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Trapped Ion Quantum Computing Superconducting Qubits

Optimal control theory for a unitary operation under dissipative evolution

arXiv
Authors: Michael H. Goerz, Daniel M. Reich, Christiane P. Koch

Year

2013

Paper ID

31660

Status

Preprint

Abstract Read

~2 min

Abstract Words

116

Citations

N/A

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 sqrt{iSWAP} gate with superconducting qubits.

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  • This paper contributes to the Superconducting Qubits research area in the Quantum Articles archive.
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  • 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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1312.0111 [2] arXiv https://arxiv.org/abs/1312.0111 [3] Publisher https://arxiv.org/abs/1312.0111

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