A fault-tolerant one-way quantum computer - PiTP

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Fault-tolerance threshold in SError budget from Reed-Muller concatenation threshold:7615 p 2 + 2 3 p P + 4 3 p M + 4 3 p S < 1105 . (4)Specific parameter choices:p 2,c = 2.9 × 10 −3 , for p P = p S = p M = 0,p c = 1.1 × 10 −3 , for p P = p S = p M = p 2 =: p.(5)The Reed-Muller code sets the overall threshold.
Remark 1 - mapping to 2D• Make “simulated time” real time. Entangle slice-wise.→ 2D qubit lattice suffices.
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: Fault-tolerance threshold in S• T
Page 35: Summary[quant-ph/0510135]Numbers:

A fault-tolerant one-way quantum computer - PiTP

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