Holonomic quantum computation in subsystems

We introduce a generalized method of holonomic quantum computation (HQC) based on encoding in subsystems. As an application, we propose a scheme for applying holonomic gates to unencoded qubits by the use of a noisy ancillary qubit. This scheme does not require initialization in a subspace since all...

Full description

Bibliographic Details
Published in:Physical review letters, Vol. 103, No. 9 (2009), p. 090502
Main Author: Oreshkov, Ognyan (Author)
Format: Article
Language:English
ISSN:1079-7114
Item Description:Date Completed 07.10.2009
Date Revised 01.10.2009
published: Print-Electronic
Citation Status PubMed-not-MEDLINE
Copyright: From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
Subjects:
QR Code: Show QR Code
Description:
  • We introduce a generalized method of holonomic quantum computation (HQC) based on encoding in subsystems. As an application, we propose a scheme for applying holonomic gates to unencoded qubits by the use of a noisy ancillary qubit. This scheme does not require initialization in a subspace since all dynamical effects factor out as a transformation on the ancilla. We use this approach to show how fault-tolerant HQC can be realized via 2-local Hamiltonians with perturbative gadgets