Entanglement map · Established

Negativity and log-negativity can be computed for any state

Proved, with a source.

These quantities come directly from the partial transpose, and bound teleportation capacity and distillable entanglement. Log-negativity does not increase on average under PPT operations, even though it is not convex.

Connections

• Part of: Measures
• Relies on: Every separable state has a positive partial transpose

Sources

• A computable measure of entanglement. G. Vidal, R. F. Werner, 2001.
• The logarithmic negativity: a full entanglement monotone that is not convex. M. B. Plenio, 2005.

Checked 2026-10-30.