Free versus bound entanglement, a NP-hard problem tackled by machine learning

BC Hiesmayr - Scientific Reports, 2021 - nature.com
Entanglement detection in high dimensional systems is a NP-hard problem since it is lacking
an efficient way. Given a bipartite quantum state of interest free entanglement can be …

Experimental demonstration of inequivalent mutually unbiased bases

WZ Yan, Y Li, Z Hou, H Zhu, GY Xiang, CF Li… - Physical Review Letters, 2024 - APS
Quantum measurements based on mutually unbiased bases (MUBs) play crucial roles in
foundational studies and quantum information processing. It is known that there exist …

Separability criterion using one observable for special states: Entanglement detection via quantum quench

R Ghosh, S Bose - Physical Review Research, 2024 - APS
Detecting entanglement in many-body quantum systems is crucial but challenging, typically
requiring multiple measurements. Here, we establish a class of states where measuring …

Comparing bound entanglement of bell diagonal pairs of qutrits and ququarts

C Popp, BC Hiesmayr - Scientific Reports, 2023 - nature.com
We compare the classification as entangled or separable of Bell diagonal bipartite qudits
with positive partial transposition (PPT) and their properties for different dimensions. For …

Introduction to quantum entanglement in many-body systems

AK Srivastava, G Müller-Rigat, M Lewenstein… - New Trends and …, 2024 - Springer
The quantum mechanics formalism introduced new revolutionary concepts challenging our
everyday perceptions. Arguably, quantum entanglement, which explains correlations that …

Special features of the Weyl–Heisenberg Bell basis imply unusual entanglement structure of Bell-diagonal states

C Popp, BC Hiesmayr - New Journal of Physics, 2024 - iopscience.iop.org
Bell states are of crucial importance for entanglement based methods in quantum
information science. Typically, a standard construction of a complete orthonormal Bell-basis …

Indecomposability of entanglement witnesses constructed from symmetric measurements

K Siudzińska - Scientific Reports, 2022 - nature.com
We propose a family of positive maps constructed from a recently introduced class of
symmetric measurements. These maps are used to define entanglement witnesses, which …

How many mutually unbiased bases are needed to detect bound entangled states?

J Bae, A Bera, D Chruściński… - Journal of Physics A …, 2022 - iopscience.iop.org
From a practical perspective it is advantageous to develop methods that verify entanglement
in quantum states with as few measurements as possible. In this paper we investigate the …

Bound entanglement is not Lorentz invariant

P Caban, BC Hiesmayr - Scientific Reports, 2023 - nature.com
Bound entanglement, in contrast to free entanglement, cannot be distilled into maximally
entangled states by two local observers applying measurements and utilizing classical …

Genuinely quantum solutions of the game Sudoku and their cardinality

J Paczos, M Wierzbiński, G Rajchel-Mieldzioć… - Physical Review A, 2021 - APS
We expand the quantum variant of the popular game Sudoku by introducing the notion of
cardinality of a quantum Sudoku (SudoQ), equal to the number of distinct vectors appearing …