A quantum channel is phase retrievable iff its complementary channel is pure-state informationally complete, and coherent interferometric coupling via port operators can enhance this property even for individually non-retrievable channels.
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A machine that purifies two quantum inputs of different rank with positive probability cannot be a linear positive map, ruling out universal probabilistic purification from finite copies; approximate strategies exhibit a dimension-dependent trade-off between pure-output and append-environment maps.
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Enhancing Phase Retrievability of Quantum Channels via Interferometric Coupling
A quantum channel is phase retrievable iff its complementary channel is pure-state informationally complete, and coherent interferometric coupling via port operators can enhance this property even for individually non-retrievable channels.
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Probabilistic and approximate universal quantum purification machines
A machine that purifies two quantum inputs of different rank with positive probability cannot be a linear positive map, ruling out universal probabilistic purification from finite copies; approximate strategies exhibit a dimension-dependent trade-off between pure-output and append-environment maps.