1. Examples

This directory contains static examples that can also be run interactively from doc/source/examples using jupyter notebook. There are more examples as Python scripts in the top level folder examples.

• 1.1. First steps
  • 1.1.1. Really short introduction to filter functions
  • 1.1.2. The PulseSequence class
    • 1.1.2.1. A simple example
  • 1.1.3. Generalized filter functions
    • 1.1.3.1. A slightly more involved example
• 1.2. Periodic Driving
  • 1.2.1. Concatenating filter functions
  • 1.2.2. Comparison to brute-force method
  • 1.2.3. Comparing the weak and strong driving regimes
• 1.3. Advanced Concatenation
  • 1.3.1. Sequencing primitive gates to a Hadamard
  • 1.3.2. Calculating the pulse correlation filter functions
• 1.4. Calculating Quantum Processes
  • 1.4.1. Defining a custom basis
  • 1.4.2. Noise power spectral density
  • 1.4.3. Error transfer matrices
    • 1.4.3.1. Performance considerations
    • 1.4.3.2. Calculation using filter_functions
  • 1.4.4. Deriving quantities
    • 1.4.4.1. State fidelity
    • 1.4.4.2. Entanglement fidelity
  • 1.4.5. Complete positivity
  • 1.4.6. Convergence of the frequency integral
• 1.5. Extending pulses
• 1.6. Calculating filter functions of optimized gates
• 1.7. Implementing a Quantum Fourier Transform (QFT)
  • 1.7.1. Physical model
  • 1.7.2. Optimizing pulses using GRAPE
  • 1.7.3. Assembling the circuit
    • 1.7.3.1. Extending single- and two-qubit pulses to the four-qubit register
    • 1.7.3.2. Compiling the required gates
    • 1.7.3.3. Remapping pulses to different qubits
    • 1.7.3.4. Grouping reoccuring gates
  • 1.7.4. Investigating pulse correlations in an algorithm