Infinite qubit rings with maximal nearest-neighbor entanglement: The Bethe ansatz solution
- Department of Physics and Astronomy, University of Aarhus, DK-8000 Aarhus C. (Denmark)
- Institut fuer Theoretische Physik III, Heinrich-Heine-Universitaet Duesseldorf, D-40225 Duesseldorf (Germany)
- ICREA and ICFO-Institut de Ciencies Fotoniques, Parc Mediterrani de la Tecnologia, E-08860 Castelldefels (Barcelona) (Spain)
We search for translationally invariant states of qubits on a ring that maximize the nearest-neighbor entanglement. This problem was initially studied by O'Connor and Wootters [Phys. Rev. A 63, 052302 (2001)]. We first map the problem to the search for the ground state of a spin-1/2 Heisenberg XXZ model. Using the exact Bethe ansatz solution in the limit N{yields}{infinity}, we prove the correctness of the assumption of O'Connor and Wootters that the state of maximal entanglement does not have any pair of neighboring spins 'down' (or, alternatively, spins 'up'). For sufficiently small fixed magnetization, however, the assumption does not hold: we identify the region of magnetizations for which the states that maximize the nearest-neighbor entanglement necessarily contain pairs of neighboring spins 'down'.
- OSTI ID:
- 20787243
- Journal Information:
- Physical Review. A, Vol. 73, Issue 5; Other Information: DOI: 10.1103/PhysRevA.73.052326; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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