How to fool the GHZ and W witnesses

2005/06/04 by Daniel Cavalcanti, D. Cavalcanti, M. O. Terra Cunha +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0506035

6 pages, 1 figure

arxiv created 2005/06/04 · openalex publication_date 2005/06/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In spite of the fact that there are only two classes of three-qubit genuine entanglement: W and GHZ, we show that there are three-qubit genuinely entangled states which can not be detected neither by W nor by GHZ entanglement witnesses.

Citations

• Three qubits can be entangled in two inequivalent ways
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?
• Separability Criterion for Density Matrices
• Multiparticle entanglement manipulation under positive partial transpose preserving operations
• Distributed Entanglement

Related

• Entanglement and genuine entanglement of three qubit GHZ diagonal states
• The three kinds of three-qubit entanglement
• Going beyond GHZ paradox
• A Witness of GHZ Entanglement Using Only Collective Spin Measurements
• Generation of Three-Qubit Entangled States using Superconducting Phase Qubits