Entanglement map · Topic

Measures

How much entanglement does a state hold? For pure bipartite states the answer is essentially unique. For mixed states, different operational questions give different quantities, and many of them resist calculation.

Connections

• Part of: Entanglement
• Includes: A measure must not increase under local operations
• Includes: When a measure must equal the reduced entropy on pure states
• Includes: Entanglement of formation has a closed form for two qubits
• Includes: Entanglement of formation is additive
• Includes: Entanglement cost equals regularised entanglement of formation
• Includes: Negativity and log-negativity can be computed for any state
• Includes: Relative entropy of entanglement is additive
• Includes: Squashed entanglement is additive and faithful
• Includes: Can distillable entanglement be computed in general?

Sources

• Quantum entanglement. R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, 2007.

Checked 2026-10-30.