An optimal entropic uncertainty relation in a two-dimensional Hilbert space
classification
🪐 quant-ph
keywords
entropicuncertaintyhilbertoptimalrelationspacetwo-dimensionalappeared
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We derive an optimal entropic uncertainty relation for an arbitrary pair of observables in a two-dimensional Hilbert space. Such a result, for the simple case we are considering, definitively improves all the entropic uncertainty relations which have appeared in the literature.
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