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The states ρ± have the form ρ± = 1 2 |0⟩⟨0| ⊗(E ⊗I)|Φ+ d ⟩⟨Φ+ d | ±1 2d |0⟩⟨1| ⊗(EAFY Z)TZ ± 1 2d |1⟩⟨0| ⊗(FY ZE † A)TZ + 1 2 |1⟩⟨1| ⊗(I ⊗ E)|Φ+ d ⟩⟨Φ+ d |, (11) where FY Zdenotes

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quant-ph 1

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Singular value transformation for unknown quantum channels

quant-ph · 2025-06-30 · conditional · novelty 7.0

An algorithm block-encodes the Liouville representation of an unknown quantum channel from black-box access, enabling polynomial transformations of its singular values via QSVT.

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  • Singular value transformation for unknown quantum channels quant-ph · 2025-06-30 · conditional · none · ref 2

    An algorithm block-encodes the Liouville representation of an unknown quantum channel from black-box access, enabling polynomial transformations of its singular values via QSVT.