Correlation-tensor criteria for genuine multiqubit entanglement

Journal Article · Thu Dec 15 04:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.062305· OSTI ID:22095565

Laskowski, Wieslaw; Markiewicz, Marcin; Zukowski, Marek ^[1]; Paterek, Tomasz ^[2]

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1. Institute of Theoretical Physics and Astrophysics, University of Gdansk, 80-952 Gdansk (Poland)
2. Centre for Quantum Technologies, National University of Singapore, Singapore 117543 (Singapore)

We present a development of a geometric approach to entanglement indicators. The method is applied to detect genuine multiqubit entanglement. The criteria are given in the form of nonlinear conditions imposed on correlation tensors. Thus they involve directly observable quantities, and in some cases require only few specific measurements to find multiqubit entanglement. The nonlinearity of each of the criteria allows detection of entanglement in wide classes of states. In contrast to entanglement witnesses, which in the space of Hermitian operators define a hyperplane, these conditions define a geometric figure encapsulating the nonfully entangled states within it.

• OSTI ID: 22095565
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATIONS
HERMITIAN OPERATORS
NONLINEAR PROBLEMS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUANTUM STATES
QUBITS
TENSORS