Physics – Quantum Physics
Scientific paper
1997-09-12
Phys.Rev.Lett.80:2245-2248,1998
Physics
Quantum Physics
13 pages, LaTeX, no figures
Scientific paper
10.1103/PhysRevLett.80.2245
The entanglement of a pure state of a pair of quantum systems is defined as the entropy of either member of the pair. The entanglement of formation of a mixed state is defined as the minimum average entanglement of an ensemble of pure states that represents the given mixed state. An earlier paper [Phys. Rev. Lett. 78, 5022 (1997)] conjectured an explicit formula for the entanglement of formation of a pair of binary quantum objects (qubits) as a function of their density matrix, and proved the formula to be true for a special class of mixed states. The present paper extends the proof to arbitrary states of this system and shows how to construct entanglement-minimizing pure-state decompositions.
Wootters William K.
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