Bennett et al.: connecting one-way entanglement distillation and quantum error correction

What changed

The work relates one-way entanglement purification to quantum channel coding and shows that free forward classical messages do not increase unassisted quantum capacity. For Bell-diagonal states and their associated generalized depolarizing channels, the reversible state-channel construction identifies one-way distillable entanglement with quantum capacity.

Scientific scope

The work relates one-way entanglement purification to quantum channel coding and shows that free forward classical messages do not increase unassisted quantum capacity. For Bell-diagonal states and their associated generalized depolarizing channels, the reversible state-channel construction identifies one-way distillable entanglement with quantum capacity. For a general channel and a general bipartite state the two maps need not be inverses, so the paper gives inequalities rather than a universal equality between arbitrary channel capacity and its Choi-state distillable entanglement. Two-way classical assistance is a different resource and can increase rates. No claim of general additivity or a single-letter capacity formula.

Evidence

The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. For a general channel and a general bipartite state the two maps need not be inverses, so the paper gives inequalities rather than a universal equality between arbitrary channel capacity and its Choi-state distillable entanglement. Two-way classical assistance is a different resource and can increase rates. No claim of general additivity or a single-letter capacity formula.

Contributors

• The named authors in the research record · SCIENCE: The original named human researchers developed the exact mathematical construction or framework. Composite source families retain separate original paper bylines and predecessor roles; they are not a fictional joint publication. Individual effort shares, person identity joins and nationalities are not inferred. The source reading is not independent proof certification.

• Mixed State Entanglement and Quantum Error Correction

Provisional WRS assessment, edition 2026-10-23.9. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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