In continuous-variable quantum estimation, informational completeness is not enough: stable reconstruction needs a positive lower frame bound in a σ-regularized geometry, and quasiprobability singularities (the P function, homodyne pattern functions) are exactly the signature of the missing bound.
Homodyne Detection and Quantum State Reconstruction
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abstract
A review is given on phase-sensitive measurements, such as homodyne detection, for radiation fields and material systems. Methods of quantum-state reconstruction are considered for radiation fields, including multimode and pulsed radiation. For matter systems, methods are reported for the reconstruction of quantum states of molecular vibrations, the quantized motion of trapped atoms, Bose-Einstein condensates, atomic matter waves, electron motion, spin and angular momentum systems, and crystal lattices.
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quant-ph 1years
2026 1verdicts
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A general estimation framework for continuous-variable systems
In continuous-variable quantum estimation, informational completeness is not enough: stable reconstruction needs a positive lower frame bound in a σ-regularized geometry, and quasiprobability singularities (the P function, homodyne pattern functions) are exactly the signature of the missing bound.