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We present a fault-tolerant universal gate set consisting of Hadamard and controlled-controlled-Z (CCZ) on Bacon-Shor subsystem codes.
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Sergey Bravyi and Robert König, “Classification of topologically protected gates for local stabilizer codes,” Physical Review Letters 110
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Jonas T Anderson, Guillaume Duclos-Cianci, and David Poulin, “Fault-tolerant conversion between the Steane and Reed-Muller quantum codes,” Physical Review Letters 113
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Panos Aliferis, “Level reduction and the quantum threshold theorem,” arXiv preprint quant-ph/0703230 (2007)
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Bryan Eastin and Emanuel Knill, “Restrictions on transversal encoded quantum gate sets,” Physical Review Letters 102
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Fernando Pastawski, Alastair Kay, Norbert Schuch, and J Ignacio Cirac, “Limitations of passive protection of quantum information,” Quantum Information & Computation 10
2010
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Cédric Bény and Ognyan Oreshkov, “General conditions for approximate quantum error correction and near-optimal recovery channels,” Physical Review Letters 104
2010
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Adam Paetznick and Ben W Reichardt, “Universal fault-tolerant quantum computation with only transversal gates and error correction,” Physical Review Letters 111
2013
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2014
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Yu Tomita and Krysta M Svore, “Low-distance surface codes under realistic quantum noise,” Physical Review A 90
2014
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Fernando Pastawski and Beni Yoshida, “Fault-tolerant logical gates in quantum error-correcting codes,” Physical Review A 91
2015
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Theodore J Yoder, Ryuji Takagi, and Isaac L Chuang, “Universal fault-tolerant gates on concatenated stabilizer codes,” Physical Review X 6
2016
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Hayato Goto, “Minimizing resource overheads for fault-tolerant preparation of encoded states of the Steane code,” Scientific reports 6
2016
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Theodore J Yoder and Isaac H Kim, “The surface code with a twist,” Quantum 1
2017
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