Methods in Quantum Error Correction

CS-632

This file is part of the content downloaded from Methods in Quantum Error Correction.

Announcements (Forum)
Ed Discussion (External tool)
Organization (File)

Lecture notes: Tutorial 1 (File)

Lecture Notes: Tutorial 2 (File)

Reading: Quantum MacWilliams Identities (File)
Reading: Quantum MacWilliams Identities (File)

Applications of codes to complexity: the NLTS theorem. See Chapter 4 in Nirkhe's thesis for an almost self-contained proof. For some discussion of relevance to complexity theory, see Section 4 in the quantum PCP survey.

Nirkhe's thesis (File)
Quantum PCP survey (File)

Reading: Munne et al., SDP bounds on Quantum codes (File)
Optional reading: chapter 13 (File)
Optional reading: optimal recovery using transport channel (File)

Reading: Quantum Locally Testable Code with Constant Soundness (File)
Reading: LTC and NLTS (Sec. 7) (File)

Reading: Fault-tolerant quantum computation by anyons (File)
Supplementary Material (File)

Notes on the Toric code and quantum double model (File)

Reading: Building Manifolds from Codes (File)

Reading: Gottesman-Kitaev-Preskill Codes (File)
Reading: Achievable rates for the Gaussian quantum channel (File)