Dynamically Correcting a CNOT Gate for any Systematic Logical Error

We derive a set of composite pulse sequences that generates cnot gates and correct all systematic errors within the logical subspace to arbitrary order. These sequences are applicable for any two-qubit interaction Hamiltonian and make no assumptions about the underlying noise mechanism except that i...

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Bibliographic Details
Published in:	Physical review letters Vol. 118; no. 15; p. 150502
Main Authors:	Calderon-Vargas, F A, Kestner, J P
Format:	Journal Article
Language:	English
Published:	United States 14-04-2017
Subjects:	Defects Dynamical systems Gates Noise Sequences Subspaces Systematic errors Time
Online Access:	Get full text
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Summary:	We derive a set of composite pulse sequences that generates cnot gates and correct all systematic errors within the logical subspace to arbitrary order. These sequences are applicable for any two-qubit interaction Hamiltonian and make no assumptions about the underlying noise mechanism except that it is constant on the time scale of the operation. We do assume access to high-fidelity single-qubit gates, so single-qubit gate imperfections eventually limit the achievable fidelity. However, since single-qubit gates generally have much higher fidelities than two-qubit gates in practice, these pulse sequences offer useful dynamical correction for a wide range of coupled qubit systems.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0031-9007 1079-7114
DOI:	10.1103/PhysRevLett.118.150502