Bounds on the multipartite entanglement of superpositions
arXiv:0706.1598 · doi:10.1103/PhysRevA.76.054303
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.
arXiv comment4 pages, 2 figure. few typos corrected
References in corpus (6)
- Geometric measure of entanglement and applications to bipartite and multipartite quantum states
- "Squashed Entanglement" - An Additive Entanglement Measure
- Monotones and invariants for multi-particle quantum states
- The Entanglement of Superpositions
- Bounds on Negativity of Superpositions
- Concurrence of superposition
Cited by in corpus (18)
- Tangles of superpositions and the convex-roof extension
- Entanglement and Discord of superposition of Greenberger-Horne-Zeilinger states
- A Note on Fully Entangled Fraction
- A new parameterized entanglement monotone
- Reexamination of entanglement of superpositions
- Decoherence dynamics of geometric measure of quantum discord and measurement-induced nonlocality for noninertial observers at finite temperature
- On the concurrence of superpositions of many states
- Genuine Multipartite Entanglement of Superpositions
- Hierarchy of multipartite nonlocality in the nonsignaling scenario
- 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
- Character of superposed states under deterministic LOCC
- Local transformations of superpositions of entangled states
- To share and not share a singlet: control qubit and nonclassicality in teleportation
- Unconditionally superposition-robust entangled state in all multiparty quantum systems
- Computable constraints on entanglement-sharing of multipartite quantum states