Non-Gaussian quantum states and where to find them

M Walschaers - PRX quantum, 2021 - APS
Gaussian states have played an important role in the physics of continuous-variable
quantum systems. They are appealing for the experimental ease with which they can be …

[КНИГА][B] Probabilistic and statistical aspects of quantum theory

AS Holevo - 2011 - books.google.com
This book is devoted to aspects of the foundations of quantum mechanics in which
probabilistic and statistical concepts play an essential role. The main part of the book …

[КНИГА][B] Quantum entropy and its use

M Ohya, D Petz - 2004 - books.google.com
Entropy is a concept which appears in several fields and it is in the center of interest both in
mathematical and physical subjects, sometimes even at other places, for example in …

When is the Wigner quasi-probability density non-negative?

RL Hudson - Reports on Mathematical Physics, 1974 - Elsevier
WHEN IS THE WIGNER QUASI-PROBABILITY University of Nottingham, Nottingham,
DENSITY NON-NEGATIVE? Great Britain lity density t@ b Page 1 Vol. 6 (1974) REPORTS 0.V …

[КНИГА][B] An introduction to quantum stochastic calculus

KR Parthasarathy - 2012 - books.google.com
" Elegantly written, with obvious appreciation for fine points of higher mathematics... most
notable is [the] author's effort to weave classical probability theory into [a] quantum …

[КНИГА][B] Combinatorial theory of the free product with amalgamation and operator-valued free probability theory

R Speicher - 1998 - books.google.com
Free probability theory, introduced by Voiculescu, has developed very actively in the last few
years and has had an increasing impact on quite different fields in mathematics and physics …

Exact relaxation in a class of nonequilibrium quantum lattice systems

M Cramer, CM Dawson, J Eisert, TJ Osborne - Physical Review Letters, 2008 - APS
A reasonable physical intuition in the study of interacting quantum systems says that,
independent of the initial state, the system will tend to equilibrate. In this work we introduce …

An example of a generalized Brownian motion

M Bożejko, R Speicher - Communications in Mathematical Physics, 1991 - Springer
We present an example of a generalized Brownian motion. It is given by creation and
annihilation operators on a “twisted” Fock space of L 2 (ℝ). These operators fulfill (for a …

Extremality of Gaussian quantum states

MM Wolf, G Giedke, JI Cirac - Physical review letters, 2006 - APS
We investigate Gaussian quantum states in view of their exceptional role within the space of
all continuous variables states. A general method for deriving extremality results is provided …

[КНИГА][B] Quantum probability and spectral analysis of graphs

A Hora, N Obata - 2007 - books.google.com
It is a great pleasure for me that the new Springer Quantum Probability Programmeisopenedbythepresentmonogra…
Obata. In fact this book epitomizes several distinctive features of contemporary quantum …