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Arbitrary quantum control of qubits in the presence of universal noise

Arbitrary quantum control of qubits in the presence of universal noise

We address the problem of deriving analytic expressions for calculating universal decoherence-induced errors in qubits undergoing arbitrary, unitary, time-dependent quantum control protocols. We show that the fidelity of a control operation may be expressed in terms of experimentally relevant spectral characteristics of the noise and of the control, over all …