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related topics |
{information, entropy, channel} |
{vol, operators, histories} |
{measurement, state, measurements} |
{observables, space, algebra} |
{state, states, entangled} |
{algorithm, log, probability} |
{let, theorem, proof} |
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Entropic uncertainty relations for incomplete sets of mutually unbiased
observables
Adam Azarchs
abstract: Entropic uncertainty relations, based on sums of entropies of probability
distributions arising from different measurements on a given pure state, can be
seen as a generalization of the Heisenberg uncertainty relation that is in many
cases a more useful way to quantify incompatibility between observables. Of
particular interest are relationships between `mutually unbiased' observables,
which are maximally incompatible. Lower bounds on the sum of entropies for sets
of two such observables, and for complete sets of observables within a space of
given dimension, have been found. This paper explores relations in the
intermediate regime of large, but far from complete, sets of unbiased
observables.
- oai_identifier:
- oai:arXiv.org:quant-ph/0412083
- categories:
- quant-ph
- comments:
- 4 pages, 1 figure
- arxiv_id:
- quant-ph/0412083
- created:
- 2004-12-10
Full article ▸
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