Quantum covariance via quantum information. (English) Zbl 1522.81140
Summary: For a quantum state and a set of observables, S. Luo found a matrix inequality linking the quantum covariance and the quantum Fisher information defined via the symmetric logarithmic derivatives. In this paper, we provide the corresponding matrix inequality based on the Wigner-Yanase skew information.
MSC:
| 81R30 | Coherent states |
| 81P17 | Quantum entropies |
| 81S07 | Uncertainty relations, also entropic |
| 15B57 | Hermitian, skew-Hermitian, and related matrices |
Keywords:
matrix inequalities; quantum covariance; quantum Fisher information matrix; Wigner-Yanase skew information matrix; uncertainty relationsReferences:
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