2000Physical Review AOpen access

Continuity bounds for entanglement

Michael A. Nielsen

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Abstract

This Brief Report quantifies the continuity properties of entanglement: how much does entanglement vary if we change the entangled quantum state just a little? This question is studied for the pure state entanglement of a bipartite system and for the entanglement of formation of a bipartite system in a mixed state.

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This Brief Report quantifies the continuity properties of entanglement: how much does entanglement vary if we change the entangled quantum state just a little? This question is studied for the pure state entanglement of a bipartite system and for the entanglement of formation of a bipartite system in a mixed state.

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Available abstract

This Brief Report quantifies the continuity properties of entanglement: how much does entanglement vary if we change the entangled quantum state just a little? This question is studied for the pure state entanglement of a bipartite system and for the entanglement of formation of a bipartite system in a mixed state.

Key concepts: Quantum entanglement, Bipartite graph, Squashed entanglement, Multipartite entanglement, W state, State (computer science), Entanglement witness, Quantum mechanics

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