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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Higher-order uncertainty bounds for mixed states

arXiv

Authors: Alex J. Belfield, Dorje C. Brody

Year

2020

Paper ID

18704

Status

Preprint

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~2 min

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Abstract

Uncertainty lower bounds for parameter estimations associated with a unitary family of mixed-state density matrices are obtained by embedding the space of density matrices in the Hilbert space of square-root density matrices. In the Hilbert-space setup the measure of uncertainty is given by the skew information of the second kind, while the uncertainty lower bound is given by the Wigner-Yanase skew information associated with the conjugate observable. Higher-order corrections to the uncertainty lower bound are determined by higher-order quantum skew moments; expressions for these moments are worked out in closed form.

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Uncertainty lower bounds for parameter estimations associated with a unitary family of mixed-state density matrices are obtained by embedding the space of density matrices in...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.02965 [2] arXiv https://arxiv.org/abs/2012.02965 [3] Publisher https://arxiv.org/abs/2012.02965

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