Holonomic Quantum Computation in Subsystems

TitleHolonomic Quantum Computation in Subsystems
Publication TypeJournal Article
Year of Publication2009
AuthorsOreshkov, O
JournalPhysical Review Letters
Volume103
Issue9
Pagination090502
ISSN0031-9007
Abstract

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.

URLhttp://prl.aps.org/abstract/PRL/v103/i9/e090502
DOI10.1103/PhysRevLett.103.090502
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