|
| related topics |
| {information, entropy, channel} |
| {vol, operators, histories} |
| {measurement, state, measurements} |
| {observables, space, algebra} |
| {state, states, entangled} |
| {algorithm, log, probability} |
| {let, theorem, proof} |
|
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
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