Abstract

The ``entanglement of formation'' of a mixed state of a bipartite quantum system can be defined in terms of the number of pure singlets needed to create the state with no further transfer of quantum information. We find an exact formula for the entanglement of formation for all mixed states of two qubits having no more than two non-zero eigenvalues, and we report evidence suggesting that the formula is valid for all states of this system.

Keywords

Quantum entanglementBipartite graphPhysicsQuantum mechanicsQubitSquashed entanglementEigenvalues and eigenvectorsW stateState (computer science)Quantum discordMultipartite entanglementQuantumStatistical physicsCombinatoricsMathematicsAlgorithm

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Publication Info

Year
1997
Type
article
Volume
78
Issue
26
Pages
5022-5025
Citations
2716
Access
Closed

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Cite This

Scott Hill, William K. Wootters (1997). Entanglement of a Pair of Quantum Bits. Physical Review Letters , 78 (26) , 5022-5025. https://doi.org/10.1103/physrevlett.78.5022

Identifiers

DOI
10.1103/physrevlett.78.5022