Optimization Algorithms for Josephson Qubits

Superconducting nanoelectrical circuits are promising candidates for the physical implementation of the basic building block of a quantum computer, the qubit. We investigate how optimal control theory can be applied to optimize the dynamics of Josephson qubits. For the example of the charge qubit, s...

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Bibliographic Details
Published in2009 13th International Workshop on Computational Electronics pp. 1 - 2
Main Authors Roloff, R., Wenin, M., Potz, W.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.2009
Subjects
Circuits
Control systems
Couplings
Embedded computing
Hilbert space
Microscopy
Optimal control
Quantum computing
Quantum mechanics
Space charge
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Summary:Superconducting nanoelectrical circuits are promising candidates for the physical implementation of the basic building block of a quantum computer, the qubit. We investigate how optimal control theory can be applied to optimize the dynamics of Josephson qubits. For the example of the charge qubit, several numerical methods are employed to search for external control fields which, by current technology, are realistic and induce the desired unitary time evolution within the system (i.e. the desired gate operation) as faithfully as possible in presence of dissipation, decoherence and leakage. Associated calculations which model the environment microscopically are time-intensive so that parallel computing methods are beneficial in the sampling over control fields. In particular, we discuss the performance of differential-evolution-algorithm based optimizations on a cluster. Using a simpler Lindblad model for environmental effects, we compare the performance of a conjugate-gradient approach to that of a genetic algorithm.
ISBN:1424439256
9781424439256
DOI:10.1109/IWCE.2009.5091135