activity
20202024
most citedShallow shadows: Expectation estimation using low-depth random Clifford circuits

58 citations · 99 across the 5 of their papers we have counts for

collaborators

6 papers

quant-ph2024★ 4 cited

Typical thermalization of low-entanglement states

Christian Bertoni, Clara Wassner, Giacomo Guarnieri +1

Proving thermalization from the unitary evolution of a closed quantum system is one of the oldest questions that is still nowadays only partially resolved. Several efforts have led…

quant-ph2022★ 58 cited

Shallow shadows: Expectation estimation using low-depth random Clifford circuits

Christian Bertoni, Jonas Haferkamp, Marcel Hinsche +3

We provide practical and powerful schemes for learning many properties of an unknown n-qubit quantum state using a sparing number of copies of the state. Specifically, we present a…

cond-mat.dis-nn2022★ 8 cited

Local integrals of motion and the stability of many-body localisation in Wannier-Stark potentials

C. Bertoni, J. Eisert, A. Kshetrimayum +2

Many-body localisation in disordered systems in one spatial dimension is typically understood in terms of the existence of an extensive number of (quasi)-local integrals of motion…

cond-mat.stat-mech2021

Minimizing couplings in renormalization by preserving short-range mutual information

Christian Bertoni, Joseph M. Renes

The connections between renormalization in statistical mechanics and information theory are intuitively evident, but a satisfactory theoretical treatment remains elusive. Recently,…

quant-ph2021★ 29 cited

Emergent statistical mechanics from properties of disordered random matrix product states

Jonas Haferkamp, Christian Bertoni, Ingo Roth +1

The study of generic properties of quantum states has led to an abundance of insightful results. A meaningful set of states that can be efficiently prepared in experiments are grou…

quant-ph2020

Entropic time-energy uncertainty relations: An algebraic approach

Christian Bertoni, Yuxiang Yang, Joseph M. Renes

We address entropic uncertainty relations between time and energy or, more precisely, between measurements of an observable and the displacement of the -generated evolut…