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5 Proof.A proof of this statement follows the same tech- nique used to prove classical Sanov’s theorem for discrete probability distributions, see for example [4]

Then for anyA⊂ D d, −inf σ∈int(A) DR(σ∥ρ)≤lim inf n→∞ 1 n logP Mn[A|ρ] (24) ≤lim sup n→∞ 1 n logP Mn[A|ρ]≤ −inf σ∈A DR(σ∥ρ)

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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 8

    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.