HAN Liang-Shun, XIE Guang-Jun. Quantum reversible logic circuits synthesis based on genetic algorithm [J]. J4, 2011, 28(5): 596-604.
[15]	LV Hong-jun, DU Kan-kan ,GO Dan, XIE Guang-jun. Design and optimization of quantum error-correction circuit with module [J]. J4, 2010, 27(6): 700-704.

Research of the irreversible logic operation accomplished by the quantum reversible logic circuits

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