Multipartite entanglement of superpositions
arXiv:0705.2521 · doi:10.1103/PhysRevA.76.042329
Abstract
The entanglement of superpositions [Phys. Rev. Lett. 97, 100502 (2006)] is generalized to the multipartite scenario: an upper bound to the multipartite entanglement of a superposition is given in terms of the entanglement of the superposed states and the superposition coefficients. This bound is proven to be tight for a class of states composed by an arbitrary number of qubits. We also extend the result to a large family of quantifiers which includes the negativity, the robustness of entanglement, and the best separable approximation measure.
4 pages. v2: reference added, text improved in clarity
References in corpus (24)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Separability of Mixed States: Necessary and Sufficient Conditions
- Concentrating Partial Entanglement by Local Operations
- Bell Inequalities and the Separability Criterion
- Geometric measure of entanglement and applications to bipartite and multipartite quantum states
- Optimization of entanglement witnesses
- Robustness of entanglement
- The entanglement cost under operations preserving the positivity of partial transpose
- Quantifying Entanglement with Witness Operators
- Separability and entanglement of composite quantum systems
- Quantitative entanglement witnesses
- Bounds on Multipartite Entangled Orthogonal State Discrimination Using Local Operations and Classical Communication
- How robust is a quantum gate in the presence of noise?
- Genralized Robustness of Entanglement
- A Geometric Picture of Entanglement and Bell Inequalities
- The Entanglement of Superpositions
- Connecting the generalized robustness and the geometric measure of entanglement
- Bounds on Negativity of Superpositions
- Concurrence of superposition
- Tight bounds on the concurrence of quantum superpositions
- Estimating entanglement of unknown states
- Entanglement activation and the robustness of quantum correlations
Cited by in corpus (14)
- Tangles of superpositions and the convex-roof extension
- Entanglement and Discord of superposition of Greenberger-Horne-Zeilinger states
- Reexamination of entanglement of superpositions
- Tight bounds on the concurrence of quantum 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
- Separability and entanglement in superpositions of quantum states
- The Bound of Entanglement of Superpositions with More Than Two Components
- Character of superposed states under deterministic LOCC
- Local transformations of superpositions of entangled states
- Distribution of Standard deviation of an observable among superposed states
- To share and not share a singlet: control qubit and nonclassicality in teleportation
- Unconditionally superposition-robust entangled state in all multiparty quantum systems