Collective multipolelike signatures of entanglement in symmetric N-qubit systems

Journal Article · Sun Jul 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.012322· OSTI ID:21011189

Usha Devi, A R; Prabhu, R ^[1]; Rajagopal, A K ^[2]

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1. Department of Physics, Bangalore University, Bangalore-560 056 (India)
2. Department of Computer Science and Center for Quantum Studies, George Mason University, Fairfax, Virginia 22030, USA and Inspire Institute Inc., McLean, Virginia 22101 (United States)

A cogent theory of collective multipolelike quantum correlations in symmetric multiqubit states is presented by employing SO(3) irreducible spherical tensor representation. An arbitrary bipartite division of this system leads to a family of inequalities to detect entanglement involving averages of these tensors expressed in terms of the total system angular momentum operator. Implications of this theory to the quantum nature of multipolelike correlations of all orders in the Dicke states are deduced. A selected set of examples illustrate these collective tests. Such tests detect entanglement in macroscopic atomic ensembles, where individual atoms are not accessible.

• OSTI ID: 21011189
• Journal Information: Physical Review. A, Vol. 76, Issue 1; Other Information: DOI: 10.1103/PhysRevA.76.012322; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
ANGULAR MOMENTUM OPERATORS
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUBITS
SO-3 GROUPS
SYMMETRY
SYMMETRY GROUPS