EPR Pairs, Local Projections and Quantum Teleportation in Holography

Abstract

In this paper we analyze three quantum operations in two dimensional conformal field theories (CFTs): local projection measurements, creations of partial entanglement between two CFTs, and swapping of subsystems between two CFTs. We also give their holographic duals and study time evolutions of entanglement entropy. By combining these operations, we present an analogue of quantum teleportation between two CFTs and give its holographic realization. We introduce a new quantity to probe tripartite entanglement by using local projection measurement.

61 pages, 24 figures. v2: comments and refs added. v3: minor corrections

References in corpus (5)

• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
• Notes on Quantum Entanglement of Local Operators
• Copenhagen vs Everett, Teleportation, and ER=EPR
• Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining

Cited by in corpus (38)

• Traversable Wormholes via a Double Trace Deformation
• Diving into traversable wormholes
• Holographic Pseudo Entropy
• Holographic Quantum Circuits from Splitting/Joining Local Quenches
• A New Proposal for Holographic BCFT
• On New Proposal for Holographic BCFT
• Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
• Double Local Quenches in 2D CFTs and Gravitational Force
• AdS/BCFT with Brane-Localized Scalar Field
• Renyi Entropy for Local Quenches in 2D CFTs from Numerical Conformal Blocks
• Holographic measurement and bulk teleportation
• On the Page curve under final state projection
• Zoo of holographic moving mirrors
• Holographic measurement and quantum teleportation in the SYK thermofield double
• Entanglement entropy after selective measurements in quantum chains
• Holographic measurement in CFT thermofield doubles
• Measurement-induced phase transition in teleportation and wormholes
• $T\bar{T}$ deformation on multiquantum mechanics and regenesis
• Entanglement of purification and disentanglement in CFTs
• Late Time Quantum Chaos of pure states in the SYK model
• Holographic Entanglement Entropy of Local Quenches in AdS${}_4$/CFT${}_3$: A Finite-Element Approach
• Entanglement Dynamics of the Non-Unitary Holographic Channel
• Holographic Weak Measurement
• Correlations vs connectivity in R-charge
• The Aharonov-Bohm Effect on Entanglement Entropy in Conformal Field Theory
• Exploring causality in braneworld/cutoff holography via holographic scattering
• Holographic Complexity for disentangled states
• Towards Holographic Quantum Energy Teleportation
• Wormholes with Ends of the World
• Quantum complexity phase transitions in monitored random circuits
• Direct Calculation of Mutual Information of Distant Regions
• Two Splits, Three Ways: Advances in Double Splitting Quenches
• Explicit Pfaffian Formula for Amplitudes of Fermionic Gaussian Pure States in Arbitrary Pauli Bases
• Dissipation meets conformal interface in open quantum systems: How the relaxation rate is suppressed
• Potential consequences of wormhole-mediated entanglement
• Subsystem Complexity and Measurements in Holography
• Symmetry Properties of Quantum Dynamical Entropy
• Channel induced dynamics of quantum information in mixed state free QFTs