Verifying multipartite mode entanglement of W states

2009/03/04 by Pavel Lougovski, S. J. van Enk, Kyung Soo Choi +4 · 38 citations
Computer Science · Physics and Astronomy · #Algorithm #Construct (python library) #Ideal (ethics) #Law #Mode (computer interface) #Multipartite #Multipartite entanglement #Photon #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Squashed entanglement #State (computer science) #Statistical physics #W state #quant-ph

paper · pdf · doi:10.1088/1367-2630/11/6/063029

published in New Journal of Physics 11(6), 063029 (IOP Publishing) · 11 pages, 12 figures

arxiv created 2009/03/04 · openalex publication_date 2009/06/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We construct a method for verifying mode entanglement of N -mode W states. The ideal W state contains exactly one excitation symmetrically shared between N modes, but our method takes the existence of higher numbers of excitations into account, as well as the vacuum state and other deviations from the ideal state. Moreover, our method distinguishes between full N -party entanglement and states with M -party entanglement with M < N , including mixtures of the latter. We specialize to the case N =4 for illustrative purposes. In the optical case, where excitations are photons, our method can be implemented using linear optics.

Citations

• Three qubits can be entangled in two inequivalent ways
• Linear optical scheme to demonstrate genuine multipartite entanglement for single-particleWstates
• Experimental Demonstration of Single Photon Nonlocality
• Experimental procedures for entanglement verification
• Experimental entanglement quantification and verification via uncertainty relations
• Entanglement of electromagnetic fields
• Storage and retrieval of single photons transmitted between remote quantum memories
• Violation of local uncertainty relations as a signature of entanglement
• Separability Criterion for Density Matrices
• Strong violations of Bell-type inequalities for path-entangled number states
• Long-distance quantum communication with atomic ensembles and linear optics
• Separability of mixed states: necessary and sufficient conditions
• Detecting mode entanglement: The role of coherent states, superselection rules, and particle statistics
• Entanglement detection

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