Manuscript Hawk03-A@1 · Hawk03-A.tex · corollary · 9a109c12

Corollary: Exterior-only distillation

Independent-factor AMPS benchmarks › A sharp two-purifier test · lines 488–500 · proof included or linked

Hawk03-A@1#cor:exteriordistill

For a state on independent factors $A B E$ , let an exterior-only channel map $E$ to a $d$ -dimensional purifier register $F$ . It cannot produce two Bell-test success probabilities violating (eq:projectionmonogamy).

Proof. Applying the channel on $E$ preserves the $A B$ marginal and produces a state on the independent factors $A B F$ . Apply Theorem thm:twopurifiers.

Nearby in this section

theorem: Theorem: Two independent Bell purifiers
section: A sharp two-purifier test