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Title: Reliability of analog quantum simulation

Abstract

Analog quantum simulators (AQS) will likely be the first nontrivial application of quantum technology for predictive simulation. However, there remain questions regarding the degree of confidence that can be placed in the results of AQS since they do not naturally incorporate error correction. Specifically, how do we know whether an analog simulation of a quantum model will produce predictions that agree with the ideal model in the presence of inevitable imperfections? At the same time there is a widely held expectation that certain quantum simulation questions will be robust to errors and perturbations in the underlying hardware. Resolving these two points of view is a critical step in making the most of this promising technology. In this paper we formalize the notion of AQS reliability by determining sensitivity of AQS outputs to underlying parameters, and formulate conditions for robust simulation. Our approach naturally reveals the importance of model symmetries in dictating the robust properties. Finally, to demonstrate the approach, we characterize the robust features of a variety of quantum many-body models.

Authors:
 [1];  [2];  [2]
  1. Sandia National Lab. (SNL-CA), Livermore, CA (United States). Digital and Quantum Information Systems
  2. Shanghai Jiao Tong Univ. (China). Joint Inst. of UMich-SJTU. Key Lab. of System Control and Information Processing
Publication Date:
Research Org.:
Sandia National Lab. (SNL-CA), Livermore, CA (United States); Shanghai Jiao Tong Univ. (China)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); National Natural Science Foundation of China (NNSFC)
OSTI Identifier:
1337891
Alternate Identifier(s):
OSTI ID: 1340238
Report Number(s):
SAND2016-3320J
Journal ID: ISSN 2196-0763; PII: 54; TRN: US1701048
Grant/Contract Number:
AC04-94AL85000; 61673264; 61533012
Resource Type:
Journal Article: Published Article
Journal Name:
EPJ quantum technology
Additional Journal Information:
Journal Volume: 4; Journal ID: ISSN 2196-0763
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Sarovar, Mohan, Zhang, Jun, and Zeng, Lishan. Reliability of analog quantum simulation. United States: N. p., 2017. Web. doi:10.1140/epjqt/s40507-016-0054-4.
Sarovar, Mohan, Zhang, Jun, & Zeng, Lishan. Reliability of analog quantum simulation. United States. doi:10.1140/epjqt/s40507-016-0054-4.
Sarovar, Mohan, Zhang, Jun, and Zeng, Lishan. Tue . "Reliability of analog quantum simulation". United States. doi:10.1140/epjqt/s40507-016-0054-4.
@article{osti_1337891,
title = {Reliability of analog quantum simulation},
author = {Sarovar, Mohan and Zhang, Jun and Zeng, Lishan},
abstractNote = {Analog quantum simulators (AQS) will likely be the first nontrivial application of quantum technology for predictive simulation. However, there remain questions regarding the degree of confidence that can be placed in the results of AQS since they do not naturally incorporate error correction. Specifically, how do we know whether an analog simulation of a quantum model will produce predictions that agree with the ideal model in the presence of inevitable imperfections? At the same time there is a widely held expectation that certain quantum simulation questions will be robust to errors and perturbations in the underlying hardware. Resolving these two points of view is a critical step in making the most of this promising technology. In this paper we formalize the notion of AQS reliability by determining sensitivity of AQS outputs to underlying parameters, and formulate conditions for robust simulation. Our approach naturally reveals the importance of model symmetries in dictating the robust properties. Finally, to demonstrate the approach, we characterize the robust features of a variety of quantum many-body models.},
doi = {10.1140/epjqt/s40507-016-0054-4},
journal = {EPJ quantum technology},
number = ,
volume = 4,
place = {United States},
year = {Tue Jan 03 00:00:00 EST 2017},
month = {Tue Jan 03 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1140/epjqt/s40507-016-0054-4

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  • Analog quantum simulators (AQS) will likely be the first nontrivial application of quantum technology for predictive simulation. However, there remain questions regarding the degree of confidence that can be placed in the results of AQS since they do not naturally incorporate error correction. Specifically, how do we know whether an analog simulation of a quantum model will produce predictions that agree with the ideal model in the presence of inevitable imperfections? At the same time there is a widely held expectation that certain quantum simulation questions will be robust to errors and perturbations in the underlying hardware. Resolving these twomore » points of view is a critical step in making the most of this promising technology. In this paper we formalize the notion of AQS reliability by determining sensitivity of AQS outputs to underlying parameters, and formulate conditions for robust simulation. Our approach naturally reveals the importance of model symmetries in dictating the robust properties. Finally, to demonstrate the approach, we characterize the robust features of a variety of quantum many-body models.« less
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