8,920 research outputs found
Quantum Error Correction of Time-Correlated Errors
The complexity of the error correction circuitry forces us to design quantum
error correction codes capable of correcting a single error per error
correction cycle. Yet, time-correlated error are common for physical
implementations of quantum systems; an error corrected during the previous
cycle may reoccur later due to physical processes specific for each physical
implementation of the qubits. In this paper we study quantum error correction
for a restricted class of time-correlated errors in a spin-boson model. The
algorithm we propose allows the correction of two errors per error correction
cycle, provided that one of them is time-correlated. The algorithm can be
applied to any stabilizer code when the two logical qubits and
are entangled states of basis states in
.Comment: 14 pages, 3 figure
Directionality reduces the impact of epidemics in multilayer networks
The study of how diseases spread has greatly benefited from advances in
network modeling. Recently, a class of networks known as multilayer graphs has
been shown to describe more accurately many real systems, making it possible to
address more complex scenarios in epidemiology such as the interaction between
different pathogens or multiple strains of the same disease. In this work, we
study in depth a class of networks that have gone unnoticed up to now, despite
of its relevance for spreading dynamics. Specifically, we focus on directed
multilayer networks, characterized by the existence of directed links, either
within the layers or across layers. Using the generating function approach and
numerical simulations of a stochastic susceptible-infected-susceptible (SIS)
model, we calculate the epidemic threshold for these networks for different
degree distributions of the networks. Our results show that the main feature
that determines the value of the epidemic threshold is the directionality of
the links connecting different layers, regardless of the degree distribution
chosen. Our findings are of utmost interest given the ubiquitous presence of
directed multilayer networks and the widespread use of disease-like spreading
processes in a broad range of phenomena such as diffusion processes in social
and transportation systems.Comment: 20 pages including 7 figures. Submitted for publicatio
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