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Baireuther, P.; Caio, M.D.; Criger, B.; Beenakker, C.W.J.; O'Brien, T.E. (2019)

Neural network decoder for topological color codes with circuit level noise

Article / Letter to editor
A quantum computer needs the assistance of a classical algorithm to detect and identify errors that affect encoded quantum information. At this interface of classical and quantum computing the technique of machine learning has appeared as a way to tailor such an algorithm to the specific error processes of an experiment—without the need for a priori knowledge of the error model. Here, we apply this technique to topological color codes. We demonstrate that a recurrent neural network with long short-term memory cells can be trained to reduce the error rate  L of the encoded logical qubit to values much below the error rate  phys of the physical qubits—fitting the expected power law scaling Show moreA quantum computer needs the assistance of a classical algorithm to detect and identify errors that affect encoded quantum information. At this interface of classical and quantum computing the technique of machine learning has appeared as a way to tailor such an algorithm to the specific error processes of an experiment—without the need for a priori knowledge of the error model. Here, we apply this technique to topological color codes. We demonstrate that a recurrent neural network with long short-term memory cells can be trained to reduce the error rate  L of the encoded logical qubit to values much below the error rate  phys of the physical qubits—fitting the expected power law scaling , with d the code distance. The neural network incorporates the information from 'flag qubits' to avoid reduction in the effective code distance caused by the circuit. As a test, we apply the neural network decoder to a density-matrix based simulation of a superconducting quantum computer, demonstrating that the logical qubit has a longer life-time than the constituting physical qubits with near-term experimental parameters.Show less
All authors
Baireuther, P.; Caio, M.D.; Criger, B.; Beenakker, C.W.J.; O'Brien, T.E.
Date
2019-01-08
Journal
New Journal of Physics
Volume
21
Pages
013003
DOI
doi:10.1088/1367-2630/aaf29e