Semidefinite programming relaxations for quantum correlations
Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …
function and a domain of positive-semidefinite matrices. Over the past two decades, they …
Probing quantum correlations in many-body systems: a review of scalable methods
In both classical and quantum many-body physics, it is a core issue to characterize statistical
correlations among different degrees of freedom. From this point of view, a natural question …
correlations among different degrees of freedom. From this point of view, a natural question …
Demonstration of Shor's factoring algorithm for N 21 on IBM quantum processors
U Skosana, M Tame - Scientific reports, 2021 - nature.com
We report a proof-of-concept demonstration of a quantum order-finding algorithm for
factoring the integer 21. Our demonstration involves the use of a compiled version of the …
factoring the integer 21. Our demonstration involves the use of a compiled version of the …
Quantum inflation: A general approach to quantum causal compatibility
Causality is a seminal concept in science: Any research discipline, from sociology and
medicine to physics and chemistry, aims at understanding the causes that could explain the …
medicine to physics and chemistry, aims at understanding the causes that could explain the …
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 …
Decision diagrams for quantum measurements with shallow circuits
We consider the problem of estimating quantum observables on a collection of qubits, given
as a linear combination of Pauli operators, with shallow quantum circuits consisting of single …
as a linear combination of Pauli operators, with shallow quantum circuits consisting of single …
Bounding the sets of classical and quantum correlations in networks
We present a method that allows the study of classical and quantum correlations in networks
with causally independent parties, such as the scenario underlying entanglement swap** …
with causally independent parties, such as the scenario underlying entanglement swap** …
Semi-definite programming and quantum information
P Mironowicz - Journal of Physics A: Mathematical and …, 2024 - iopscience.iop.org
This paper presents a comprehensive exploration of semi-definite programming (SDP)
techniques within the context of quantum information. It examines the mathematical …
techniques within the context of quantum information. It examines the mathematical …
Proofs of network quantum nonlocality in continuous families of distributions
The study of nonlocality in scenarios that depart from the bipartite Einstein-Podolsky-Rosen
setup is allowing one to uncover many fundamental features of quantum mechanics …
setup is allowing one to uncover many fundamental features of quantum mechanics …
Machine learning detection of bell nonlocality in quantum many-body systems
DL Deng - Physical review letters, 2018 - APS
Machine learning, the core of artificial intelligence and big data science, is one of today's
most rapidly growing interdisciplinary fields. Recently, machine learning tools and …
most rapidly growing interdisciplinary fields. Recently, machine learning tools and …