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Monogamy Inequality for Any Local Quantum Resource and Entanglement
1Laboratoire de Physique Théorique de la Matière Condensée, UMR 7600, Sorbonne Universités, UPMC Univ Paris 06, F-75005 Paris, France.
Physical Review Letters
|September 27, 2017
Summary
This study introduces a new monogamy inequality for quantum resources and entanglement. It reveals a novel form of entanglement monogamy and establishes a basis-independent upper bound for local coherence.
Area of Science:
- Quantum Information Theory
- Quantum Many-Body Systems
Background:
- Quantum resources, such as coherence and non-uniformity, are crucial in quantum information processing.
- Entanglement monogamy is a fundamental property limiting the distribution of entanglement in multipartite quantum systems.
Purpose of the Study:
- To derive a general monogamy inequality applicable to any local quantum resource and entanglement.
- To explore the consequences of this inequality for entanglement monogamy and local coherence bounds.
Main Methods:
- Derivation of a monogamy inequality using the convexity of quantum resource measures.
- Analysis of the relationship between entanglement and local entropy.
- Application of the inequality to specific quantum resources like coherence and non-uniformity.
Main Results:
- A novel monogamy inequality is established for local quantum resources and entanglement.
- A new form of entanglement monogamy, distinct from conventional ones, is identified.
- An upper bound for local coherence is derived, which is independent of the chosen basis.
Conclusions:
- The derived monogamy inequality provides a fundamental constraint on the interplay between quantum resources and entanglement.
- The basis-independent bound on local coherence offers new insights into quantifying and utilizing quantum information.
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