### Abstract

We propose a simplified protocol of quantum energy teleportation (QET) for the holographic conformal field theory in three-dimensional anti-de Sitter space with or without a black hole. As a tentative proposal, we simplify the standard QET by replacing Alice's local measurement with the local projection, which excites the system from the ground state into a particular state dual to a Banados geometry. We then mimic Bob's local operation of the usual QET for extracting energy by deforming the UV surface with a local bump. Adopting the surface-state duality, this deformation corresponds to local unitary. We evaluate the extraction of energy from the holographic stress tensor and find that Bob always gains energy extraction in our protocol. This could be related to the positive energy theorem of the dual gravity. Moreover, the ratio of extraction energy to the injection one is a universal function of the UV surface deformation profile.

Original language | English |
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Article number | 126013 |

Journal | Physical Review D |

Volume | 94 |

Issue number | 12 |

DOIs | |

Publication status | Published - 2016 Dec 23 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*94*(12), [126013]. https://doi.org/10.1103/PhysRevD.94.126013

**Towards holographic quantum energy teleportation.** / Giataganas, Dimitrios; Lin, Feng Li; Liu, Pei Hua.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 94, no. 12, 126013. https://doi.org/10.1103/PhysRevD.94.126013

}

TY - JOUR

T1 - Towards holographic quantum energy teleportation

AU - Giataganas, Dimitrios

AU - Lin, Feng Li

AU - Liu, Pei Hua

PY - 2016/12/23

Y1 - 2016/12/23

N2 - We propose a simplified protocol of quantum energy teleportation (QET) for the holographic conformal field theory in three-dimensional anti-de Sitter space with or without a black hole. As a tentative proposal, we simplify the standard QET by replacing Alice's local measurement with the local projection, which excites the system from the ground state into a particular state dual to a Banados geometry. We then mimic Bob's local operation of the usual QET for extracting energy by deforming the UV surface with a local bump. Adopting the surface-state duality, this deformation corresponds to local unitary. We evaluate the extraction of energy from the holographic stress tensor and find that Bob always gains energy extraction in our protocol. This could be related to the positive energy theorem of the dual gravity. Moreover, the ratio of extraction energy to the injection one is a universal function of the UV surface deformation profile.

AB - We propose a simplified protocol of quantum energy teleportation (QET) for the holographic conformal field theory in three-dimensional anti-de Sitter space with or without a black hole. As a tentative proposal, we simplify the standard QET by replacing Alice's local measurement with the local projection, which excites the system from the ground state into a particular state dual to a Banados geometry. We then mimic Bob's local operation of the usual QET for extracting energy by deforming the UV surface with a local bump. Adopting the surface-state duality, this deformation corresponds to local unitary. We evaluate the extraction of energy from the holographic stress tensor and find that Bob always gains energy extraction in our protocol. This could be related to the positive energy theorem of the dual gravity. Moreover, the ratio of extraction energy to the injection one is a universal function of the UV surface deformation profile.

UR - http://www.scopus.com/inward/record.url?scp=85021638338&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021638338&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.94.126013

DO - 10.1103/PhysRevD.94.126013

M3 - Article

AN - SCOPUS:85021638338

VL - 94

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 12

M1 - 126013

ER -