13 citations · 23 across the 4 of their papers we have counts for
7 papers
Efficient thermalization and universal quantum computing with quantum Gibbs samplers
Cambyse Rouzé, Daniel Stilck França, Ãlvaro M. Alhambra
The preparation of thermal states of matter is a crucial task in quantum simulation. In this work, we prove that a recently introduced, efficiently implementable dissipative evolut…
The product structure of MPS-under-permutations
Marta Florido-Llinà s, Ãlvaro M. Alhambra, Rahul Trivedi +3
Tensor network methods have proved to be highly effective in addressing a wide variety of physical scenarios, including those lacking an intrinsic one-dimensional geometry. In such…
Regular language quantum states
Marta Florido-Llinà s, Ãlvaro M. Alhambra, David Pérez-GarcÃa +1
We introduce regular language states, a family of quantum many-body states. They are built from a special class of formal languages, called regular, which has been thoroughly studi…
Optimal quantum algorithm for Gibbs state preparation
Cambyse Rouzé, Daniel Stilck França, Ãlvaro M. Alhambra
It is of great interest to understand the thermalization of open quantum many-body systems, and how quantum computers are able to efficiently simulate that process. A recently intr…
Conditional Independence of 1D Gibbs States with Applications to Efficient Learning
Ãlvaro M. Alhambra, Ãngela Capel, Paul Gondolf +2
We show that spin chains in thermal equilibrium have a correlation structure in which individual regions are strongly correlated at most with their near vicinity. We quantify this…
Matrix product state approximations to quantum states of low energy variance
Kshiti Sneh Rai, J. Ignacio Cirac, Ãlvaro M. Alhambra
We show how to efficiently simulate pure quantum states in one dimensional systems that have both finite energy density and vanishingly small energy fluctuations. We do so by study…