Uncertainty relations for MUBs and SIC-POVMs in terms of generalized entropies

AE Rastegin - The European Physical Journal D, 2013 - Springer
We formulate uncertainty relations for mutually unbiased bases and symmetric
informationally complete measurements in terms of the Rényi and Tsallis entropies. For …

Geometric measures of quantum correlations: characterization, quantification, and comparison by distances and operations

W Roga, D Spehner, F Illuminati - Journal of Physics A …, 2016 - iopscience.iop.org
We investigate and compare three distinguished geometric measures of bipartite quantum
correlations that have been recently introduced in the literature: the geometric discord, the …

Jarzynski equality for quantum stochastic maps

AE Rastegin, K Życzkowski - Physical Review E, 2014 - APS
Jarzynski equality and related fluctuation theorems can be formulated for various setups.
Such an equality was recently derived for nonunitary quantum evolutions described by unital …

Frobenius-norm-based measures of quantum coherence and asymmetry

Y Yao, GH Dong, X Xiao, CP Sun - Scientific reports, 2016 - nature.com
We formulate the Frobenius-norm-based measures for quantum coherence and asymmetry
respectively. In contrast to the resource theory of coherence and asymmetry, we construct a …

Compressed quantum error mitigation

MSJ Tepaske, DJ Luitz - Physical Review B, 2023 - APS
We introduce a quantum error mitigation technique based on probabilistic error cancellation
to eliminate errors which have accumulated during the application of a quantum circuit. Our …

Notes on general SIC-POVMs

AE Rastegin - Physica Scripta, 2014 - iopscience.iop.org
An unavoidable task in quantum information processing is how to obtain data about the state
of an individual system by suitable measurements. Informationally complete measurements …

Eliminating intermediate measurements in space-bounded quantum computation

B Fefferman, Z Remscrim - Proceedings of the 53rd Annual ACM …, 2021 - dl.acm.org
A foundational result in the theory of quantum computation, known as the" principle of safe
storage," shows that it is always possible to take a quantum circuit and produce an …

On uncertainty relations and entanglement detection with mutually unbiased measurements

AE Rastegin - Open Systems & Information Dynamics, 2015 - World Scientific
We formulate some properties of a set of several mutually unbiased measurements. These
properties are used for deriving entropic uncertainty relations. Applications of mutually …

Certainty relations, mutual entanglement, and nondisplaceable manifolds

Z Puchała, Ł Rudnicki, K Chabuda, M Paraniak… - Physical Review A, 2015 - APS
We derive explicit bounds for the average entropy characterizing measurements of a pure
quantum state of size N in L orthogonal bases. Lower bounds lead to novel entropic …

Majorization entropic uncertainty relations for quantum operations

AE Rastegin, K Życzkowski - Journal of Physics A: Mathematical …, 2016 - iopscience.iop.org
Majorization uncertainty relations are derived for arbitrary quantum operations acting on a
finite-dimensional space. The basic idea is to consider submatrices of block matrices …