Error correction in short time steps during the application of quantum gates

Journal Article · Fri Apr 15 00:00:00 EDT 2016 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2016.01.014· OSTI ID:22560310

Castro, L.A. de,; Napolitano, R. D.J.

We propose a modification of the standard quantum error-correction method to enable the correction of errors that occur due to the interaction with a noisy environment during quantum gates without modifying the codification used for memory qubits. Using a perturbation treatment of the noise that allows us to separate it from the ideal evolution of the quantum gate, we demonstrate that in certain cases it is necessary to divide the logical operation in short time steps intercalated by correction procedures. A prescription of how these gates can be constructed is provided, as well as a proof that, even for the cases when the division of the quantum gate in short time steps is not necessary, this method may be advantageous for reducing the total duration of the computation.

• OSTI ID: 22560310
• Journal Information: Annals of Physics, Vol. 367, Issue Complete; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CALCULATION METHODS
CORRECTIONS
DISTURBANCES
EVOLUTION
MODIFICATIONS
NOISE
OPERATION
PERTURBATION THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
QUBITS