The entanglement of purification
By Barbara M. Terhal, Michal Horodecki, Debbie W. Leung, David P. DiVincenzo. 2002
263 citations recorded by the source corpus.
We introduce a measure of both quantum as well as classical correlations in a quantum state, the entanglement of purification. We show that the (regularized) entanglement of purification is equal to the entanglement cost of creating a state ρ asymptotically from maximally entangled states, with negligible communication. We prove that the classical mutual information and the quantum mutual information divided by two are lower bounds for the regularized entanglement of purification. We present numerical results of the entanglement of purification for Werner states in H2 ⊗ H2.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/2d9195e8832691857494e8f76e76e4bfa35dc4d7
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
- T. Faulkner
- Souvik Dutta
- T. Takayanagi
- Koji Umemoto
- Brian Swingle
- P. Nguyen
- Matthew G. Halbasch
- Trithep Devakul
Citations in the corpus
- Entanglement of purification through holographic duality (2017, background): “operations and asymptotically vanishing communications [22].”
- Entanglement of purification: from spin chains to holography (2017, methodology): “In this appendix, we review the proofs of the properties of the Ep mentioned in the Introduction [8, 13], starting with the upper bound (5) by the entanglement entropy.”
- A canonical purification for the entanglement wedge cross-section (2019, background): “Although unlike Ep [3], we do not have an operational interpretation for this quantity that establishes this.”