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Pavithran S Iyer edited this page Mar 14, 2018 · 24 revisions

Representations for quantum channels

We will consider quantum channels that can be described by completely positive trace preserving (CPTP) maps. A single qubit CPTP map can be represented in one of the following representations.

  1. Krauss representation (krauss)
  2. Choi matrix (choi)
  3. Pauli Liouville matrix (process)
  4. Chi Matrix (chi)
  5. Stinespring dilation (stine)

Refer to the document channelreps.pdf for definitions of the above representations. In chflow, when a channel is defined using the chan command, it is stored in the Krauss representation. The storage representation can be altered using the chrep command. In order to alter the representation from <oldrep> to <newrep>, use the command

chrep <oldrep> <newrep>.

Screenshot of chflow interface with the chrep command line.

Check man chrep for details.

  • Physical noise processes
    • Definitions of quantum channels
    • Representations of quantum channels
    • Approximations to a Pauli channel
  • Quantum error correction
    • Quantum error correcting codes
    • Decoding and effective channel
  • Running simulations
    • On a local computer
    • On Compute Canada clusters
  • Plotting results
  • Deriving new measures of noise strength
    • Fitting logical error rates to an ansatz
    • Using machine learning techniques
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