# Entropic uncertainty and measurement reversibility

@article{Berta2015EntropicUA, title={Entropic uncertainty and measurement reversibility}, author={Mario Berta and Stephanie Wehner and Mark M. Wilde}, journal={New Journal of Physics}, year={2015}, volume={18} }

The entropic uncertainty relation with quantum side information (EUR-QSI) from (Berta et al 2010 Nat. Phys. 6 659) is a unifying principle relating two distinctive features of quantum mechanics: quantum uncertainty due to measurement incompatibility, and entanglement. In these relations, quantum uncertainty takes the form of preparation uncertainty where one of two incompatible measurements is applied. In particular, the ‘uncertainty witness’ lower bound in the EUR-QSI is not a function of a…

## 71 Citations

### Entropic uncertainty relations in the spin-1 Heisenberg model

- PhysicsQuantum Inf. Process.
- 2019

The dynamical evolution of QMA-EUR is derived for various incompatible measurements on Pauli operators and SU(3) generators in the Heisenberg XXX and XYZ models and it is declared that the dynamics of the entropic uncertainty of interest are approximately anti-correlated with that of negativity.

### Entropic uncertainty relations for quantum information scrambling

- PhysicsCommunications Physics
- 2019

Different fields of physics characterize differently how much two quantum operations disagree: quantum information theory features uncertainty relations cast in terms of entropies. The higher an…

### Quantum-memory-assisted entropic uncertainty relation in a Heisenberg XYZ chain with an inhomogeneous magnetic field

- Physics
- 2017

The uncertainty principle provides a nontrivial bound to expose the precision for the outcome of the measurement on a pair of incompatible observables in a quantum system. Therefore, it is of…

### The Complementary Information Principle of Quantum Mechanics

- Computer Science
- 2019

A framework of black box testing consisting of pre- and post-testing with two incompatible measurements is built, introducing a rigorous mathematical expression of complementarity with definite information causality and it is proved that bounds are optimal under majorization due to the completeness of the majorization lattice.

### Exploration of quantum-memory-assisted entropic uncertainty relations in a noninertial frame

- Physics
- 2017

The uncertainty principle offers a bound to show accuracy of the simultaneous measurement outcome for two incompatible observables. In this letter, we investigate quantum-memory-assisted entropic…

### Tighter Bound of Entropic Uncertainty under the Unruh Effect

- PhysicsAnnalen der Physik
- 2020

The uncertainty principle limits the ability to simultaneously predict measurement outcomes for two non‐commuting observables of a quantum particle. However, the uncertainty can be violated by…

### Steering the measured uncertainty under decoherence through local PT-symmetric operations

- Physics
- 2018

The uncertainty principle is viewed as one of the appealing properties in the context of quantum mechanics, which intrinsically offers a lower bound with regard to the measurement outcomes of a pair…

### Probing entropic uncertainty relations under a two-atom system coupled with structured bosonic reservoirs

- PhysicsQuantum Inf. Process.
- 2018

The aim is to examine non-Markovian effects on quantum-memory-assisted entropic uncertainty relations in a system consisting of two atoms coupled with structured bosonic reservoirs and claims that the entropics uncertainty relation could be a promising tool with which to probe entanglement in current architecture.

### Entropic uncertainty for spin-1/2 XXX chains in the presence of inhomogeneous magnetic fields and its steering via weak measurement reversals

- Physics
- 2017

The uncertainty principle configures a low bound to the measuring precision for a pair of non-commuting observables, and hence is considerably nontrivial to quantum precision measurement in the field…

### Rényi formulation of uncertainty relations for POVMs assigned to a quantum design

- Computer ScienceJournal of Physics A: Mathematical and Theoretical
- 2020

Uncertainty relations in terms of min-entropies and Rényi entropies for POVMs assigned to a quantum design and relations of the Landau–Pollak type are addressed.

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