Reveal quantum correlation in complementary bases

Abstract

An essential feature of genuine quantum correlation is the simultaneous existence of correlation in complementary bases. We reveal this feature of quantum correlation by defining measures based on invariance under a basis change. For a bipartite quantum state, the classical correlation is the maximal correlation present in a certain optimum basis, while the quantum correlation is characterized as a series of residual correlations in the mutually unbiased bases. Compared with other approaches to quantify quantum correlation, our approach gives information-theoretical measures that directly reflect the essential feature of quantum correlation.

7 pages, 4 figures

References in corpus (7)

• Necessary and sufficient condition for non-zero quantum discord
• On the quantum, classical and total amount of correlations in a quantum state
• Research on Hidden Variable Theories: a review of recent progresses
• No-local-broadcasting theorem for quantum correlations
• Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality
• Hierarchy and dynamics of trace distance correlations
• Quantum discord cannot be shared

Cited by in corpus (16)

• Complementarity and correlations
• Pearson Correlation Coefficient as a measure for Certifying and Quantifying High Dimensional Entanglement
• Quantum correlation exists in any non-product state
• Classical extension of quantum-correlated separable states
• Remote State Preparation using Correlations beyond Discord
• Role of complementary correlations in the evolution of classical and quantum correlations under Markovian decoherence
• A generalization of Schmidt number for multipartite states
• Revealing the quantitative relation between simultaneous correlations in complementary bases and quantum steering for two-qubit Bell diagonal states
• Local available quantum correlations of X states: The symmetric and anti-symmetric cases
• Comment on `Local available quantum correlations for Bell Diagonal states and markovian decoherence'
• Optimal exploitation of the resource in remote state preparation
• Local available quantum correlations of non-symmetric X states
• Operational simultaneous correlations in complementary bases of bipartite states via one-sided semi-device-independent steering
• Maximal Holevo quantity based on weak measurements
• Non-commutativity measure of quantum discord
• One-Way Deficit and Holevo Quantity of Generalized $n$-qubit Werner State