International Association of Advanced Materials
Advanced Materials Letters
0976-3961
10
9
2019
09
01
Brief Review: Simulation of Novel Systems Using Duality Quantum Algorithm
611
613
13896
10.5185/amlett.2019.9908
EN
Chao
Zheng
Department of Physics, College of Science, North China University of Technology, No. 5 Jinyuanzhuang Road,
Beijing, 100144, China
Journal Article
1970
01
01
In this article, we review the recent works of quantum simulation of novel systems briefly, the parity-time-reversal-symmetric (PT-symmetric) quantum system and the Yang-Baxter-equation (YBE) system, using duality quantum algorithm. Duality quantum algorithm studies the linear combinations of unitary operators, making it possible to simulate non-unitary evolutions of novel quantum systems. A PT-symmetric quantum system is a typical non-Hermitian system of which the evolution is not unitary and cannot be simulated directly by a conventional quantum computer. A recent work by C. Zheng has established a theory to simulate a general PT-symmetric two level system by duality quantum computing. The other typical example is the YBE quantum systems, of which the evolutions can be both unitary and non-unitary. C. Zheng and S. J. Wei described a theory that the two hand sides of the YBE can be simulated efficiently by the duality quantum algorithm in their recent research. Perspectives of future applications are expected at last. Copyright © VBRI Press.
https://aml.iaamonline.org/article_13896_166dcda6febbd17bde53971c1744c545.pdf