Introduces absolute Schmidt number for states invariant under global unitaries, with witness and moment-based detection methods plus resource measures, extended to covariant channels.
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Quantum strategy stores isometry channels with n = Θ(1/√ε) queries for error ε, quadratic improvement over classical n = Θ(ε^{-1}).
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Absolute Schmidt number: characterization, detection and resource-theoretic quantification
Introduces absolute Schmidt number for states invariant under global unitaries, with witness and moment-based detection methods plus resource measures, extended to covariant channels.
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Quantum Advantage in Storage and Retrieval of Isometry Channels
Quantum strategy stores isometry channels with n = Θ(1/√ε) queries for error ε, quadratic improvement over classical n = Θ(ε^{-1}).