Jesús Lacalle

activity

20182025

most citedQuantum codes do not fix isotropic errors

6 citations · 7 across the 2 of their papers we have counts for

collaborators

3 papers

quant-ph2025★ 6 cited

Quantum codes do not fix isotropic errors

Jesús García López de Lacalle, Luis Miguel Pozo Coronado, André L. Fonseca de Oliveira

In this work we prove that quantum error correcting codes do not fix isotropic errors, even assuming that their correction circuits do not introduce new errors. We say that a quant…

quant-ph2022★ 1 cited

Quantum codes do not increase fidelity against isotropic errors

J. Lacalle, L. M. Pozo-Coronado, A. L. Fonseca de Oliveira +1

Given an $m -$ qubit $Φ_{0}$ and an $(n, m) -$ quantum code $C$ , let $Φ$ be the $n -$ qubit that results from the $C -$ encoding of $Φ_{0}$ . Suppose that the state $Φ$ is af…

math.NT2018

Extended Lagrange's four-square theorem

Jesús Lacalle, Laura N. Gatti

Lagrange's four-square theorem states that every natural number $n$ can be represented as the sum of four integer squares: $n = x_{1}^{2} + x_{2}^{2} + x_{3}^{2} + x_{4}^{2}$ . Ramanujan generalized Lagran…