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Efficient code for relativistic quantum summoning

Wu, Ya-Dong and Khalid, Abdullah and Sanders, Barry C. (2018) Efficient code for relativistic quantum summoning. New Journal of Physics, 20 (6). Art. No. 063052. ISSN 1367-2630. http://resolver.caltech.edu/CaltechAUTHORS:20180629-103232818

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Abstract

Summoning retrieves quantum information, prepared somewhere in spacetime, at another specified point in spacetime, but this task is limited by the quantum no-cloning principle and the speed-of-light bound. We develop a thorough mathematical framework for summoning quantum information in a relativistic system and formulate a quantum summoning protocol for any valid configuration of causal diamonds in spacetime. For single-qubit summoning, we present a protocol based on a Calderbank–Shor–Steane code that decreases the space complexity for encoding by a factor of two compared to the previous best result and reduces the gate complexity from scaling as the cube to the square of the number of causal diamonds. Our protocol includes decoding whose gate complexity scales linearly with the number of causal diamonds. Our thorough framework for quantum summoning enables full specification of the protocol, including spatial and temporal implementation and costs, which enables quantum summoning to be a well posed protocol for relativistic quantum communication purposes.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/1367-2630/aaccaeDOIArticle
https://arxiv.org/abs/1711.10594arXivDiscussion Paper
ORCID:
AuthorORCID
Wu, Ya-Dong0000-0002-9940-6128
Khalid, Abdullah0000-0003-2641-022X
Sanders, Barry C.0000-0002-8326-8912
Additional Information:© 2018 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Received 4 April 2018; Accepted 14 June 2018; Accepted Manuscript online 14 June 2018; Published 29 June 2018. We thank Dominic Berry, Dong-Xiao Quan, Masoud Habibi Davijani, Yun-Jiang Wang and Wei-Wei Zhang for helpful discussions and acknowledge funding from Alberta Innovates, NSERC, China's 1000 Talent Plan, and the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant PHY-1125565) with support of the Gordon and Betty Moore Foundation (GBMF-2644).
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
China 1000 Talent PlanUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSFPHY-1125565
Gordon and Betty Moore FoundationGBMF-2644
Subject Keywords:quantum summoning, quantum error correction, spacetime
Record Number:CaltechAUTHORS:20180629-103232818
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180629-103232818
Official Citation:Ya-Dong Wu et al 2018 New J. Phys. 20 063052
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87469
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:29 Jun 2018 17:46
Last Modified:29 Jun 2018 17:46

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