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.
Sun, G-frames and g-Riesz bases, Journal of Mathematical Analysis and Applications
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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.