Work

Optimal control theory for a unitary operation under dissipative evolution

Year: 2014
Type: article
Abstract: We show that optimizing a quantum gate for an open quantum system requires the time evolution of only three states irrespective of the dimension of Hilbert space. This represents a significant reduction in computational resources compared to the complete basis of Liouville space that is commonly believed necessary for this task. The reduction is based on two observations: the target is not a general dynamical map but a unitary operation; and the time evolution of two properly chosen states is sufficient to distinguish any two unitaries. We illustrate gate optimization employing a reduced set of states for a controlled phasegate with trapped atoms as qubit carriers and a gate with superconducting qubits.
Authors: Michael H Goerz, Daniel M Reich, Christiane P Koch
Language: English
Open Access status: gold
Estimated APC paid: $1,142
OpenAlex ID: W2167707472
FWCI: 4.594
Cites: 39
Cited by: 88
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