Semidefinite programming relaxations for quantum correlations

A Tavakoli, A Pozas-Kerstjens, P Brown… - Reviews of Modern Physics, 2024 - APS
Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …

Quantum steering: a review with focus on semidefinite programming

D Cavalcanti, P Skrzypczyk - Reports on Progress in Physics, 2016 - iopscience.iop.org
Quantum steering refers to the non-classical correlations that can be observed between the
outcomes of measurements applied on half of an entangled state and the resulting post …

Generalized quantum measurements on a higher-dimensional system via quantum walks

X Wang, X Zhan, Y Li, L **ao, G Zhu, D Qu, Q Lin… - Physical Review Letters, 2023 - APS
Quantum measurements play a fundamental role in quantum mechanics. Especially,
generalized quantum measurements provide a powerful and versatile tool to extract …

The classical-quantum boundary for correlations:<? format?> Discord and related measures

K Modi, A Brodutch, H Cable, T Paterek, V Vedral - Reviews of Modern Physics, 2012 - APS
One of the best signatures of nonclassicality in a quantum system is the existence of
correlations that have no classical counterpart. Different methods for quantifying the …

Quantum discord and its allies: a review of recent progress

A Bera, T Das, D Sadhukhan, SS Roy… - Reports on Progress …, 2017 - iopscience.iop.org
We review concepts and methods associated with quantum discord and related topics. We
also describe their possible connections with other aspects of quantum information and …

Measures and applications of quantum correlations

G Adesso, TR Bromley… - Journal of Physics A …, 2016 - iopscience.iop.org
Quantum information theory is built upon the realisation that quantum resources like
coherence and entanglement can be exploited for novel or enhanced ways of transmitting …

Optimizing shadow tomography with generalized measurements

HC Nguyen, JL Bönsel, J Steinberg, O Gühne - Physical Review Letters, 2022 - APS
Advances in quantum technology require scalable techniques to efficiently extract
information from a quantum system. Traditional tomography is limited to a handful of qubits …

Computing quantum discord is NP-complete

Y Huang - New journal of physics, 2014 - iopscience.iop.org
We study the computational complexity of quantum discord (a measure of quantum
correlation beyond entanglement), and prove that computing quantum discord is NP …

Joint measurability, einstein-podolsky-rosen steering, and bell nonlocality

MT Quintino, T Vértesi, N Brunner - Physical review letters, 2014 - APS
We investigate the relation between the incompatibility of quantum measurements and
quantum nonlocality. We show that a set of measurements is not jointly measurable (ie …

[LIVRE][B] Quantum theory from first principles: an informational approach

GM D'Ariano, G Chiribella, P Perinotti - 2017 - books.google.com
" Quantum theory is the soul of theoretical physics. It is not just a theory of specific physical
systems, but rather a new framework with universal applicability. This book shows how we …