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Updated: Jun 14, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Correlative capacity of composite quantum states
1Department of Physics and Astronomy, California State University, Sacramento, California 95819-6041, USA. hpartovi@csus.edu
Physical Review Letters
|April 7, 2010
Summary
We determined the maximum correlation achievable by quantum states, including entangled and separable states. This correlation measure is robust against local operations and classical communication, offering insights into quantum information theory.
Area of Science:
- Quantum Information Theory
- Quantum Correlations
- Many-Body Physics
Background:
- Understanding quantum correlations is crucial for quantum information processing.
- Characterizing the limits of correlations in quantum states is an ongoing challenge.
- Majorization theory provides a framework for comparing quantum states.
Purpose of the Study:
- To characterize the optimal correlative capacity of entangled, separable, and classically correlated states.
- To introduce and utilize infimum and supremum within majorization theory.
- To define and analyze classically correlated states based on marginal bases.
Main Methods:
- Utilizing majorization theory to define infimum and supremum.
- Constructing the least disordered separable state compatible with given marginals.
- Analyzing the properties of correlation information under local operations and classical communication (LOCC).
Main Results:
- The maximum separable correlation information supportable by marginals of a multiqubit pure state is an LOCC monotone.
- The least disordered composite of a pair of qubits was determined for entangled, separable, and classically correlated states.
- Classically correlated states were defined as diagonal in the product of marginal bases.
Conclusions:
- The study provides a comprehensive characterization of quantum correlative capacity.
- The findings establish a connection between majorization theory and quantum correlations.
- The identified LOCC monotone offers a robust measure for quantum correlations.
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