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Quantum State Estimation with Informationally Overcomplete Measure- ments

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A general estimation framework for continuous-variable systems

quant-ph · 2026-07-21 · conditional · novelty 7.0

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.

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  • A general estimation framework for continuous-variable systems quant-ph · 2026-07-21 · conditional · none · ref 2025

    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.