# Holonomic quantum computation in subsystems.

@article{Oreshkov2009HolonomicQC, title={Holonomic quantum computation in subsystems.}, author={Ognyan Oreshkov}, journal={Physical review letters}, year={2009}, volume={103 9}, pages={ 090502 } }

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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