Random matrix techniques in quantum information theory
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 …
techniques, and in particular, random matrix techniques in quantum information theory. Our …
[图书][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 …
and information science, and offers a variety of solutions that are impossible using classical …
Beyond islands: a free probabilistic approach
J Wang - Journal of High Energy Physics, 2023 - Springer
A bstract We give a free probabilistic proposal to compute the fine-grained radiation entropy
for an arbitrary bulk radiation state, in the context of the Penington-Shenker-Stanford-Yang …
for an arbitrary bulk radiation state, in the context of the Penington-Shenker-Stanford-Yang …
Black hole microstates vs. the additivity conjectures
P Hayden, G Penington - arXiv preprint arXiv:2012.07861, 2020 - arxiv.org
We argue that one of the following statements must be true:(a) extensive violations of
quantum information theory's additivity conjectures exist or (b) there exists a set …
quantum information theory's additivity conjectures exist or (b) there exists a set …
Almost one bit violation for the additivity of the minimum output entropy
In a previous paper, we proved that, in the appropriate asymptotic regime, the limit of the
collection of possible eigenvalues of output states of a random quantum channel is a …
collection of possible eigenvalues of output states of a random quantum channel is a …
Optimal input states for quantifying the performance of continuous-variable unidirectional and bidirectional teleportation
Continuous-variable (CV) teleportation is a fundamental protocol in quantum information
science. A number of experiments have been designed to simulate ideal teleportation under …
science. A number of experiments have been designed to simulate ideal teleportation under …
Fidelity and entanglement of random bipartite pure states: insights and applications
We investigate the fidelity of Haar random bipartite pure states from a fixed reference
quantum state and their bipartite entanglement. By plotting the fidelity and entanglement on …
quantum state and their bipartite entanglement. By plotting the fidelity and entanglement on …
Haagerup's inequality and additivity violation of the Minimum Output Entropy
B Collins - arXiv preprint arXiv:1603.00577, 2016 - arxiv.org
arXiv:1603.00577v1 [math.OA] 2 Mar 2016 Page 1 arXiv:1603.00577v1 [math.OA] 2 Mar 2016
HAAGERUP’S INEQUALITY AND ADDITIVITY VIOLATION OF THE MINIMUM OUTPUT …
HAAGERUP’S INEQUALITY AND ADDITIVITY VIOLATION OF THE MINIMUM OUTPUT …
Estimates for compression norms and additivity violation in quantum information
The free contraction norm (or the (t)-norm) was introduced by Belinschi, Collins and Nechita
as a tool to compute the typical location of the collection of singular values associated to a …
as a tool to compute the typical location of the collection of singular values associated to a …