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Title: Effect of ancilla's structure on quantum error correction using the seven-qubit Calderbank-Shor-Steane code

Abstract

In this work we discuss the ability of different types of ancillas to control the decoherence of a qubit interacting with an environment. The error is introduced into the numerical simulation via a depolarizing isotropic channel. The ranges of values considered are 10{sup -4}{<=}{epsilon}{<=}10{sup -2} for memory errors and 3x10{sup -5}{<=}{gamma}/7{<=}10{sup -2} for gate errors. After the correction we calculate the fidelity as a quality criterion for the qubit recovered. We observe that a recovery method with a three-qubit ancilla provides reasonably good results bearing in mind its economy. If we want to go further, we have to use fault tolerant ancillas with a high degree of parallelism, even if this condition implies introducing additional ancilla verification qubits.

Authors:
 [1];  [2]
  1. Departamento Tecnologias Especiales Aplicadas a la Telecomunicacion (Spain)
  2. Departamento Fisica Aplicada a las Tecnologias de la Informacion, ETSI Telecomunicacion, UPM, Ciudad Universitaria s/n, 28040 Madrid (Spain)
Publication Date:
OSTI Identifier:
20641135
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 69; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.69.052322; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; COMPUTERIZED SIMULATION; CONTROL; CORRECTIONS; ECONOMY; ENERGY LEVELS; ERRORS; GATING CIRCUITS; INFORMATION THEORY; NUMERICAL ANALYSIS; QUANTUM MECHANICS; VERIFICATION

Citation Formats

Salas, P J, and Sanz, A L. Effect of ancilla's structure on quantum error correction using the seven-qubit Calderbank-Shor-Steane code. United States: N. p., 2004. Web. doi:10.1103/PhysRevA.69.052322.
Salas, P J, & Sanz, A L. Effect of ancilla's structure on quantum error correction using the seven-qubit Calderbank-Shor-Steane code. United States. doi:10.1103/PhysRevA.69.052322.
Salas, P J, and Sanz, A L. Sat . "Effect of ancilla's structure on quantum error correction using the seven-qubit Calderbank-Shor-Steane code". United States. doi:10.1103/PhysRevA.69.052322.
@article{osti_20641135,
title = {Effect of ancilla's structure on quantum error correction using the seven-qubit Calderbank-Shor-Steane code},
author = {Salas, P J and Sanz, A L},
abstractNote = {In this work we discuss the ability of different types of ancillas to control the decoherence of a qubit interacting with an environment. The error is introduced into the numerical simulation via a depolarizing isotropic channel. The ranges of values considered are 10{sup -4}{<=}{epsilon}{<=}10{sup -2} for memory errors and 3x10{sup -5}{<=}{gamma}/7{<=}10{sup -2} for gate errors. After the correction we calculate the fidelity as a quality criterion for the qubit recovered. We observe that a recovery method with a three-qubit ancilla provides reasonably good results bearing in mind its economy. If we want to go further, we have to use fault tolerant ancillas with a high degree of parallelism, even if this condition implies introducing additional ancilla verification qubits.},
doi = {10.1103/PhysRevA.69.052322},
journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 69,
place = {United States},
year = {2004},
month = {5}
}