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Accurate density functional theory for noncovalent interactions in charged systems. [PDF]

open access: yesSci Adv
Zhao H   +6 more
europepmc   +1 more source

Hardware-efficient quantum error correction via concatenated bosonic qubits. [PDF]

open access: yesNature
Putterman H   +120 more
europepmc   +1 more source
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Perfect Quantum Error Correcting Code

Physical Review Letters, 1996
We present a quantum error correction code which protects a qubit of information against general one qubit errors. To accomplish this, we encode the original state by distributing quantum information over five qubits, the minimal number required for this task. We describe a circuit which takes the initial state with four extra qubits in the state $|0〉$
, Laflamme, , Miquel, , Paz, , Zurek
openaire   +2 more sources

Quantum error correction codes.

2022
Quantum parallel processing techniques are capable of solving certain complex problems at a substantially lower complexity than their classical counterparts. From the perspective of telecommunications, this quantum-domain parallel processing provides a plausible solution for achieving full-search based multi-stream detection, which is vital for future ...
openaire   +3 more sources

Classic and Quantum Error Correcting Codes

2008
Algebraic methods play an important role in coding theory. For instance, there are many connections between codes and groups. In this paper we will present two results that show different applications of algebraic methods in coding theory. One of them refers to the classical context and another one to the quantum error correcting theory.
Santos González   +2 more
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Quantum Error Correcting Codes

2020
In this chapter we introduce the concept of quantum error-correcting codes and show several examples chronologically. This chapter is fundamental for the development of this work, since the main aim of this book is to present several types of different constructions of quantum block and convolutional codes, as well as constructions of asymmetric ...
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Effect of quantum fluctuation in error-correcting codes

Physical Review E, 2012
We discuss the decoding performance of error-correcting codes based on a model in which quantum fluctuations are introduced by means of a transverse field. The essential issue in this paper is whether quantum fluctuations improve the decoding quality compared with the conventional estimation based on thermal fluctuations, which is called finite ...
Yosuke, Otsubo   +3 more
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Comment on “Quantum convolutional error-correcting codes”

Physical Review A, 2005
In this Comment we present a counterexample to theorems 2 and 3 from Chau [Phys. Rev. A 58, 905 (1998)] regarding quantum convolutional codes.
De Almeida, ACA, Palazzo, R, Chau, HF
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