Theory

This section aims to provide a conceptual overview to quantum computing, qubits, the operator-sum representation for noise channels, and the Monte-Carlo Wave Function (MCWF) method. It is intended for readers who are new to quantum computing and quantum noise, and serves as a foundation for understanding the implementation details discussed in other sections of this documentation.

Contents:

• Quantum Computing 101
  • Quantum Computers
  • Qubits
  • Mulitple Qubits and Entanglement
  • Qubit Operations
  • Measurements
• Quantum Noise
  • Density Matrix
  • Operator-Sum Representation
• Monte-Carlo Wave Function (MCWF) Method
• Quantum Circuit Simulators
  • Statevector Simulators
  • Density Matrix Simulators
• Method Comparisons
  • Metrics
  • Setup
  • Noise Filtering
  • MCWF Vs Density Matrix Simulation
  • Reproducibility
  • Conclusion
• Hardware Considerations
  • Basis Gates
  • Qubit Maps