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Quantum Error Correction

2021
DiVincenzo criterion #5 from Chap. 18 states that the qubit lifetimes should be long compared to the duration of the algorithm. However, quantum systems are fragile. Unwanted external perturbations from the environment (e.g., electromagnetic waves, thermal excitations, charge, etc.) can interact with the quantum system, such that the system becomes ...
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Quantum Error Correction

2011
In this chapter, we discuss the basic theory of quantum error-correcting codes, fault-tolerant quantum computation, and the threshold theorem.
Masanori Ohya, Igor Volovich
openaire   +2 more sources

Quantum Error Correction

2015
A quantum system can never be seen as being completely isolated from its environment, thereby permanently causing disturbance to the state of the system. The resulting noise problem threatens quantum computers and their great promise, namely, to provide a computational advantage over classical computers for certain problems (see also the cross ...
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Quantum Error Correction

2006
A mathematical model of computation is an idealized abstraction. We design algorithms and perform analysis on the assumption that the mathematical operations we specify will be carried out exactly, and without error. Physical devices that implement an abstract model of computation are imperfect and of limited precision.
Phillip Kaye   +2 more
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Quantum Error Corrections

2020
This chapter briefly discusses error-correction algorithms. In an ideal quantum computer, these are not needed nor are they needed in algorithm development. They are included to make the reader aware of the nature of the problems quantum computer designers face and how some of them can be solved algorithmically.
openaire   +1 more source

Quantum Error Correction

2023
Belal Ehsan Baaquie, Leong-Chuan Kwek
openaire   +1 more source

Quantum error correction

2014
AbstractThis chapter treats the subject of quantum error correction and fault-tolerant quantum computation. In particular, it presents the various representations of open-system quantum dynamics, insisting on the indistinguishability between different unravelings.
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Quantum guidelines for solid-state spin defects

Nature Reviews Materials, 2021
Gary Wolfowicz   +2 more
exaly  

Weyl, Dirac and high-fold chiral fermions in topological quantum matter

Nature Reviews Materials, 2021
M Zahid Hasan   +2 more
exaly  

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