Optimal control theory for a unitary operation under dissipative evolution

Autor: Michael H Goerz, Daniel M Reich, Christiane P Koch
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: New Journal of Physics, Vol 16, Iss 5, p 055012 (2014)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/16/5/055012
Popis: 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 $\sqrt{i{\rm{S}}WAP}$ gate with superconducting qubits.
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