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Quantum error-correcting codes

Authors: Pereira, Jose Eduardo Moreira Barros;

Quantum error-correcting codes

Abstract

Quantum computing is a new and exciting field of research that, using the properties of quantum mechanics, has the potential to be a disruptive technology, being able to per form certain computations faster than any classical computer, such as Shor’s factorization algorithm and Grover’s algorithm. Although there are several quantum computer with different underlying technologies, one of the main challenges of quantum computation is the occurence of errors, destroying the information and making computation impossible. Errors may have several different sources namely, thermal noise, faulty gates or incorrect measurements. The present dissertation aims to study and employ methods for reducing the effects of errors during quantum computation and correct them using Stabilizer Codes, which are a very powerful tool to produce circuit encoding networks that can, in theory, protect quantum systems from errors during transmission. A proof of concept algorithm was implemented using Qiskit, a Python based program development language for the IBM Q machines, and tested on both simulators and real systems. The algorithm is capable of, given any stabilizer in standard form, generate the circuit encoding network. Due to technological limitations associated with current quantum computers the results obtained in ibmq_guadalupe fail to show the efficacy of Stabilizer Codes.

Country
Portugal
Related Organizations
Keywords

Stabilizer codes, IBMQ, Computação quântica, Códigos estabilizadores, Quantum computing, Correcção de erros quânticos, Quantum error correction, Engenharia e Tecnologia::Engenharia Eletrotécnica, Eletrónica e Informática

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green