Entanglement map · Refuted

Bell nonlocality implies distillability (the Peres conjecture)

The statement shown is false.

Peres conjectured in 1999 that the two were equivalent. Vértesi and Brunner gave a bound entangled state that violates a Bell inequality, so nonlocality implies neither distillability nor a negative partial transpose.

Connections

• Part of: Conversion
• See also: Bound entanglement exists

Sources

• Disproving the Peres conjecture: Bell nonlocality from bipartite bound entanglement. T. Vértesi, N. Brunner, 2014.

Checked 2026-10-30.