Geometric Quantum Discord Signals Non-Factorization
arXiv:2305.04952 · doi:10.1007/JHEP08(2023)104
Abstract
We propose the information-theoretic quantity of geometric quantum discord (GQD) as an indicator of the factorization properties of a given quantum system. In particular, we show how non-vanishing discord implies that the corresponding partition function does not factorize, both for generic pure states and the thermofield double state as a state with a known geometric dual in light of the AdS/CFT correspondence. Via this analysis, we give a novel interpretation to the thermomixed double state as the best purely classical approximation of the Einstein-Rosen bridge. We connect the non-vanishing of GQD with the existence of wormhole microstates.
arXiv commentv1: 19 pages; v2: added references; v3: added footnote, matches published version
References in corpus (27)
- Gauge Theory Correlators from Non-Critical String Theory
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- The World as a Hologram
- Introducing Quantum Discord
- Classical, quantum and total correlations
- Aspects of Holographic Entanglement Entropy
- A Covariant Holographic Entanglement Entropy Proposal
- Geometric and Renormalized Entropy in Conformal Field Theory
- Eternal Black Holes in AdS
- Cool horizons for entangled black holes
- Necessary and sufficient condition for non-zero quantum discord
- Building up spacetime with quantum entanglement
- Complexity and Shock Wave Geometries
- The Gravity Dual of Renyi Entropy
- Computing quantum discord is NP-complete
- Quantum discord and its allies: a review
- Comments on the Necessity and Implications of State-Dependence in the Black Hole Interior
- How to Build the Thermofield Double State
- Interplay between computable measures of entanglement and other quantum correlations
- Holographic Quantum Entanglement Negativity
- A toy model of black hole complementarity
- Holographic measurement and quantum teleportation in the SYK thermofield double
- Geometric phases distinguish entangled states in wormhole quantum mechanics
- Overcounting of interior excitations: A resolution to the bags of gold paradox in AdS
- Negativity and quantum discord in Davies environments
- Holographic measurement in CFT thermofield doubles
- Wormholes from Averaging over States