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 …

Provably efficient machine learning for quantum many-body problems

HY Huang, R Kueng, G Torlai, VV Albert, J Preskill - Science, 2022 - science.org
Classical machine learning (ML) provides a potentially powerful approach to solving
challenging quantum many-body problems in physics and chemistry. However, the …

Device-independent lower bounds on the conditional von Neumann entropy

P Brown, H Fawzi, O Fawzi - Quantum, 2024 - quantum-journal.org
The rates of several device-independent (DI) protocols, including quantum key-distribution
(QKD) and randomness expansion (RE), can be computed via an optimization of the …

A hybrid DQN and optimization approach for strategy and resource allocation in MEC networks

YC Wu, TQ Dinh, Y Fu, C Lin… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
We consider a multi-user multi-server mobile edge computing (MEC) network with time-
varying fading channels and formulate an offloading decision and resource allocation …

Improving efficiency and scalability of sum of squares optimization: Recent advances and limitations

AA Ahmadi, G Hall, A Papachristodoulou… - 2017 IEEE 56th …, 2017 - ieeexplore.ieee.org
It is well-known that any sum of squares (SOS) program can be cast as a semidefinite
program (SDP) of a particular structure and that therein lies the computational bottleneck for …

Joint 3-D trajectory and resource optimization in multi-UAV-enabled IoT networks with wireless power transfer

W Luo, Y Shen, B Yang, S Wang… - IEEE Internet of Things …, 2020 - ieeexplore.ieee.org
This article studies the data collection problem in an Internet-of-Things (IoT) network with
multiple unmanned aerial vehicles (UAVs) where UAVs first power multiple IoT devices by …

Security of quantum key distribution from generalised entropy accumulation

T Metger, R Renner - Nature Communications, 2023 - nature.com
The goal of quantum key distribution (QKD) is to establish a secure key between two parties
connected by an insecure quantum channel. To use a QKD protocol in practice, one has to …

Certified algorithms for equilibrium states of local quantum Hamiltonians

H Fawzi, O Fawzi, SO Scalet - Nature Communications, 2024 - nature.com
Predicting observables in equilibrium states is a central yet notoriously hard question in
quantum many-body systems. In the physically relevant thermodynamic limit, certain …

Relative entropy regularized TDLAS tomography for robust temperature imaging

Y Bao, R Zhang, G Enemali, Z Cao… - IEEE Transactions …, 2020 - ieeexplore.ieee.org
Tunable diode laser absorption spectroscopy (TDLAS) tomography has been widely used
for in situ combustion diagnostics, yielding images of both species concentration and …

Geometric Rényi divergence and its applications in quantum channel capacities

K Fang, H Fawzi - Communications in Mathematical Physics, 2021 - Springer
Having a distance measure between quantum states satisfying the right properties is of
fundamental importance in all areas of quantum information. In this work, we present a …