SP Seminar @ICTP Stasi Tuesday 3 July at 11am - Paolo ZANARDI

[CM Section]

Joint ICTP/SISSA Statistical Physics Seminar

Tuesday 3 July at 11:00 a.m.
Luigi Stasi Seminar Room, first floor, Leonardo Building

Speaker:
Paolo ZANARDI (Dept. of Physics & Astronomy and Center
for Quantum Information Science & Technology, University
of Southern California, Los Angeles, USA)

Title:
Coherence Generating Power of Quantum Processes

Abstract:

Given a maximal orthogonal resolution of the identity B in the Hilbert 
space

of a quantum system we define a measure of the coherence generating power

of a unital operation with respect to B. This measure is the average 
coherence

generated by the operation acting on an input  ensemble of B-diagonal 
states.

We give its explicit analytical form in any dimension andprovide an 
operational

protocol to directly detect it. We characterize the set of unitaries 
with maximal

coherence generating power and study the properties of our measure when the

unitary is drawn at random from the Haar distribution. I will conclude 
by establishing

a connection between this formalism and the Hilbert-Schmidt geometry of 
maximal

abelian algebras of operators and its application to eigenstate phase 
transitions in

interacting quantum systems e.g., many-body localization.


*References:*
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.95.052307
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.95.052306 
<https://journals.aps.org/pra/abstract/10.1103/PhysRevA.95.052306>
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.97.032304
https://aip.scitation.org/doi/10.1063/1.4997146