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arXiv · 0905.1249

Holonomic quantum computation in subsystems

Ognyan Oreshkov
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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.

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Ognyan Oreshkov. 2009-08-28. Holonomic quantum computation in subsystems. https://doi.org/10.1103/physrevlett.103.090502

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