Inefficiency and classical communication bounds for conversion between partially entangled pure bipartite states
arXiv:quant-ph/0411200 · doi:10.1103/PhysRevA.72.032336
Abstract
We derive lower limits on the inefficiency and classical communication costs of dilution between two-term bipartite pure states that are partially entangled. We first calculate explicit relations between the allowable error and classical communication costs of entanglement dilution using the protocol of Lo-Popescu and then consider a two-stage dilution from singlets with this protocol followed by some unknown protocol for conversion between partially entangled states. Applying the lower bounds on classical communication and inefficiency of Harrow-Lo and Hayden-Winter to this two-stage protocol, we derive bounds for the unknown protocol. In addition we derive analogous (but looser) bounds for general pure states.
Revised version: 8 pages, 3 figures, two-column. Have added bounds for general pure states, corrected typos and updated format to PRA version
References in corpus (4)
- Concentrating Partial Entanglement by Local Operations
- Classical Communication Cost in Distributed Quantum Information Processing - A generalization of Quantum Communication Complexity
- The classical communication cost of entanglement manipulation: Is entanglement an inter-convertible resource?
- On the communication cost of entanglement transformations