Decoherence, einselection, and the quantum origins of the classical

WH Zurek - Reviews of modern physics, 2003 - APS
The manner in which states of some quantum systems become effectively classical is of
great significance for the foundations of quantum physics, as well as for problems of …

Dynamics of Loschmidt echoes and fidelity decay

T Gorin, T Prosen, TH Seligman, M Žnidarič - Physics Reports, 2006 - Elsevier
Fidelity serves as a benchmark for the reliability in quantum information processes, and has
recently attracted much interest as a measure of the susceptibility of dynamics to …

Measuring the scrambling of quantum information

B Swingle, G Bentsen, M Schleier-Smith, P Hayden - Physical Review A, 2016 - APS
We provide a general protocol to measure out-of-time-order correlation functions. These
correlation functions are of broad theoretical interest for diagnosing the scrambling of …

Lyapunov exponent and out-of-time-ordered correlator's growth rate in a chaotic system

EB Rozenbaum, S Ganeshan, V Galitski - Physical review letters, 2017 - APS
It was proposed recently that the out-of-time-ordered four-point correlator (OTOC) may serve
as a useful characteristic of quantum-chaotic behavior, because, in the semiclassical limit …

Dynamical quantum phase transitions and the Loschmidt echo: A transfer matrix approach

F Andraschko, J Sirker - Physical Review B, 2014 - APS
A boundary transfer matrix formulation allows to calculate the Loschmidt echo for one-
dimensional quantum systems in the thermodynamic limit. We show that nonanalyticities in …

Pseudo-random unitary operators for quantum information processing

J Emerson, YS Weinstein, M Saraceno, S Lloyd… - science, 2003 - science.org
In close analogy to the fundamental role of random numbers in classical information theory,
random operators are a basic component of quantum information theory. Unfortunately, the …

Decoherence from spin environments

FM Cucchietti, JP Paz, WH Zurek - Physical Review A—Atomic, Molecular, and …, 2005 - APS
We examine two exactly solvable models of decoherence—a central spin-system,(i) with
and (ii) without a self-Hamiltonian, interacting with a collection of environment spins. In the …

[PDF][PDF] Loschmidt echo

A Goussev, RA Jalabert, HM Pastawski… - arXiv preprint arXiv …, 2012 - arxiv.org
arXiv:1206.6348v1 [nlin.CD] 27 Jun 2012 Page 1 arXiv:1206.6348v1 [nlin.CD] 27 Jun 2012
Loschmidt Echo Arseni Goussev1, Rodolfo A. Jalabert2, Horacio M. Pastawski3, and Diego …

Dynamical quantum phase transitions in non-Hermitian lattices

L Zhou, Q Wang, H Wang, J Gong - Physical Review A, 2018 - APS
In closed quantum systems, dynamical phase transitions are identified by the nonanalytic
behavior of the return probability as a function of time. In this work, we study the nonunitary …

Entanglement as a signature of quantum chaos

X Wang, S Ghose, BC Sanders, B Hu - … E—Statistical, Nonlinear, and Soft Matter …, 2004 - APS
We explore the dynamics of entanglement in classically chaotic systems by considering a
multiqubit system that behaves collectively as a spin system obeying the dynamics of the …