Activation of Nonmonogamous Multipartite Quantum States

TL;DR

This paper demonstrates that nonmonogamous quantum states can be activated to satisfy monogamy relations by using multiple copies, revealing new insights into quantum correlations and entanglement sharing.

Contribution

It proves that nonmonogamous states become monogamous with multiple copies and explores activation phenomena for negativity in multipartite quantum states.

Findings

Multiple copies of a state satisfy monogamy for negativity.

Two states violating monogamy can satisfy it when combined.

Activation applies to all quantum states of any number of parties.

Abstract

The monogamy relation for quantum correlations is not satisfied by all measures for all multiparty quantum states. We prove that an arbitrary quantum state which is nonmonogamous for negativity will become monogamous if a finite number of copies of the same state is provided. We refer this as activation of nonmonogamous states. We also show that multiple copies of a state satisfy monogamy for negativity if it does so for a single copy. The results are true for all quantum states of an arbitrary number of parties. Moreover, we find that two different three-qubit pure states which individually violate monogamy relation for negativity, taken together can satisfy the three-party monogamy relation. This holds for almost all three-qubit pure states while it is true for all three-qubit pure states when a four-party monogamy relation is used to check for their activation. We finally connect monogamy of negativity with genuine multipartite entanglement.