[HTML][HTML] Self-testing of quantum systems: a review
Self-testing is a method to infer the underlying physics of a quantum experiment in a black
box scenario. As such it represents the strongest form of certification for quantum systems. In …
box scenario. As such it represents the strongest form of certification for quantum systems. In …
Weak form of self-testing
J Kaniewski - Physical Review Research, 2020 - APS
The concept of self-testing (or rigidity) refers to the fact that for certain Bell inequalities the
maximal violation can be achieved in an essentially unique manner. In this work we present …
maximal violation can be achieved in an essentially unique manner. In this work we present …
Semidefinite programming relaxations for quantum correlations
Semidefinite programs are convex optimisation problems involving a linear objective
function and a domain of positive semidefinite matrices. Over the last two decades, they …
function and a domain of positive semidefinite matrices. Over the last two decades, they …
Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments
Mutually unbiased bases (MUBs) and symmetric informationally complete projectors (SICs)
are crucial to many conceptual and practical aspects of quantum theory. Here, we develop …
are crucial to many conceptual and practical aspects of quantum theory. Here, we develop …
Scalable bell inequalities for qubit graph states and robust self-testing
Bell inequalities constitute a key tool in quantum information theory: they not only allow one
to reveal nonlocality in composite quantum systems, but, more importantly, they can be used …
to reveal nonlocality in composite quantum systems, but, more importantly, they can be used …
Custom Bell inequalities from formal sums of squares
V Barizien, P Sekatski, JD Bancal - Quantum, 2024 - quantum-journal.org
Bell inequalities play a key role in certifying quantum properties for device-independent
quantum information protocols. It is still a major challenge, however, to devise Bell …
quantum information protocols. It is still a major challenge, however, to devise Bell …
Self-testing of any pure entangled state with the minimal number of measurements and optimal randomness certification in a one-sided device-independent scenario
Certification of quantum systems and their properties has become a field of intensive study.
Here, taking advantage of the one-sided device-independent (1SDI) scenario (also known …
Here, taking advantage of the one-sided device-independent (1SDI) scenario (also known …
[HTML][HTML] Self-testing quantum systems of arbitrary local dimension with minimal number of measurements
Bell nonlocality as a resource for device-independent certification schemes has been
studied extensively in recent years. The strongest form of device-independent certification is …
studied extensively in recent years. The strongest form of device-independent certification is …
Bell inequalities as a tool to probe quantum chaos
We introduce a permutationally invariant multipartite Bell inequality for many-body three-
level systems and use it to explore a possible connection between the presence of …
level systems and use it to explore a possible connection between the presence of …
The quantum marginal problem for symmetric states: applications to variational optimization, nonlocality and self-testing
In this paper, we present a method to solve the quantum marginal problem for symmetric d-
level systems. The method is built upon an efficient semi-definite program that uses the …
level systems. The method is built upon an efficient semi-definite program that uses the …