Abstract
In this chapter, we explain how to perform topological fault-tolerant quantum computation on the surface code. All operations employed are nearest-neighbor (at most) two-qubit gates and single-qubit measurements on a 2D array of qubits. This property is quite favorable for the fabrication of qubits and their control lines on a chip. Fault-tolerance ensures that no local noise during any sort of operations ever spoil the quantum computation, if the noise strength is smaller than a certain threshold value, as seen below.
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Fujii, K. (2015). Topological Quantum Computation with Surface Codes. In: Quantum Computation with Topological Codes. SpringerBriefs in Mathematical Physics, vol 8. Springer, Singapore. https://doi.org/10.1007/978-981-287-996-7_4
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DOI: https://doi.org/10.1007/978-981-287-996-7_4
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-287-995-0
Online ISBN: 978-981-287-996-7
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