Random matrix techniques in quantum information theory

B Collins, I Nechita - Journal of Mathematical Physics, 2016 - pubs.aip.org
The purpose of this review is to present some of the latest developments using random
techniques, and in particular, random matrix techniques in quantum information theory. Our …

Volume-law entanglement entropy of typical pure quantum states

E Bianchi, L Hackl, M Kieburg, M Rigol, L Vidmar - PRX Quantum, 2022 - APS
The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

[KSIĄŻKA][B] Geometry of quantum states: an introduction to quantum entanglement

I Bengtsson, K Życzkowski - 2017 - books.google.com
Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …

Bayesian tomography of high-dimensional on-chip biphoton frequency combs with randomized measurements

HH Lu, KV Myilswamy, RS Bennink, S Seshadri… - Nature …, 2022 - nature.com
Owing in large part to the advent of integrated biphoton frequency combs, recent years have
witnessed increased attention to quantum information processing in the frequency domain …

Neural-network quantum state tomography

D Koutný, L Motka, Z Hradil, J Řeháček… - Physical Review A, 2022 - APS
We revisit the application of neural networks to quantum state tomography. We confirm that
the positivity constraint can be successfully implemented with trained networks that convert …

A quantum-bit encoding converter

T Darras, BE Asenbeck, G Guccione, A Cavaillès… - Nature …, 2023 - nature.com
From telecommunications to computing architectures, the realm of classical information
hinges on converter technology to enable the exchange of data between digital and …

Generating random density matrices

K Życzkowski, KA Penson, I Nechita… - Journal of Mathematical …, 2011 - pubs.aip.org
We study various methods to generate ensembles of random density matrices of a fixed size
N, obtained by partial trace of pure states on composite systems. Structured ensembles of …

Practical bayesian tomography

C Granade, J Combes, DG Cory - New Journal of Physics, 2016 - iopscience.iop.org
In recent years, Bayesian methods have been proposed as a solution to a wide range of
issues in quantum state and process tomography. State-of-the-art Bayesian tomography …

Deep learning of quantum entanglement from incomplete measurements

D Koutný, L Ginés, M Moczała-Dusanowska… - Science …, 2023 - science.org
The quantification of the entanglement present in a physical system is of paramount
importance for fundamental research and many cutting-edge applications. Now, achieving …

Quantum state tomography of a single qubit: comparison of methods

R Schmied - Journal of Modern Optics, 2016 - Taylor & Francis
The tomographic reconstruction of the state of a quantum-mechanical system is an essential
component in the development of quantum technologies. We present an overview of …