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...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2018-07-01
|
Series: | Physics Letters B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S037026931830371X |
_version_ | 1819181669734678528 |
---|---|
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. |
first_indexed | 2024-12-22T22:33:55Z |
format | Article |
id | doaj.art-50e4caa3bc914656a70d8a61cec7490c |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-12-22T22:33:55Z |
publishDate | 2018-07-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
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 |
work_keys_str_mv | AT wuzhongguo quantummeasurementintwodimensionalconformalfieldtheoriesapplicationtoquantumenergyteleportation AT fenglilin quantummeasurementintwodimensionalconformalfieldtheoriesapplicationtoquantumenergyteleportation |