Monogamy of quantum entanglement and other correlations

By Masato Koashi, Andreas J. Winter. 2003

474 citations recorded by the source corpus.

It has been observed by numerous authors that a quantum system being entangled with another one limits its possible entanglement with a third system: this has been dubbed the ``monogamous nature of entanglement.'' In this paper we present a simple identity which captures the trade off between entanglement and classical correlation, which can be used to derive rigorous monogamy relations. We also prove various other trade offs of a monogamy nature for other entanglement measures and secret and total correlation measures.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/98e10185d29d0d21f109a5197faac247c4358dfa

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Aspects of Generic Entanglement (2004, background): “We will frequently need to make statements conditioned on the additivity conjecture for Ef or, equivalently, I → (see [31] for the equivalence).”
The classical-quantum boundary for correlations: Discord and related measures (2011, background): “This quantity is always positive and it is related to entanglement of formation due to the monogamy relation (Koashi and Winter, 2004): EF (B : C) + J(B|A) = S(B) (60) for any tripartite pure state |ψABC〉.”
Faithful Squashed Entanglement (2010, background): “The key point in the proof of Corollary 2 is the fact that squashed entanglement satisfies the so-called monogamy inequality [ 11 ], namely”
Jerusalem Lectures on Black Holes and Quantum Information (2014, background): “This is what we need to form a contradiction; if B is strongly entangled with RB, then it cannot also be significantly entangled with A without violating a principle; the amusingly-titled monogamy of entanglement [147].”
Holographic mutual information is monogamous (2011, background): “with equality if the state ρABC is pure [34].”