6 citations · 12 across the 5 of their papers we have counts for
6 papers
Effect of isotropic errors on the complexity of Grover's algorithm
Anurag Saha Roy, Jesús Lacalle
Isotropic errors have been shown to be immune to conventional error correction techniques. While general theoretical frameworks have been proposed to model such errors, there have…
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…
Variance of the sum of independent quantum computing errors
Jesús Lacalle, Luis Miguel Pozo Coronado
The sum of quantum computing errors is the key element both for the estimation and control of errors in quantum computing and for its statistical study. In this article we analyze…
Cyclic structure, vertex degree and number of linear vertices in Minimal Strong Digraphs
Miguel Arcos Argudo, Jesus Lacalle, Luis Miguel Pozo Coronado
Minimal Strong Digraphs (MSDs) can be regarded as a generalization of the concept of tree to directed graphs. Their cyclic structure and some spectral properties have been studied…
Quantum codes do not increase fidelity against isotropic errors
J. Lacalle, L. M. Pozo-Coronado, A. L. Fonseca de Oliveira +1
Given an qubit and an quantum code , let be the qubit that results from the encoding of . Suppose that the state is af…
Extended Lagrange's four-square theorem
Jesús Lacalle, Laura N. Gatti
Lagrange's four-square theorem states that every natural number can be represented as the sum of four integer squares: . Ramanujan generalized Lagran…