The Bound of Entanglement of Superpositions with More Than Two Components

Abstract

A bipartite quantum state (for two systems in any dimensions) can be decomposed as a superposition of many components. For a superposition of more than two components we prove that there is a bound of the entanglement of the superposition state which can be expressed according to entanglements of its component states. Especially, if the component states are mutually bi-orthogonal, the entanglement of the superposition state can be exactly given in terms of the entanglements of the states being superposed.

arXiv comment5 pages;v2: version to be pulished in The European Physical Journal D

References in corpus (9)

• Concentrating Partial Entanglement by Local Operations
• Thermodynamics and the Measure of Entanglement
• The Entanglement of Superpositions
• Bounds on Negativity of Superpositions
• Concurrence of superposition
• Reexamination of entanglement of superpositions
• Bounds on the multipartite entanglement of superpositions
• Tight bounds on the concurrence of quantum superpositions
• Multipartite entanglement of superpositions

Cited by in corpus (5)

• A new parameterized entanglement monotone
• Simple sufficient condition for subspace to be completely or genuinely entangled
• Quantifying subspace entanglement with geometric measures
• Local transformations of superpositions of entangled states
• Distribution of Standard deviation of an observable among superposed states