A new scalar for Uhlmann curvature is defined from the Yang-Mills action, proven gauge-invariant and reparametrization-invariant, and linked to incompatibility in quantum multiparameter estimation.
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New purification-based reformulations of QCRB and HCRB connect mixed-state metrology bounds to those of purified states, enabling asymptotic attainment of HCRB or 2×QCRB via random channels and individual measurements.
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Quantifying Uhlmann curvature from Yang-Mills action and its implications in quantum multiparameter estimation
A new scalar for Uhlmann curvature is defined from the Yang-Mills action, proven gauge-invariant and reparametrization-invariant, and linked to incompatibility in quantum multiparameter estimation.
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Quantum metrology of mixed states via purification
New purification-based reformulations of QCRB and HCRB connect mixed-state metrology bounds to those of purified states, enabling asymptotic attainment of HCRB or 2×QCRB via random channels and individual measurements.