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Stabilizer Codes and Quantum Error Correction
, 1997Controlling operational errors and decoherence is one of the major challenges facing the field of quantum computation and other attempts to create specified many-particle entangled states.
D. Gottesman
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Novel Encoding method for Quantum Error Correction
Computing and Communication Workshop and Conference, 2022Quantum error correction plays a vital role in the Quantum information process. Nowadays, the research has been increased in quantum technology and is being applied in various applications like secure communications, finance, machine learning, drug ...
Mummadi Swathi, Bhawana Rudra
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2020
Active error correction is necessary to counter the effect of noise. Classical error correction is generally used to protect transmission and storage of data, because in these conditions noise has had a chance to accumulate over space or time. Otherwise, there is no active error correction in computation because the signal levels are extremely high ...
Riccardo Bassoli +6 more
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Active error correction is necessary to counter the effect of noise. Classical error correction is generally used to protect transmission and storage of data, because in these conditions noise has had a chance to accumulate over space or time. Otherwise, there is no active error correction in computation because the signal levels are extremely high ...
Riccardo Bassoli +6 more
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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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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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2013
We look at the problem of communication of states of a finite level quantum system through a channel disturbed by noise. Such a quantum system is described by a finite dimensional complex Hilbert space \( \mathcal{H} \) and its states are density operators, in other words, positive hermitian operators of unit trace.
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We look at the problem of communication of states of a finite level quantum system through a channel disturbed by noise. Such a quantum system is described by a finite dimensional complex Hilbert space \( \mathcal{H} \) and its states are density operators, in other words, positive hermitian operators of unit trace.
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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
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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
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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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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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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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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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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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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.
openaire +1 more source