Bounds on the multipartite entanglement of superpositions

Abstract

We derive the lower and upper bounds on the entanglement of a given multipartite superposition state in terms of the entanglement of the states being superposed. The first entanglement measure we use is the geometric measure, and the second is the q-squashed entanglement. These bounds allow us to estimate the amount of the multipartite entanglement of superpositions. We also show that two states of high fidelity to one another do not necessarily have nearly the same q-squashed entanglement.

4 pages, 2 figure. few typos corrected

References in corpus (2)

• Bounds on Negativity of Superpositions
• Concurrence of superposition

Cited by in corpus (13)

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• A Note on Fully Entangled Fraction
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• Simple sufficient condition for subspace to be completely or genuinely entangled
• Separability and entanglement in superpositions of quantum states
• The Bound of Entanglement of Superpositions with More Than Two Components
• Quantifying subspace entanglement with geometric measures
• Local transformations of superpositions of entangled states
• To share and not share a singlet: control qubit and nonclassicality in teleportation
• Computable constraints on entanglement-sharing of multipartite quantum states
• Unconditionally superposition-robust entangled state in all multiparty quantum systems