Random matrix techniques in quantum information theory

By Benoît Collins, Ion Nechita. 2015

140 citations recorded by the source corpus.

The purpose of this review article is to present some of the latest developments using random techniques, and in particular, random matrix techniques in quantum information theory. Our review is a blend of a rather exhaustive review, combined with more detailed examples -- coming from research projects in which the authors were involved. We focus on two main topics, random quantum states and random quantum channels. We present results related to entropic quantities, entanglement of typical states, entanglement thresholds, the output set of quantum channels, and violations of the minimum output entropy of random channels.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/35e41e1f6b9efb662b7baecd9a4b1c1c017b35d8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Sepehr Nezami
2. Zhao Yang
3. Nathaniel Thomas
4. Michael Walter
5. Patrick M. Hayden
6. Xiao-Liang Qi
7. Andreas J. Winter
8. Aram Wettroth Harrow

In Atomic and Molecular Physics, and Optics

1. Xiao-Liang Qi
2. Sepehr Nezami
3. Zhao Yang
4. Nathaniel Thomas
5. Michael Walter
6. Patrick M. Hayden
7. D. Harlow
8. A. Nahum

In Statistics and Probability

1. Patrick M. Hayden

Citations in the corpus

• Holographic duality from random tensor networks (2016, background): “, the recent review [13] and references therein).”