SteaneCode

MSc Steane Code project

For documentation of the SteaneCodeLogicalQubit class please see the automatically produced documentation.

Please see the Pipecleaning repository for the initial work from which the baseline files were copied.

List of workbooks

Workbook Steane Code is a good place to start. It illustrates the main method calls.

The following additional workbooks are included:

Basic tests

• Basic_single_qubit_errors.ipynb : Compares simulation of parallel single-qubit gates to calculation.
• Basic_single_qubit_errors_transpilation.ipynb : Compares simulation of parallel single-qubit gates to calculation for transpiled gates.
• Steane Code single-qubit error sensitivity : Finds sensitivity of simulations to single-qubit errors.
• Basic_two_qubit_errors.ipynb : Compares simulation of parallel two qubit gates to calculation.

Calibration of noise model

• Egan_single_qubit_errors.ipynb : Compares simulation of randomised benchmarking of Clifford gates to Egan’s observations.
• Egan_two_qubit_errors.ipynb : Compare simulation of parallel XX gates to Egan’s experimental observations.
• Bacon_Shor_1.ipynb : Simulation of full Bacon Shor code 1.
• Bacon_Shor_1.ipynb : Simulation of full Bacon Shor code 2.

Steane code encoding

• Steane Code encoding : Check how much noise is introduced by the encoding circuit.
• Steane Code encoding FTb : Test fault tolerance encoding using scheme B from Goto.
• Steane Code encoding FTc : Test fault tolerance encoding using scheme C from Goto.
• Steane Code encoding FTd : Test novel fault tolerance encoding scheme D.
• Steane Code FT encoding : Plots performance of a single-qubit, non fault tolerant encoding and scheme B, C and D.

Steane code error correction

• Steane Code correction no noise : Ensures that when there is no noise any errors introduced on the Steane code are corrected.
• Steane Code correction noise : Assess the noise introduced by error correction.
• Steane Code error detection software decoding with noise : Measures errors before and after error correction, with and without noise.

Steane code decoding

• Steane Code decoding with noise : Assess noise introduced by each the measurement, encoding, detection and decoding stages.
• Steane Code decoding no noise : Ensures that when there is no noise any errors introduced on the Steane code are corrected and are the results are decoded correctly.

Logical operations

• Steane Code logical operation : Sets up a circuit to produce a logical Bell pair.
• Steane Code logical operation test software decoding with noise : Test the decoding software by introducing errors and making sure these get corrected.
• Steane Code logical operation software decoding with noise and without transpilation : Carries out a sensitivity analysis of the performance of a physical and logical Bell pair at different noise levels.

Sundry circuits

• Count gates : Counts gates in transpiled error correction circuits.