10 papers
Computable Rényi mutual information: Area laws and correlations
Samuel O. Scalet, Álvaro M. Alhambra, Georgios Styliaris +1
The mutual information is a measure of classical and quantum correlations of great interest in quantum information. It is also relevant in quantum many-body physics, by virtue of s…
Optimal Quantum Thermometry with Coarse-grained Measurements
Karen V. Hovhannisyan, Mathias R. Jørgensen, Gabriel T. Landi +3
Precise thermometry for quantum systems is important to the development of new technology, and understanding the ultimate limits to precision presents a fundamental challenge. It i…
Improved thermal area law and quasi-linear time algorithm for quantum Gibbs states
Tomotaka Kuwahara, Álvaro M. Alhambra, Anurag Anshu
One of the most fundamental problems in quantum many-body physics is the characterization of correlations among thermal states. Of particular relevance is the thermal area law, whi…
Revivals imply quantum many-body scars
Álvaro M. Alhambra, Anurag Anshu, Henrik Wilming
We derive general results relating revivals in the dynamics of quantum many-body systems to the entanglement properties of energy eigenstates. For a D-dimensional lattice system of…
Time evolution of correlation functions in quantum many-body systems
Álvaro M. Alhambra, Jonathon Riddell, Luis Pedro García-Pintos
We give rigorous analytical results on the temporal behavior of two-point correlation functions --also known as dynamical response functions or Green's functions-- in closed many-b…
Continuous groups of transversal gates for quantum error correcting codes from finite clock reference frames
Mischa P. Woods, Álvaro M. Alhambra
Following the introduction of the task of reference frame error correction, we show how, by using reference frame alignment with clocks, one can add a continuous Abelian group of t…