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- Title
A bound on expectation values and variances of quantum observables via Rényi entropy and Tsallis entropy.
- Authors
Zhang, Sujuan; Li, Jing
- Abstract
Entropy is a key concept of quantum information theory. The entropy of a quantum system is a measure of its randomness and has many applications in quantum communication protocols, quantum coherence, and so on. In this paper, based on the Rényi entropy and Tsallis entropy, we derive the bounds of the expectation value and variance of a quantum observable. By the maximal value of Rényi entropy, we show an upper bound on the product of variance and entropy. Furthermore, we obtain the reverse uncertainty relation for the product and sum of the variances for n observables respectively.
- Subjects
QUANTUM information theory; ENTROPY (Information theory); QUANTUM coherence; QUANTUM communication; QUANTUM entropy
- Publication
International Journal of Quantum Information, 2021, Vol 19, Issue 3, p1
- ISSN
0219-7499
- Publication type
Article
- DOI
10.1142/S0219749921500192