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LetV n be an exact unitaryn-design with|V n| ≤9d 8n4d2 , and define ˆΓn ={(λ, U) :λ∈Λ n,d, U∈ V n}

(Polynomial size):∀n∈N, |ˆΣn| ≤9d 8(n+ 1) 5d2 (19) To establish Theorem 1, we build a POVM with outcomes that correspond to possible empirical operators

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A Quantum Method of Types

cs.IT · 2026-06-25 · unverdicted · novelty 7.0

Introduces a quantum empirical operator satisfying combinatorial and large-deviation bounds to establish a quantum method of types and prove universal achievability in composite quantum hypothesis testing.

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  • A Quantum Method of Types cs.IT · 2026-06-25 · unverdicted · none · ref 4

    Introduces a quantum empirical operator satisfying combinatorial and large-deviation bounds to establish a quantum method of types and prove universal achievability in composite quantum hypothesis testing.