Rényi entropy uncertainty relation for successive projective measurements

Abstract

We investigate the uncertainty principle for two successive projective measurements in terms of Rényi entropy based on a single quantum system. Our results cover a large family of the entropy (including the Shannon entropy) uncertainty relations with a lower optimal bound. We compare our relation with other formulations of the uncertainty principle in a two-spin observables measured on a pure quantum state of qubit. It is shown that the low bound of our uncertainty relation has better tightness.

13pages,4figures, Quantum Inf Process(2015)

References in corpus (5)

• Heisenberg's Uncertainty Principle
• The uncertainty principle determines the non-locality of quantum mechanics
• Formulation of the uncertainty relations in terms of the Renyi entropies
• Entropic uncertainty relations and locking: tight bounds for mutually unbiased bases
• Some extensions of the uncertainty principle

Cited by in corpus (6)

• Multi-observable Uncertainty Relations in Product Form of Variances
• A note on uncertainty relations of arbitrary N quantum channels
• Entropic uncertainty relations for successive generalized measurements
• Sum uncertainty relations based on $(\alpha ,\beta ,\gamma )$ weighted Wigner-Yanase-Dyson skew information
• Distribution of Standard deviation of an observable among superposed states
• The effects of different quantum feedback types on the tightness of the variance-based uncertainty