Classification and reconstruction of optical quantum states with deep neural networks

S Ahmed, C Sánchez Muñoz, F Nori, AF Kockum - Physical Review Research, 2021 - APS
We apply deep-neural-network-based techniques to quantum state classification and
reconstruction. Our methods demonstrate high classification accuracies and reconstruction …

Superfast maximum-likelihood reconstruction for quantum tomography

J Shang, Z Zhang, HK Ng - Physical Review A, 2017 - APS
Conventional methods for computing maximum-likelihood estimators (MLE) often converge
slowly in practical situations, leading to a search for simplifying methods that rely on …

Quantum process tomography via completely positive and trace-preserving projection

GC Knee, E Bolduc, J Leach, EM Gauger - Physical Review A, 2018 - APS
We present an algorithm for projecting superoperators onto the set of completely positive,
trace-preserving maps. When combined with gradient descent of a cost function, the …

Efficient factored gradient descent algorithm for quantum state tomography

Y Wang, L Liu, S Cheng, L Li, J Chen - Physical Review Research, 2024 - APS
Reconstructing the state of quantum many-body systems is of fundamental importance in
quantum information tasks, but extremely challenging due to the curse of dimensionality. In …

Projected gradient descent algorithms for quantum state tomography

E Bolduc, GC Knee, EM Gauger, J Leach - npj Quantum Information, 2017 - nature.com
Accurate quantum tomography is a vital tool in both fundamental and applied quantum
science. It is a task that involves processing a noisy measurement record in order to …

Provable compressed sensing quantum state tomography via non-convex methods

A Kyrillidis, A Kalev, D Park, S Bhojanapalli… - npj Quantum …, 2018 - nature.com
With nowadays steadily growing quantum processors, it is required to develop new quantum
tomography tools that are tailored for high-dimensional systems. In this work, we describe …

[图书][B] Multivariate data analysis on matrix manifolds

N Trendafilov, M Gallo - 2021 - Springer
We want to start with few remarks predating considerably the emerging of the idea for writing
this book and our collaboration in general. They are related to the first author's own …

Thermodynamically ideal quantum state inputs to any device

PM Riechers, C Gupta, A Kolchinsky, M Gu - PRX Quantum, 2024 - APS
We investigate and ascertain the ideal inputs to any finite-time physical process. We
demonstrate that the expectation values of entropy flow, heat, and work can all be …

Fast quantum state reconstruction via accelerated non-convex programming

JL Kim, G Kollias, A Kalev, KX Wei, A Kyrillidis - Photonics, 2023 - mdpi.com
We propose a new quantum state reconstruction method that combines ideas from
compressed sensing, non-convex optimization, and acceleration methods. The algorithm …

Revisiting online quantum state learning

F Yang, J Jiang, J Zhang, X Sun - Proceedings of the AAAI Conference on …, 2020 - aaai.org
In this paper, we study the online quantum state learning problem which is recently
proposed by Aaronson et al.(2018). In this problem, the learning algorithm sequentially …