Advanced Topics in Quantum Fault Tolerance: CS 798 (Winter 2010)

Ben Reichardt
breic@cs, x38616, DC 2113 or RAC 2113, any time

Announcements


Lecture notes

Topic Notes (modified)
11/5 The fault-tolerance problem pdf (1/27)
21/7 Stabilizer codes pdf (1/27)
31/12 General quantum error-correcting codes pdf (1/27)
41/14 Stabilizer algebra, Threshold 1/2 for erasure errors pdf (2/6)
51/26 Threshold 1/2 for erasure errors (recap) pdf (1/29)
61/28 Fault-tolerant measurement and computation pdf (1/29)
72/2 Fault-tolerant error correction pdf (2/6)
82/4 Fault-tolerant ancilla preparation pdf (2/6)
92/9 Bacon-Shor subsystem code pdf (2/13)
102/11 Threshold for local stochastic noise pdf (2/13)
112/23 AGP threshold for stochastic noise with shared bath, malignant set counting pdf (2/26)
122/25 Universal set of fault-tolerant gate gadgets, magic states distillation, threshold upper bounds pdf (2/26)
133/2 Threshold upper and lower bounds pdf (3/18)
143/4 Anyon models, for topological quantum computation
      General TQC reading: Nayak et al. review article, Preskill's lecture notes, Ch. 9, SciAm, Stormer's Nobel lecture
pdf (3/5)
153/9 Topological QC equivalent to general QC pdf (3/12)
163/11 Toric code pdf (3/18)
173/16 Higher-order-accurate dynamical decoupling (bang-bang control)
Misc. refs.: 0107041, 0107059, 0408078, etc.
183/18 Upper bounds on quantum error-correcting codes
incomplete notes (3/18)
193/23 Fault-tolerant quantum computation with the toric code
pdf (3/26)
203/25 Turaev-Viro codes
pdf (3/26)

Recommended reading

Codes: collection

General:


Project Guidelines

Please discuss with me your project topic. Here are some entry points into the literature.