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.
Quantum State Measure- ment by Realistic Heterodyne Detection
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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.