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Accurate density functional theory for noncovalent interactions in charged systems. [PDF]
Zhao H +6 more
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Hardware-efficient quantum error correction via concatenated bosonic qubits. [PDF]
Putterman H +120 more
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QUANTUM ERROR-CORRECTING CODES
Mathematical Aspects of Quantum Computing 2007, 2008exaly +5 more sources
Perfect Quantum Error Correcting Code
Physical Review Letters, 1996We 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
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Quantum error correction codes.
2022Quantum 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 ...
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Classic and Quantum Error Correcting Codes
2008Algebraic 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
2020In 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, 2012We 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, 2005In 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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