Sun, Qingqing; Nha, Hyunchul; Zubairy, M. Suhail Entanglement criteria and nonlocality for multimode continuous-variable systems. (English) Zbl 1255.81076 Phys. Rev. A (3) 80, No. 2, Article ID 020101, 4 p. (2009). Summary: We demonstrate how to efficiently derive a broad class of inequalities for entanglement detection in multimode continuous variable systems. The separability conditions are established from partial transposition (PT) in combination with several distinct necessary conditions for a quantum physical state, which include previously established inequalities as special cases. Remarkably, our method enables us to support Peres’ conjecture to its full generality within the framework of the Cavalcanti-Foster-Reid-Drummond multipartite Bell inequality [E. G. Cavalcanti et al., Phys. Rev. Lett. 99, No. 21, Article ID 210405 (2007; Zbl 1255.81055)] that the nonlocality necessarily implies negative PT entangled states Cited in 2 Documents MSC: 81P40 Quantum coherence, entanglement, quantum correlations Keywords:inequalities; entanglement detection Citations:Zbl 1255.81055 PDFBibTeX XMLCite \textit{Q. Sun} et al., Phys. Rev. A (3) 80, No. 2, Article ID 020101, 4 p. (2009; Zbl 1255.81076) Full Text: DOI arXiv References: [1] DOI: 10.1103/PhysRevLett.77.1413 · Zbl 0947.81003 · doi:10.1103/PhysRevLett.77.1413 [2] DOI: 10.1016/S0375-9601(96)00706-2 · Zbl 1037.81501 · doi:10.1016/S0375-9601(96)00706-2 [3] DOI: 10.1103/PhysRevLett.84.2726 · doi:10.1103/PhysRevLett.84.2726 [4] DOI: 10.1103/PhysRevLett.84.2722 · doi:10.1103/PhysRevLett.84.2722 [5] DOI: 10.1103/PhysRevLett.88.120401 · doi:10.1103/PhysRevLett.88.120401 [6] DOI: 10.1103/PhysRevLett.86.3658 · doi:10.1103/PhysRevLett.86.3658 [7] DOI: 10.1103/PhysRevLett.96.050503 · doi:10.1103/PhysRevLett.96.050503 [8] DOI: 10.1088/1367-2630/7/1/211 · doi:10.1088/1367-2630/7/1/211 [9] DOI: 10.1103/PhysRevA.74.012317 · doi:10.1103/PhysRevA.74.012317 [10] DOI: 10.1103/PhysRevA.68.032103 · doi:10.1103/PhysRevA.68.032103 [11] DOI: 10.1103/PhysRevLett.92.117903 · doi:10.1103/PhysRevLett.92.117903 [12] DOI: 10.1103/PhysRevLett.95.230502 · doi:10.1103/PhysRevLett.95.230502 [13] DOI: 10.1103/PhysRevA.74.032333 · doi:10.1103/PhysRevA.74.032333 [14] DOI: 10.1103/PhysRevLett.96.200403 · doi:10.1103/PhysRevLett.96.200403 [15] DOI: 10.1103/PhysRevA.76.014305 · doi:10.1103/PhysRevA.76.014305 [16] DOI: 10.1103/PhysRevLett.101.130402 · doi:10.1103/PhysRevLett.101.130402 [17] DOI: 10.1103/PhysRevA.74.030302 · doi:10.1103/PhysRevA.74.030302 [18] DOI: 10.1103/PhysRevA.75.012311 · doi:10.1103/PhysRevA.75.012311 [19] DOI: 10.1088/0953-4075/41/1/015505 · doi:10.1088/0953-4075/41/1/015505 [20] DOI: 10.1103/PhysRevA.78.052317 · doi:10.1103/PhysRevA.78.052317 [21] DOI: 10.1103/PhysRevLett.99.210405 · Zbl 1255.81055 · doi:10.1103/PhysRevLett.99.210405 [22] DOI: 10.1103/PhysRevA.64.032112 · doi:10.1103/PhysRevA.64.032112 [23] DOI: 10.1103/PhysRevLett.88.027901 · doi:10.1103/PhysRevLett.88.027901 [24] DOI: 10.1103/PhysRevLett.97.050503 · doi:10.1103/PhysRevLett.97.050503 [25] DOI: 10.1103/PhysRevLett.101.040404 · doi:10.1103/PhysRevLett.101.040404 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.