Auxiliary Schmidt rank r_Φ must be at least d for deterministic photonic Bell-state discrimination of d-dimensional qudits, with ceil(d/2) sufficient for partial success.
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Multi-controlled single-qudit gates can be synthesized with O(n²) CINC gates (O(n) for special unitaries), enabling improved qudit isometry and channel circuits and, for prime d, equivalent SUM-gate circuits.
A black-box machine learning technique trains continuously-coupled photonic waveguide arrays to implement target unitaries using limited single- and two-photon measurements without requiring detailed internal models.
citing papers explorer
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Auxiliary Schmidt Rank as a Resource for Photonic Bell Measurements
Auxiliary Schmidt rank r_Φ must be at least d for deterministic photonic Bell-state discrimination of d-dimensional qudits, with ceil(d/2) sufficient for partial success.
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Efficient High-Dimensional Quantum Circuit Synthesis: From Multi-Controlled Gates to Isometries and Quantum Channels
Multi-controlled single-qudit gates can be synthesized with O(n²) CINC gates (O(n) for special unitaries), enabling improved qudit isometry and channel circuits and, for prime d, equivalent SUM-gate circuits.
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Training continuously-coupled reconfigurable photonic chips with quantum machine learning
A black-box machine learning technique trains continuously-coupled photonic waveguide arrays to implement target unitaries using limited single- and two-photon measurements without requiring detailed internal models.