### 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.

Original language | English |
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Pages (from-to) | 61-68 |

Number of pages | 8 |

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

Volume | 782 |

DOIs | |

Publication status | Published - 2018 Jul 10 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Quantum measurement in two-dimensional conformal field theories : Application to quantum energy teleportation.** / Guo, Wu Zhong; Lin, Feng Li.

Research output: Contribution to journal › Article

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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

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.

UR - http://www.scopus.com/inward/record.url?scp=85046772519&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85046772519&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2018.05.007

DO - 10.1016/j.physletb.2018.05.007

M3 - Article

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 -