Quantum correlation exists in any non-product state

Abstract

Simultaneous existence of correlation in complementary bases is a fundamental feature of quantum correlation, and we show that this characteristic is present in any non-product bipartite state. We propose a measure via mutually unbiased bases to study this feature of quantum correlation, and compare it with other measures of quantum correlation for several families of bipartite states.

5 pages

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• Quantum discord and its allies: a review
• Pearson Correlation Coefficient as a measure for Certifying and Quantifying High Dimensional Entanglement
• Quantum CDMA Communication Systems
• Any entanglement of assistance is polygamous
• Complete monogamy of the multipartite quantum mutual information
• Remote State Preparation using Correlations beyond Discord
• A generalization of Schmidt number for multipartite states
• Quantumness and the role of locality on quantum correlations
• Revealing the quantitative relation between simultaneous correlations in complementary bases and quantum steering for two-qubit Bell diagonal states
• Minimum Disturbance Rewards with Maximum Possible Classical Correlations
• Change of quantum correlation for two simultaneously accelerated observers
• Optimal exploitation of the resource in remote state preparation
• Sufficient conditions for quantum advantage in random access code protocols with two-qubit states
• Operational simultaneous correlations in complementary bases of bipartite states via one-sided semi-device-independent steering
• One-Way Deficit and Holevo Quantity of Generalized $n$-qubit Werner State