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Résumé |
A quantum circuit is a way to simulate the time evolution of many-body operators where the scattering can be factorized
into two body scattering operators for the bulk and one body operators for the boundaries. Integrability is a property
where the presence of hidden symmetries in a model gives rise to a powerful toolkit to solve this model. This talk brings
these two concepts together.
Integrability in a quantum circuit means that the circuit time evolution commutes with the conserved charges of the
model giving rise to many tools to solve this model.
They present several advantages, including reduced noise propagation when compared to non-integrable circuits, as well
as the possibility to use integrability-based techniques to understand transport properties of quantum many-body
systems.
These features motivated us to systematically classify integrable quantum circuits with open boundary conditions. In this
talk, after an introduction to quantum circuits and their importance, I will present a construction of integrable boundary-
driven quantum circuits with different geometries (positions of the gates) and discuss some examples.
Based on working in progress with Miguel G. Fernández and Chiara Paletta. |
