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Multipartite Generalization of Quantum Discord
Chandrashekar Radhakrishnan1,2,3, Mathieu Laurière1,4, Tim Byrnes1,2,5,6,7
1New York University Shanghai, 1555 Century Avenue, Pudong, Shanghai 200122, China.
Physical Review Letters
|April 4, 2020
Summary
Researchers propose a new measure for multipartite quantum discord, consistent with bipartite systems. This quantity quantifies nonclassical correlations and decomposes for tripartite systems, revealing bipartite correlations and monogamy effects.
Area of Science:
- Quantum Information Theory
- Quantum Many-Body Systems
- Quantum Correlations
Background:
- Quantum discord quantifies nonclassical correlations in quantum systems.
- Existing measures are primarily defined for bipartite (two-party) systems.
- Generalizing quantum discord to multipartite systems is crucial for understanding complex quantum phenomena.
Purpose of the Study:
- To propose a general definition of quantum discord for multipartite quantum systems.
- To ensure the proposed measure is consistent with the established bipartite definition.
- To provide a tool for quantifying total nonclassical correlations in multipartite systems.
Main Methods:
- Formulation of a generalized quantum discord applicable to systems with more than two subsystems.
- Analysis of the properties of the proposed measure, including non-negativity and vanishing for classically correlated states.
- Decomposition of the multipartite discord for the tripartite case using conditional mutual information and tripartite mutual information.
Main Results:
- A novel generalization of quantum discord for multipartite systems is introduced.
- The proposed measure is non-negative and equals zero only for classically correlated subsystems.
- For tripartite systems, discord decomposes into bipartite nonclassical correlations and a term related to the monogamy of correlations.
Conclusions:
- The proposed multipartite quantum discord offers a consistent and meaningful measure of nonclassical correlations.
- The decomposition provides insights into the structure of correlations in multipartite quantum states.
- This work advances the understanding of quantum correlations beyond the bipartite regime.
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