We extend the mathematical theory of quantum hypothesis testing to the general W*-
algebraic setting and explore its relation with recent developments in non-equilibrium …

We consider the problem of discriminating between two different states of a finite quantum
system in the setting of large numbers of copies, and find a closed form expression for the …

In the asymptotic theory of quantum hypothesis testing, the minimal error probability of the
first kind jumps sharply from zero to one when the error exponent of the second kind passes …

Given many independent and identically-distributed (iid) copies of a quantum system
described either by the state ρ or σ (called null and alternative hypotheses, respectively) …

Properties of random mixed states of dimension N distributed uniformly with respect to the
Hilbert-Schmidt measure are investigated. We show that for large N, due to the …

In this paper we extend the results of Lenci and Rey-Bellet [J. Stat. Phys. 119, 715 (2005)] on
the large deviation upper bound of the distribution measures of local Hamiltonians with …

We study various error exponents in a binary hypothesis testing problem and extend recent
results on the quantum Chernoff and Hoeffding bounds for product states to a setting when …

Quantum Stein's lemma is a cornerstone of quantum statistics and concerns the problem of
correctly identifying a quantum state, given the knowledge that it is one of two specific states …

We recover, expand, and unify quantum (and classical) large deviation results for lattice
Gibbs states. The main new ingredient in this paper is a control on the overlap of spectral …

The theory of quantum jump trajectories provides a new framework for understanding
dynamical phase transitions in open systems. A candidate for such transitions is the atom …