A fault-tolerant one-way quantum computer - PiTP

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Remark 2 - HomologyUndetectable errors ∼ = 1-cycles,measured correlations ∼ = 2-cycles.
Summary[quant-ph/0510135]Numbers:• Fault-tolerance threshold of 1.1 × 10 −3 in 3D local architecture.Methods:• Cluster states in three spatial dimensions provide intrinsictopological error correction.
Page 1 and 2: A fault-tolerant one-way quantumcom
Page 3 and 4: Part I:The one-way quantum computer
Page 5 and 6: Cluster states - creation1. Prepare
Page 7 and 8: Cluster states - definitionA cluste
Page 9 and 10: Part II:Fault-tolerance
Page 11 and 12: Known threshold valuesno constraint
Page 13 and 14: Macroscopic viewThree cluster regio
Page 15 and 16: Lattice duality L ←→ LTranslati
Page 17 and 18: Surface codesplaquettestabilizerOne
Page 19 and 20: RPGM: schematic phase diagramMap er
Page 21 and 22: Fault-tolerance threshold in Vp 2,c
Page 23 and 24: Surface codesrough edgesmooth edgeX
Page 25 and 26: Defects for quantum logicDefects ar
Page 27 and 28: Quantum gates, Part I
Page 29 and 30: Quantum gates, Part IIEncoder and d
Page 31 and 32: Fault-tolerance threshold in S• T
Page 33: Remark 1 - mapping to 2D• Make

A fault-tolerant one-way quantum computer - PiTP

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