Users Guide

• Guide Overview
• Basic Operations on Quantum Objects
  • First things first
  • The quantum object class
  • Functions operating on Qobj class
• Manipulating States and Operators
  • Introduction
  • State Vectors (kets or bras)
  • Density matrices
  • Qubit (two-level) systems
  • Gates
  • Expectation values
  • Superoperators and Vectorized Operators
  • Choi, Kraus, Stinespring and \(\chi\) Representations
  • Properties of Quantum Maps
• Using Tensor Products and Partial Traces
  • Tensor products
  • Example: Constructing composite Hamiltonians
  • Partial trace
  • Superoperators and Tensor Manipulations
• Superoperators, Pauli Basis and Channel Contraction
  • Superoperator Representations and Plotting
  • Reduced Channels
• Time Evolution and Quantum System Dynamics
  • Introduction
  • Dynamics Simulation Results
  • Lindblad Master Equation Solver
  • Monte Carlo Solver
  • Krylov Solver
  • Stochastic Solver
  • Solving Problems with Time-dependent Hamiltonians
  • Solver Class Interface
  • Bloch-Redfield master equation
  • Floquet Formalism
  • Monte Carlo for Non-Markovian Dynamics
  • Setting Options for the Dynamics Solvers
  • Computing propagators
• Environments of Open Quantum Systems
  • Bosonic Environments
  • Pre-defined Environments
  • User-Defined Environments
  • Multi-Exponential Approximations
  • Fermionic environments
• Hierarchical Equations of Motion
  • Introduction
  • Bosonic Environments
  • Fermionic Environments
  • Previous implementations
  • References
• Solving for Steady-State Solutions
  • Introduction
  • Steady State solvers in QuTiP
  • Using the Steadystate Solver
  • Additional Solver Arguments
  • Example: Harmonic Oscillator in Thermal Bath
• Permutational Invariance
  • Permutational Invariant Quantum Solver (PIQS)
• Two-time correlation functions
  • Steadystate correlation function
  • Emission spectrum
  • Non-steadystate correlation function
• Plotting on the Bloch Sphere
  • Introduction
  • The Bloch Class
  • Configuring the Bloch sphere
  • Animating with the Bloch sphere
• Visualization of quantum states and processes
  • Fock-basis probability distribution
  • Quasi-probability distributions
  • Visualizing operators
  • Quantum process tomography
• Saving QuTiP Objects and Data Sets
  • Storing and loading QuTiP objects
  • Storing and loading datasets
• Generating Random Quantum States & Operators
  • Random objects with a given eigen spectrum
  • Composite random objects
  • Controlling the random number generator
  • Internal matrix format
• QuTiP settings
• Environment settings
• Modifying Internal QuTiP Settings
  • User Accessible Parameters
  • Example: Changing Settings
  • String Coefficient Parameters
• Measurement of Quantum Objects
  • Introduction
  • Performing a basic measurement (Observable)
  • Performing a basic measurement (Projective)
  • Obtaining measurement statistics(Observable)
  • Obtaining measurement statistics(Projective)
• Quantum Optimal Control
  • Introduction
  • Closed Quantum Systems
  • The GRAPE algorithm
  • The CRAB Algorithm
  • Optimal Quantum Control in QuTiP