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 …
an efficient way. Given a bipartite quantum state of interest free entanglement can be …
Experimental demonstration of inequivalent mutually unbiased bases
Quantum measurements based on mutually unbiased bases (MUBs) play crucial roles in
foundational studies and quantum information processing. It is known that there exist …
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
Detecting entanglement in many-body quantum systems is crucial but challenging, typically
requiring multiple measurements. Here, we establish a class of states where measuring …
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 …
with positive partial transposition (PPT) and their properties for different dimensions. For …
Introduction to quantum entanglement in many-body systems
The quantum mechanics formalism introduced new revolutionary concepts challenging our
everyday perceptions. Arguably, quantum entanglement, which explains correlations that …
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 …
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 …
symmetric measurements. These maps are used to define entanglement witnesses, which …
How many mutually unbiased bases are needed to detect bound entangled states?
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 …
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 …
entangled states by two local observers applying measurements and utilizing classical …
Genuinely quantum solutions of the game Sudoku and their cardinality
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 …
cardinality of a quantum Sudoku (SudoQ), equal to the number of distinct vectors appearing …