R Nigmatullin and S G Schirmer 2009 New J. Phys. 11 105032 doi:10.1088/1367-2630/11/10/105032
Implementation of fault-tolerant quantum logic gates via optimal control
Focus on Quantum ControlR Nigmatullin1 and S G Schirmer2,3,4
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The implementation of fault-tolerant quantum gates on encoded logic qubits is considered. It is shown that transversal implementation of logic gates based on simple geometric control ideas is problematic for realistic physical systems suffering from imperfections such as qubit inhomogeneity or uncontrollable interactions between qubits. However, this problem can be overcome by formulating the task as an optimal control problem and designing efficient algorithms to solve it. In particular, we can find solutions that implement all of the elementary logic gates in a fixed amount of time with limited control resources for the five-qubit stabilizer code. Most importantly, logic gates that are extremely difficult to implement using conventional techniques even for ideal systems, such as the T-gate for the five-qubit stabilizer code, do not appear to pose a problem for optimal control.
- PACS
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03.67.Lx Quantum computation architectures and implementations
- Subjects
- Dates
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Issue 10 (October 2009)
Received 19 June 2009
Published 30 October 2009
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Implementation of fault-tolerant quantum logic gates via optimal control
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