Quantum measurement in two-dimensional conformal field theories: Application to quantum energy teleportation

We construct a set of quasi-local measurement operators in 2D CFT, and then use them to proceed the quantum energy teleportation (QET) protocol and show it is viable. These measurement operators are constructed out of the projectors constructed from shadow operators, but further acting on the produc...

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Main Authors: Wu-Zhong Guo, Feng-Li Lin
Format: Article
Language:English
Published: Elsevier 2018-07-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026931830371X
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author Wu-Zhong Guo
Feng-Li Lin
author_facet Wu-Zhong Guo
Feng-Li Lin
author_sort Wu-Zhong Guo
collection DOAJ
description We construct a set of quasi-local measurement operators in 2D CFT, and then use them to proceed the quantum energy teleportation (QET) protocol and show it is viable. These measurement operators are constructed out of the projectors constructed from shadow operators, but further acting on the product of two spatially separated primary fields. They are equivalently the OPE blocks in the large central charge limit up to some UV-cutoff dependent normalization but the associated probabilities of outcomes are UV-cutoff independent. We then adopt these quantum measurement operators to show that the QET protocol is viable in general. We also check the CHSH inequality a la OPE blocks.
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spelling doaj.art-50e4caa3bc914656a70d8a61cec7490c2022-12-21T18:10:22ZengElsevierPhysics Letters B0370-26932018-07-017826168Quantum measurement in two-dimensional conformal field theories: Application to quantum energy teleportationWu-Zhong Guo0Feng-Li Lin1Physics Division, National Center for Theoretical Sciences, National Tsing-Hua University, Hsinchu 30013, TaiwanDepartment of Physics, National Taiwan Normal University, Taipei, 116, Taiwan; Department of Physics, California Institute of Technology, Pasadena, CA 91125, USA; Corresponding author.We construct a set of quasi-local measurement operators in 2D CFT, and then use them to proceed the quantum energy teleportation (QET) protocol and show it is viable. These measurement operators are constructed out of the projectors constructed from shadow operators, but further acting on the product of two spatially separated primary fields. They are equivalently the OPE blocks in the large central charge limit up to some UV-cutoff dependent normalization but the associated probabilities of outcomes are UV-cutoff independent. We then adopt these quantum measurement operators to show that the QET protocol is viable in general. We also check the CHSH inequality a la OPE blocks.http://www.sciencedirect.com/science/article/pii/S037026931830371X
spellingShingle Wu-Zhong Guo
Feng-Li Lin
Quantum measurement in two-dimensional conformal field theories: Application to quantum energy teleportation
Physics Letters B
title Quantum measurement in two-dimensional conformal field theories: Application to quantum energy teleportation
title_full Quantum measurement in two-dimensional conformal field theories: Application to quantum energy teleportation
title_fullStr Quantum measurement in two-dimensional conformal field theories: Application to quantum energy teleportation
title_full_unstemmed Quantum measurement in two-dimensional conformal field theories: Application to quantum energy teleportation
title_short Quantum measurement in two-dimensional conformal field theories: Application to quantum energy teleportation
title_sort quantum measurement in two dimensional conformal field theories application to quantum energy teleportation
url http://www.sciencedirect.com/science/article/pii/S037026931830371X
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AT fenglilin quantummeasurementintwodimensionalconformalfieldtheoriesapplicationtoquantumenergyteleportation