Physics – Quantum Physics
Scientific paper
2004-11-29
Phys. Rev. A *72*, 032336 (2005)
Physics
Quantum Physics
Revised version: 8 pages, 3 figures, two-column. Have added bounds for general pure states, corrected typos and updated format
Scientific paper
10.1103/PhysRevA.72.032336
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.
Fortescue Ben
Lo Hoi-Kwong
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