R Garcia Diaz et al 2005 New J. Phys. 7 256 doi:10.1088/1367-2630/7/1/256
Certainty relations between local and nonlocal observables
R Garcia Diaz1, J L Romero1, G Björk1 and M Bourennane2
Show affiliationsWe point out that for an arbitrary number of identical particles, each defined on a Hilbert space of arbitrary dimension, there exists a whole ladder of relations of complementarity between certain local and nonlocal measurements corresponding to every conceivable grouping of the particles, e.g., the more accurately we can know (by a measurement) some joint property of three qubits (projecting the state onto a tripartite-entangled state), the less accurate some other property, local to the three qubits, becomes. We investigate the relation between these complementarity relations and a similar relation based on interference visibilities. We also show that the complementarity relations are particularly tight for particles defined on prime dimensional Hilbert spaces.
- PACS
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03.67.Lx Quantum computation architectures and implementations
- Subjects
- Dates
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Issue 1 (December 2005)
Received 19 August 2005
Published 29 December 2005
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Certainty relations between local and nonlocal observables
R Garcia Diaz et al 2005 New J. Phys. 7 256
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