Measurable concurrence of mixed states

2008/01/07 by Chang‐shui Yu, Chang-shui Yu, C. Li +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Bipartite graph #Cluster state #Concurrence #Discrete mathematics #Graph #Mathematics #Observable #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum state #Quantum tomography #Qubit #State (computer science) #Tangle #quant-ph

paper · pdf · doi:10.1103/physreva.77.012305

published as Phys. Rev. A 77, 012305 (2008) · 3 pages

openalex publication_date 2008/01/07 · arxiv created 2008/01/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that bipartite concurrence for rank-2 mixed states of qubits is written by an observable which can be exactly and directly measurable in experiment by local projective measurements, provided that four copies of the composite quantum system are available. In addition, for a tripartite quantum pure state of qubits, the 3-tangle is also shown to be measurable only by projective measurements on the reduced density matrices of a pair of qubits conditioned on four copies of the state.

Citations

• Adaptive User Modeling in a Content-Based Music Retrieval System
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Separability Criterion for Density Matrices
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Entanglement of a Pair of Quantum Bits
• Scalable multi-particle entanglement of trapped ions
• Separability of mixed states: necessary and sufficient conditions
• Distributed Entanglement

Cited by

• Observable estimation of entanglement for arbitrary finite-dimensional mixed states