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.
Novel Schemes for Directly Measuring Entanglement of General States
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abstract
An intrinsic relation between maximally entangled states and entanglement measures is revealed, which plays a role in establishing connections for different entanglement quantifiers. We exploit the basic idea and propose a framework to construct schemes for directly measuring entanglement of general states. In particular, we demonstrate that rank-1 local factorizable projective measurements, which are achievable with only one copy of entangled state involved at a time in a sequential way, are sufficient to directly determine the concurrence of arbitrary two-qubit entangled state.
fields
quant-ph 1years
2025 1verdicts
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Singular value transformation for unknown quantum channels
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.