Comments on entanglement entropy
arXiv:gr-qc/9805039 · doi:10.1103/PhysRevD.58.104023
Abstract
A new interpretation of entanglement entropy is proposed: entanglement entropy of a pure state with respect to a division of a Hilbert space into two subspaces 1 and 2 is an amount of information, which can be transmitted through 1 and 2 from a system interacting with 1 to another system interacting with 2. The transmission medium is quantum entanglement between 1 and 2. In order to support the interpretation, suggestive arguments are given: variational principles in entanglement thermodynamics and quantum teleportation. It is shown that a quantum state having maximal entanglement entropy plays an important role in quantum teleportation. Hence, the entanglement entropy is, in some sense, an index of efficiency of quantum teleportation. Finally, implications for the information loss problem and Hawking radiation are discussed.
Latex, 24 pages, proofs of some equations are added in appendices; Accepted for publication in Physical Review D
References in corpus (36)
- Experimental quantum teleportation
- M Theory As A Matrix Model: A Conjecture
- Black Hole Entropy is Noether Charge
- Entropy and Area
- Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
- Geometric and Renormalized Entropy in Conformal Field Theory
- On Geometric Entropy
- Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
- Entropy, Area, and Black Hole Pairs
- Negative entropy and information in quantum mechanics
- A comparison of Noether charge and Euclidean methods for Computing the Entropy of Stationary Black Holes
- Black Hole Entropy and Entropy of Entanglement
- Dynamical Origin of the Entropy of a Black Hole
- The Microcanonical Functional Integral. I. The Gravitational Field
- Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem
- Black Holes in String Theory
- Schwarzschild Black Holes from Matrix Theory
- Entropic Bell Inequalities
- Stability of Non-Abelian Black Holes
- Remarks on geometric entropy
- Proof of the Generalized Second Law for Quasistationary Semiclassical Black Holes
- Black holes, brick walls and the Boulware state
- Black hole entropy: statistical mechanics agrees thermodynamics
- Black Hole Entropy: Off-Shell vs On-Shell
- Schwarzchild Black Holes in Matrix Theory II
- Entanglement entropy in curved spacetimes with event horizons
- An Operational Approach To Black Hole Entropy
- Geometric Entropy, Wave Functionals, and Fermions
- Can the entanglement entropy be the origin of black-hole entropy ?
- Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings
- New Proof of the Generalized Second Law
- Thermodynamics of entanglement in Schwarzschild spacetime
- Entanglement Entropy of Nontrivial States
- On the Entropy of Matrix Black Holes
- Matrix Black Holes
- Quantum Geometry and Black Holes
Cited by in corpus (12)
- Dynamic black-hole entropy
- Entanglement entropy of the black hole horizon
- Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
- Typical and extreme entropies of long-lived isolated quantum systems
- Effects of a scalar field on the thermodynamics of interuniversal entanglement
- Moving-mirror entropy
- Entanglement and Nonunitary Evolution
- Hartle-Hawking state is a maximum of entanglement entropy
- Do black holes store negative entropy?
- Black hole thermodynamics from decoherence
- On the assumptions leading to the information loss paradox
- UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox