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Certainty relations...
Abstract
Ämnesord
Stäng
- We 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.
Nyckelord
- mutually unbiased bases
- double-slit experiment
- uncertainty relations
- state determination
- quantum erasure
- complementarity
- principle
- particle
- wave
- information
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