An explicit entangled state on C¹⁰⊗C¹⁰ has zero distillable secret key against an eavesdropper holding a purification and the full public transcript, for completed local-instrument protocols with joint processing of copies and unlimited two-way public communication.
An explicit entangled state on C¹⁰⊗C¹⁰ has zero distillable secret key against an eavesdropper holding a purification and the full public transcript, for completed local-instrument protocols with joint processing of copies and unlimited two-way public communication. Every admitted bit-output protocol remains at trace distance at least 1/10 from an ideal secret bit.
An explicit entangled state on C¹⁰⊗C¹⁰ has zero distillable secret key against an eavesdropper holding a purification and the full public transcript, for completed local-instrument protocols with joint processing of copies and unlimited two-way public communication. Every admitted bit-output protocol remains at trace distance at least 1/10 from an ideal secret bit.
If correct, gives a finite-dimensional quantum counterexample to the all-entangled-states secret-key question under the stated operational protocol model.
Does every entangled state yield distillable secret key under two-way local protocols?
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OpenAI reports entanglement with zero distillable secret key
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