Resource-efficient high-dimensional entanglement detection via symmetric projections

S Morelli, M Huber, A Tavakoli - Physical Review Letters, 2023 - APS
We introduce two families of criteria for detecting and quantifying the entanglement of a
bipartite quantum state of arbitrary local dimension. The first is based on measurements in …

Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments

A Tavakoli, M Farkas, D Rosset, JD Bancal… - Science …, 2021 - science.org
Mutually unbiased bases (MUBs) and symmetric informationally complete projectors (SICs)
are crucial to many conceptual and practical aspects of quantum theory. Here, we develop …

Enhanced Schmidt-number criteria based on correlation trace norms

A Tavakoli, S Morelli - Physical Review A, 2024 - APS
The Schmidt number represents the genuine entanglement dimension of a bipartite
quantum state. We derive simple criteria for the Schmidt number of a density matrix in …

Characterizing multipartite entanglement with moments of random correlations

A Ketterer, N Wyderka, O Gühne - Physical Review Letters, 2019 - APS
The experimental detection of multipartite entanglement usually requires a number of
appropriately chosen local quantum measurements that are aligned with respect to a …

Certification of a non-projective qudit measurement using multiport beamsplitters

D Martínez, ES Gómez, J Cariñe, L Pereira, A Delgado… - Nature Physics, 2023 - nature.com
The most common form of measurement in quantum mechanics projects a wavefunction
onto orthogonal states that correspond to definite outcomes. However, generalized quantum …

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 …

Witnessing entanglement in compton scattering processes via mutually unbiased bases

BC Hiesmayr, P Moskal - Scientific reports, 2019 - nature.com
We present a quantum information theoretic version of the Klein-Nishina formula. This
formulation singles out the quantity, the a priori visibility, that quantifies the ability to deduce …

Classical cost of transmitting a qubit

MJ Renner, A Tavakoli, MT Quintino - Physical Review Letters, 2023 - APS
We consider general prepare-and-measure scenarios in which Alice can transmit qubit
states to Bob, who can perform general measurements in the form of positive operator …

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 …

Detecting entanglement can be more effective with inequivalent mutually unbiased bases

BC Hiesmayr, D McNulty, S Baek, SS Roy… - New Journal of …, 2021 - iopscience.iop.org
Mutually unbiased bases (MUBs) provide a standard tool in the verification of quantum
states, especially when harnessing a complete set for optimal quantum state tomography. In …