Criterion for testing multiparticle negative-partial-transpose entanglement

Journal Article · Wed Oct 01 04:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.042316· OSTI ID:20640303

Zeng, B ^[1]; Zhou, D L ^[2]; Zhang, P ^[3]; Xu, Z ^[1]; You, L ^[3]

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1. Department of Physics, Tsinghua University, Beijing 100084 (China)
2. Center for Advanced Study, Tsinghua University, Beijing 100084 (China)
3. Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080 (China)

We revisit the criterion of multiparticle entanglement based on the overlaps of a given quantum state {rho} with maximally entangled states. For a system of m particles, each with N distinct states, we prove that {rho} is m-particle negative partial transpose entangled, if there exists a maximally entangled state vertical bar MES>, such that <MES vertical bar {rho} vertical bar MES>>1/N. While this sufficiency condition is weaker than the Peres-Horodecki criterion in all cases, it applies to multi-particle systems, and becomes especially useful when the number of particles (m) is large. We also consider the converse of this criterion and illustrate its invalidity with counter examples.

• OSTI ID: 20640303
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 68; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

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