中文版 | English
题名

Characterizing quantum simulations with quantum tomography on a spin quantum simulator

作者
通讯作者Lu,Dawei; Xin,Tao; Lu,Dawei; Xin,Tao
发表日期
2021-05-01
DOI
发表期刊
ISSN
2469-9926
EISSN
2469-9934
卷号103期号:5
摘要

Developments of quantum techniques have drastically improved the control ability of current quantum processors. Characterizing quantum simulations performed on these processors has become a vital topic in quantum information processing. Traditional characterizing techniques such as quantum process and state tomography fully characterize quantum simulations, but always with the exponentially increased resource cost, unfortunately. It may place their applications only in small-scale quantum systems. Meanwhile, many potential characterizing methods have been put forward in the past decades. In this work we experimentally test and compare different methods for characterizing quantum simulations of Ising Hamiltonians on the nuclear magnetic resonance (NMR) platform, including the recent quantum Hamiltonian tomography with polynomial complexity to estimate the generator of quantum simulations and nonrepetitive direct fidelity estimation with the Monte Carlo method to estimate the fidelity of dynamical states. We also experimentally estimate the parameters of Hamiltonian via full quantum process tomography and quantum state tomography for the comparison. These methods have merits and demerits in accuracy, the required resource, and prior knowledge. Our experiments test the performance of different methods while providing a beneficial reference for characterizing quantum simulations in the future.

相关链接[Scopus记录]
收录类别
SCI ; EI
语种
英语
学校署名
通讯
WOS记录号
WOS:000647124900003
EI入藏号
20212010355474
EI主题词
Hamiltonians ; Nuclear magnetic resonance ; Quantum chemistry ; Quantum optics ; Tomography
EI分类号
Light/Optics:741.1 ; Imaging Techniques:746 ; Physical Chemistry:801.4 ; Mathematical Statistics:922.2
ESI学科分类
PHYSICS
Scopus记录号
2-s2.0-85105650494
来源库
Scopus
引用统计
被引频次[WOS]:9
成果类型期刊论文
条目标识符http://sustech.caswiz.com/handle/2SGJ60CL/228451
专题理学院_物理系
量子科学与工程研究院
作者单位
1.State Key Laboratory of Low-Dimensional Quantum Physics,Department of Physics,Tsinghua University,Beijing,100084,China
2.Shenzhen Institute for Quantum Science and Engineering,Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
3.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen, Guangdong,518055,China
4.Frontier Science Center for Quantum Information,Beijing,100084,China
5.Beijing National Research Center for Information Science and Technology,Beijing,100084,China
6.Beijing Academy of Quantum Information Sciences,Beijing,100193,China
7.State Key Laboratory of Low-Dimensional Quantum Physics,Department of Physics,Tsinghua University,Beijing,100084,China
8.Shenzhen Institute for Quantum Science and Engineering,Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
9.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen, Guangdong,518055,China
10.Frontier Science Center for Quantum Information,Beijing,100084,China
11.Beijing National Research Center for Information Science and Technology,Beijing,100084,China
12.Beijing Academy of Quantum Information Sciences,Beijing,100193,China
13.State Key Laboratory of Low-Dimensional Quantum Physics,Department of Physics,Tsinghua University,Beijing,100084,China
14.Shenzhen Institute for Quantum Science and Engineering,Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
15.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen, Guangdong,518055,China
16.Frontier Science Center for Quantum Information,Beijing,100084,China
17.Beijing National Research Center for Information Science and Technology,Beijing,100084,China
18.Beijing Academy of Quantum Information Sciences,Beijing,100193,China
19.State Key Laboratory of Low-Dimensional Quantum Physics,Department of Physics,Tsinghua University,Beijing,100084,China
20.Shenzhen Institute for Quantum Science and Engineering,Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
21.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen, Guangdong,518055,China
22.Frontier Science Center for Quantum Information,Beijing,100084,China
23.Beijing National Research Center for Information Science and Technology,Beijing,100084,China
24.Beijing Academy of Quantum Information Sciences,Beijing,100193,China
第一作者单位物理系;  量子科学与工程研究院
通讯作者单位物理系;  量子科学与工程研究院
推荐引用方式
GB/T 7714
Zhao,Dafa,Wei,Chao,Xue,Shunzhong,et al. Characterizing quantum simulations with quantum tomography on a spin quantum simulator[J]. Physical Review A,2021,103(5).
APA
Zhao,Dafa.,Wei,Chao.,Xue,Shunzhong.,Huang,Yulei.,Nie,Xinfang.,...&Long,Guilu.(2021).Characterizing quantum simulations with quantum tomography on a spin quantum simulator.Physical Review A,103(5).
MLA
Zhao,Dafa,et al."Characterizing quantum simulations with quantum tomography on a spin quantum simulator".Physical Review A 103.5(2021).
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