Entanglement of Formation of an Arbitrary State of Two Qubits

William K. Wootters
Phys. Rev. Lett. 80, 2245 – Published 9 March 1998
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Abstract

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 ρ is the minimum average entanglement of an ensemble of pure states that represents ρ. An earlier paper 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 for special states. The present paper extends the proof to arbitrary states of this system and shows how to construct entanglement-minimizing decompositions.

  • Received 12 September 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.2245

©1998 American Physical Society

Authors & Affiliations

William K. Wootters

  • Department of Physics, Williams College, Williamstown, Massachusetts 01267

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Vol. 80, Iss. 10 — 9 March 1998

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