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

Creators: Guo, Wu-Zhong; Lin, Feng-Li

Abstract

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.

Additional Information

© 2018 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3. Received 22 April 2018, Accepted 4 May 2018, Available online 17 May 2018. We thank B. Czech for inspiring discussions on the initiation of this work. We are appreciated for J. W. Chen, C. S. Chu, D. Giataganas, M. Hotta and J. j. Zhang for helpful discussions. FLL is supported by Ministry of Science and Technology, Taiwan through Grant No. 103-2112-M-003-001-MY3, No. 106-2112-M-003-004-MY3 and No. 103-2811-M-003-024. He would also like to thank TAPIR and IQIM of Caltech for host his on leave from NTNU, during which part of this work is finished.

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