TY - JOUR

T1 - Quantum measurement in two-dimensional conformal field theories

T2 - Application to quantum energy teleportation

AU - Guo, Wu Zhong

AU - Lin, Feng Li

N1 - Funding Information:
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.
Funding Information:
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.
Publisher Copyright:
© 2018 The Authors

PY - 2018/7/10

Y1 - 2018/7/10

N2 - 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.

AB - 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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U2 - 10.1016/j.physletb.2018.05.007

DO - 10.1016/j.physletb.2018.05.007

M3 - Article

AN - SCOPUS:85046772519

VL - 782

SP - 61

EP - 68

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -