A fault-tolerant one-way quantum computer - PiTP

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Error model:• Cluster state created in a 4-step sequence of Λ(Z)-gatesfrom product state ⊗ a∈C |+〉 a .• Error sources:– |+〉-preparation: Perfect preparation followed by 1-qubit partiallydepolarizing noise with probability p P .– Λ(Z)-gates: Perfect gates followed by 2-qubit partially depolarizingnoise with probability p 2 .– Memory: 1-qubit partially depolarizing noise with probability p Sper time step.– Measurement: Perfect measurement preceeded by 1-qubit partiallydepolarizing noise with probability p M .• 3D cluster state created in slices of fixed thickness.• Instant classical processing.
Fault-tolerance threshold in Vp 2,c = 9.6 × 10 −3 , for p P = p S = p M = 0,p c = 5.8 × 10 −3 , for p P = p S = p M = p 2 =: p.(3)
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: RPGM: schematic phase diagramMap er
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 and 34: Remark 1 - mapping to 2D• Make
Page 35: Summary[quant-ph/0510135]Numbers:

A fault-tolerant one-way quantum computer - PiTP

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