Renyi and Tsallis formulations of noise-disturbance trade-off relations
| Autor: | Alexey E. Rastegin |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Nuclear and High Energy Physics
Noise pollution General Physics and Astronomy Statistical and Nonlinear Physics Trade-off 01 natural sciences 010305 fluids & plasmas Theoretical Computer Science Computational Theory and Mathematics 0103 physical sciences Applied mathematics 010306 general physics Mathematical Physics Mathematics |
| Zdroj: | Quantum Information and Computation. 16:313-331 |
| ISSN: | 1533-7146 |
| DOI: | 10.26421/qic16.3-4-7 |
| Popis: | We address an information-theoretic approach to noise and disturbance in quantum measurements. Properties of corresponding probability distributions are characterized by means of both the R´enyi and Tsallis entropies. Related information-theoretic measures of noise and disturbance are introduced. These definitions are based on the concept of conditional entropy. To motivate introduced measures, some important properties of the conditional R´enyi and Tsallis entropies are discussed. There exist several formulations of entropic uncertainty relations for a pair of observables. Trade-off relations for noise and disturbance are derived on the base of known formulations of such a kind. |
| Databáze: | OpenAIRE |
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