Finite-copy compilation of the quantum-memory joint measurement

Construct the finite-copy quantum circuit that implements the prescribed joint measurement after generalized Duan–Kimble transduction of the optical states into logic-capable atomic quantum memories.

Background

The proposed quantum-memory receiver maps each unary-encoded photonic qudit into qubits and then invokes quantum local asymptotic normality. The asymptotic procedure consists of a Schur–Weyl “which block” measurement followed by a discrete approximation to dual-homodyne detection in the qudit representation.

The paper describes the required asymptotic measurement conceptually but does not provide its explicit finite-copy quantum circuit after optical-to-memory transduction. The authors identify this concrete implementation as work still to be completed.

References

The precise compilation of the joint measurement as a quantum circuit acting on finite $n$ copies, after the generalized Duan-Kimble transduction onto logic-capable atomic quantum memories, is left for future work.

— Attaining Fundamental Limits of Multiparameter Incoherent Optical Imaging Using Joint-Detection Quantum Measurements  (2608.19524 - Deshler et al., 20 Aug 2026) in Subsection “(1) Transduction into Quantum Memories,” Section “Optimal Joint Detection Receivers”