Optimal Realization of Yang–Baxter Gate on Quantum Computers

Zhang, Kun; Yu, Kwangmin; Hao, Kun; Korepin, Vladimir

doi:10.1002/qute.202300345

Title: Optimal Realization of Yang–Baxter Gate on Quantum Computers

Journal Article · 05 February 2024 · Advanced Quantum Technologies

DOI: https://doi.org/10.1002/qute.202300345 · OSTI ID:2336574

^[1]; Yu, Kwangmin ^[2]; Hao, Kun ^[3]; Korepin, Vladimir ^[4]

Northwestern Univ., Xi'an, Shaanxi (China); Shaanxi Key Laboratory for Theoretical Physics Frontiers (China); Peng Huanwu Center for Fundamental Theory, Xi'an (China)
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Peng Huanwu Center for Fundamental Theory, Xi'an (China); Northwest University, Xi'an, Shaanxi (China)
Stony Brook Univ., NY (United States)

Quantum computers provide a promising method to study the dynamics of many-body systems beyond classical simulation. On the other hand, the analytical methods developed and results obtained from the integrable systems provide deep insights on the many-body system. Quantum simulation of the integrable system not only provides a valid benchmark for quantum computers but is also the first step in studying integrable-breaking systems. The building block for the simulation of an integrable system is the Yang–Baxter gate. It is vital to know how to optimally realize the Yang–Baxter gates on quantum computers. Based on the geometric picture of the Yang–Baxter gates, the optimal realizations of two types of Yang–Baxter gates with a minimal number of controlled NOT (CNOT) or gates are presented. It is also shown how to systematically realize the Yang–Baxter gates via the pulse control. The different realizations on IBM quantum computers are tested and compared. It is found that the pulse realizations of the Yang–Baxter gates always have a higher gate fidelity compared to the optimal CNOT or realizations. On the basis of the above optimal realizations, the simulation of the Yang–Baxter equation on quantum computers is demonstrated. Finally, these results provide a guideline and standard for further experimental studies based on the Yang–Baxter gate.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)

Grant/Contract Number:: SC0012704; AC05-00OR22725

OSTI ID:: 2336574

Report Number(s):: BNL--225480-2024-JAAM

Journal Information:: Advanced Quantum Technologies, Journal Name: Advanced Quantum Technologies Journal Issue: 4 Vol. 7; ISSN 2511-9044

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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