Five open problems in quantum information theory

P Horodecki, Ł Rudnicki, K Życzkowski - PRX Quantum, 2022 - APS
We identify five selected open problems in the theory of quantum information, which are
rather simple to formulate, are well studied in the literature, but are technically not easy. As …

Five open problems in quantum information

P Horodecki, Ł Rudnicki, K Życzkowski - arXiv preprint arXiv:2002.03233, 2020 - arxiv.org
We identify five selected open problems in the theory of quantum information, which are
rather simple to formulate, were well-studied in the literature, but are technically not easy. As …

Unextendible maximally entangled bases and mutually unbiased bases

B Chen, SM Fei - Physical Review A—Atomic, Molecular, and Optical …, 2013 - APS
We study an unextendible maximally entangled basis in arbitrary bipartite spaces. A
systematic way of constructing a set of d 2 orthonormal maximally entangled states in C d⨂ …

[HTML][HTML] Improved bounds on some entanglement criteria in bipartite quantum systems

L Tang, F Wu - Results in Physics, 2023 - Elsevier
Entanglement detection is one of the core tasks in quantum information processing. Based
on a broad class of informationally complete symmetric measurements, a series of …

The entanglement criteria via a broad class of symmetric informationally complete measurements

L Tang - Quantum Information Processing, 2023 - Springer
The detection of entanglement is a basic problem in quantum information theory. Our goal in
this work is to study the quantum separability problem with respect to a broad class of …

Enhancing some separability criteria in many-body quantum systems

L Tang, F Wu - Physica Scripta, 2023 - iopscience.iop.org
Quantum measurements based on mutually unbiased bases, mutually unbiased
measurements and general symmetric informationally complete positive operator valued …

Entanglement detection using mutually unbiased measurements

B Chen, T Ma, SM Fei - Physical Review A, 2014 - APS
We study entanglement detection by using mutually unbiased measurements and provide a
quantum separability criterion that can be experimentally implemented for arbitrary d …

Test of mutually unbiased bases for six-dimensional photonic quantum systems

V D'Ambrosio, F Cardano, E Karimi, E Nagali… - Scientific reports, 2013 - nature.com
In quantum information, complementarity of quantum mechanical observables plays a key
role. The eigenstates of two complementary observables form a pair of mutually unbiased …

Mutually unbiased maximally entangled bases in

YH Tao, H Nan, J Zhang, SM Fei - Quantum Information Processing, 2015 - Springer
We study maximally entangled bases in bipartite systems C d⊗ C kd (k∈ Z+), which are
mutually unbiased. By systematically constructing maximally entangled bases, we present …

Bell inequality violations with random mutually unbiased bases

GNM Tabia, VSR Bavana, SX Yang, YC Liang - Physical Review A, 2022 - APS
We examine the problem of exhibiting Bell nonlocality for a two-qudit entangled pure state
using a randomly chosen set of mutually unbiased bases (MUBs). Interestingly, even if we …