Uncertainty Relation Based on Skew Information with Quantum Memory

Abstract

We present a new uncertainty relation by defining a measure of uncertainty based on skew information. For bipartite systems, we establish uncertainty relations with the existence of a quantum memory. A general relation between quantum correlations and tight bounds of uncertainty has been presented.

References in corpus (6)

• The classical-quantum boundary for correlations: discord and related measures
• The Uncertainty Principle in the Presence of Quantum Memory
• Quantum discord and classical correlation can tighten the uncertainty principle in the presence of quantum memory
• Entropic uncertainty relations for multiple measurements
• Schrödinger uncertainty relation with Wigner-Yanase skew information
• Anti- (Conjugate) Linearity

Cited by in corpus (6)

• Tight $N$-observable uncertainty relations and their experimental demonstrations
• Coherence and complementarity based on modified generalized skew information
• Uncertainty Relations Based on Modified Wigner-Yanase-Dyson Skew Information
• Sum uncertainty relations based on $(\alpha ,\beta ,\gamma )$ weighted Wigner-Yanase-Dyson skew information
• Uncertainty relation based on Wigner-Yanase-Dyson skew information with quantum memory
• Analytically Computable Symmetric Quantum Correlations