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arXiv 2021年

作者： Nakata, Yoshifumi Zhao, Da Okuda, Takayuki Bannai, Eiichi Suzuki, Yasunari Tamiya, Shiro Heya, Kentaro Yan, Zhiguang Zuo, Kun Tamate, Shuhei Tabuchi, Yutaka Nakamura, Yasunobu Photon Science Center Graduate School of Engineering University of Tokyo Bunkyo-ku Tokyo113–8656 Japan JST PRESTO 4–1–8 Honcho Kawaguchi Saitama332–0012 Japan School of Mathematical Sciences Shanghai Jiao Tong University Shanghai400240 China Department of Mathematics Hiroshima University 1-3-1 Kagamiyama Higashihiroshima739-8562 Japan Fukuoka819-0385 Japan Mathematics Division National Center for Theoretical Sciences National Taiwan University Taipei10617 Taiwan NTT Computer and Data Science Laboratories NTT Corporation Musashino180-8585 Japan Department of Applied Physics Graduate School of Engineering University of Tokyo 7-3-1 Hongo Bynkyo-ku Tokyo113-8656 Japan University of Tokyo Meguro-ku Tokyo153-8904 Japan Wako Saitama351-0198 Japan

A unitary t-design is a powerful tool in quantum information science and fundamental physics. Despite its usefulness, only approximate implementations were known for general t. In this paper, we provide for the first time quantum circuits that generate exact unitary t-designs for any t on an arbitrary number of qubits. Our construction is inductive and is of practical use in small systems. We then introduce a t-th order generalization of randomized benchmarking (t-RB) as an application of exact 2t-designs. We particularly study the 2-RB in detail and show that it reveals self-adjointness of quantum noise, a new metric related to the feasibility of quantum error correction (QEC). We numerically demonstrate that the 2-RB in one- and two-qubit systems is feasible, and experimentally characterize background noise of a superconducting qubit by the 2-RB. It is shown from the experiment that interactions with adjacent qubits induce the noise that may result in an obstacle toward a realization of QEC. © 2021, CC BY.

关键词： Benchmarking

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Qulacs: A fast and versatile quantum circuit simulator for research purpose

arXiv

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arXiv 2020年

作者： Suzuki, Yasunari Kawase, Yoshiaki Masumura, Yuya Hiraga, Yuria Nakadai, Masahiro Chen, Jiabao Nakanishi, Ken M. Mitarai, Kosuke Imai, Ryosuke Tamiya, Shiro Yamamoto, Takahiro Yan, Tennin Kawakubo, Toru Nakagawa, Yuya O. Ibe, Yohei Zhang, Youyuan Yamashita, Hirotsugu Yoshimura, Hikaru Hayashi, Akihiro Fujii, Keisuke NTT Computer and Data Science Laboratories NTT Corporation Musashino180-8585 Japan JST PRESTO Saitama Kawaguchi332-0012 Japan Graduate School of Engineering Science Osaka University 1-3 Machikaneyama Osaka Toyonaka560-8531 Japan Graduate School of Information Science and Technology Osaka University 1-1 Yamadaoka Osaka Suita565-0871 Japan Graduate School of Information and Science Nara Institute of Science and Technology Ikoma Nara Takayama630-0192 Japan Graduate School of Science Kyoto University Yoshida-Ushinomiya Sakyo Kyoto606-8302 Japan QunaSys Inc. Aqua Hakusan Building 9F 1-13-7 Hakusan Bunkyo Tokyo113-0001 Japan Graduate School of Science The University of Tokyo 7-3-1 Hongo Bunkyo-ku Tokyo113-0033 Japan Center for Quantum Information and Quantum Biology Institute for Open and Transdisciplinary Research Initiatives Osaka University Japan Graduate School of Engineering The University of Tokyo 7-3-1 Hongo Bunkyo-ku Tokyo113-0033 Japan School of Computer Science Georgia Institute of Technology AtlantaGA30332 United States Center for Emergent Matter Science RIKEN Saitama Wako351-0198 Japan

To explore the possibilities of a near-term intermediate-scale quantum algorithm and long-term fault-tolerant quantum computing, a fast and versatile quantum circuit simulator is needed. Here, we introduce Qulacs, a fast simulator for quantum circuits intended for research purpose. We show the main concepts of Qulacs, explain how to use its features via examples, describe numerical techniques to speed-up simulation, and demonstrate its performance with numerical benchmarks. © 2020, CC BY.

关键词： Timing circuits

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Subspace Variational Quantum Simulator

arXiv

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arXiv 2019年

作者： Heya, Kentaro Nakanishi, Ken M. Mitarai, Kosuke Yan, Zhiguang Zuo, Kun Suzuki, Yasunari Sugiyama, Takanori Tamate, Shuhei Tabuchi, Yutaka Fujii, Keisuke Nakamura, Yasunobu The University of Tokyo Meguro-ku Tokyo153-8904 Japan Institute for Physics of Intelligence The University of Tokyo Tokyo113-0033 Japan Graduate School of Engineering Science Osaka University 1-3 Machikaneyama Osaka Toyonaka560-8531 Japan Center for Quantum Information and Quantum Biology Osaka University Japan JST PRESTO 4-1-8 Honcho Saitama Kawaguchi332-0012 Japan Saitama Wako351-0198 Japan NTT Computer and Data Science Laboratories NTT Corporation Musashino180-8585 Japan

Quantum simulation is one of the key applications of quantum computing, which accelerates research and development in the fields such as chemistry and material science. The recent development of noisy intermediate-scale quantum (NISQ) devices urges the exploration of applications without the necessity of quantum error correction. In this paper, we propose an efficient method to simulate quantum dynamics driven by a static Hamiltonian on NISQ devices, named subspace variational quantum simulator (SVQS). SVQS employs the subspace-search variational quantum eigensolver (SSVQE) [1] to find a low-lying eigensubspace and extends it to simulate dynamics within the subspace with lower overhead compared to the existing schemes. We experimentally simulate the time-evolution operator in a low-lying eigensubspace of a hydrogen molecule. We also define the subspace process fidelity as a measure between two quantum processes in a subspace. The subspace time evolution mimicked by SVQS shows the subspace process fidelity of 0.88–0.98. Copyright © 2019, The Authors. All rights reserved.

关键词： Quantum chemistry

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