/ 03 05 05 9 v 3 5 J an 2 00 4 Bounds on general entropy measures
نویسنده
چکیده
We show how to determine the maximum and minimum possible values of one measure of entropy for a given value of another measure of entropy. These maximum and minimum values are obtained for two standard forms of probability distribution (or quantum state) independent of the entropy measures, provided the entropy measures satisfy a concavity/convexity relation. These results may be applied to entropies for classical probability distributions, entropies of mixed quantum states and measures of entanglement for pure states. PACS numbers: 03.67.–a ‡ Present address: Quantum Information Science Group, Department of Physics and Astronomy, University of Calgary, Calgary, Alberta T2N 1N4, Canada. Bounds on general entropy measures 2
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ua nt - p h / 01 05 03 7 v 1 9 M ay 2 00 1 Optimal quantum measurements for spin - 1 and spin - 3 2 particles
Positive operator valued measures (POVMs) are presented that allow an unknown pure state of a spin-1 particle to be determined with optimal fidelity when 2 to 5 copies of that state are available. Optimal POVMs are also presented for a spin-3 2 particle when 2 or 3 copies of the unknown state are available. Although these POVMs are optimal they are not always minimal, indicating that there is r...
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