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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

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Are general quantum correlations monogamous?

Alexander Streltsov¹, Gerardo Adesso, Marco Piani

¹Heinrich-Heine-Universität Düsseldorf, Institut für Theoretische Physik III, Germany.

Physical Review Letters

|September 26, 2012

Summary

This summary is machine-generated.

Quantum correlations like quantum discord are not always monogamous, unlike quantum entanglement. This study proves only entanglement measures can be strictly monogamous across all quantum states.

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Area of Science:

Quantum Information Theory
Quantum Many-Body Systems

Background:

Quantum entanglement and nonlocality exhibit monogamy, restricting their distribution in multipartite systems.
Quantum discord quantifies correlations beyond entanglement, but its monogamy has been questioned for certain states.

Purpose of the Study:

To rigorously investigate the monogamy properties of quantum correlation measures.
To determine the conditions under which quantum correlation measures are strictly monogamous.

Main Methods:

Theoretical analysis of monogamy properties for general quantum correlation measures.
Examination of the geometric measure of discord in three-qubit systems.

Main Results:

Proved that any universally monogamous correlation measure must vanish for all separable states.
Established that only entanglement measures can be strictly monogamous across all quantum states.
Demonstrated that the geometric measure of discord satisfies monogamy for pure states in three-qubit systems.

Conclusions:

Strict monogamy is an exclusive property of entanglement measures.
Non-entanglement correlation measures may exhibit monogamy only in restricted scenarios.
The geometric measure of discord shows monogamy for specific multipartite pure states.