Quantum Mechanics

Abstract

Contains Docstrings of Physics-Quantum module

Quantum Functions

• Anticommutator
  • AntiCommutator
    • AntiCommutator.doit()
• Clebsch-Gordan Coefficients
  • CG
  • Wigner3j
  • Wigner6j
  • Wigner9j
  • cg_simp()
• Commutator
  • Commutator
    • Commutator.doit()
• Constants
  • HBar
• Dagger
  • Dagger
• Inner Product
  • InnerProduct
• Tensor Product
  • TensorProduct
  • tensor_product_simp()

States and Operators

• Cartesian Operators and States
  • PositionBra3D
  • PositionKet3D
  • PositionState3D
    • PositionState3D.position_x
    • PositionState3D.position_y
    • PositionState3D.position_z
  • PxBra
    • PxBra.momentum
  • PxKet
    • PxKet.momentum
  • PxOp
  • XBra
    • XBra.position
  • XKet
    • XKet.position
  • XOp
  • YOp
  • ZOp
• Hilbert Space
  • ComplexSpace
  • DirectSumHilbertSpace
    • DirectSumHilbertSpace.eval()
    • DirectSumHilbertSpace.spaces
  • FockSpace
  • HilbertSpace
    • HilbertSpace.dimension
  • L2
  • TensorPowerHilbertSpace
  • TensorProductHilbertSpace
    • TensorProductHilbertSpace.eval()
    • TensorProductHilbertSpace.spaces
• Operator
  • DifferentialOperator
    • DifferentialOperator.expr
    • DifferentialOperator.free_symbols
    • DifferentialOperator.function
    • DifferentialOperator.variables
  • HermitianOperator
  • IdentityOperator
  • Operator
  • OuterProduct
    • OuterProduct.bra
    • OuterProduct.ket
  • UnitaryOperator
• Operator/State Helper Functions
  • operators_to_state()
  • state_to_operators()
• Qapply
  • qapply()
• Represent
  • enumerate_states()
  • get_basis()
  • integrate_result()
  • rep_expectation()
  • rep_innerproduct()
  • represent()
• Spin
  • J2Op
  • JxBra
  • JxBraCoupled
  • JxKet
  • JxKetCoupled
  • JyBra
  • JyBraCoupled
  • JyKet
  • JyKetCoupled
  • JzBra
  • JzBraCoupled
  • JzKet
  • JzKetCoupled
  • JzOp
  • Rotation
    • Rotation.D()
    • Rotation.d()
  • WignerD
  • couple()
  • uncouple()
• State
  • Bra
  • BraBase
  • Ket
  • KetBase
  • OrthogonalBra
  • OrthogonalKet
  • OrthogonalState
  • State
  • StateBase
    • StateBase.dual
    • StateBase.dual_class()
    • StateBase.operators
  • TimeDepBra
  • TimeDepKet
  • TimeDepState
    • TimeDepState.label
    • TimeDepState.time
  • Wavefunction
    • Wavefunction.expr
    • Wavefunction.is_commutative
    • Wavefunction.is_normalized
    • Wavefunction.limits
    • Wavefunction.norm
    • Wavefunction.normalize()
    • Wavefunction.prob()
    • Wavefunction.variables

Quantum Computation

• Circuit Plot
  • CircuitPlot
    • CircuitPlot.control_line()
    • CircuitPlot.control_point()
    • CircuitPlot.not_point()
    • CircuitPlot.one_qubit_box()
    • CircuitPlot.swap_point()
    • CircuitPlot.two_qubit_box()
    • CircuitPlot.update()
  • CreateCGate()
  • Mx
  • Mz
  • circuit_plot()
  • labeller()
• Gates
  • CGate
    • CGate.controls
    • CGate.decompose()
    • CGate.eval_controls()
    • CGate.gate
    • CGate.min_qubits
    • CGate.nqubits
    • CGate.plot_gate()
    • CGate.targets
  • CGateS
  • CNOT
  • CNotGate
    • CNotGate.controls
    • CNotGate.gate
    • CNotGate.min_qubits
    • CNotGate.targets
  • Gate
    • Gate.get_target_matrix()
    • Gate.min_qubits
    • Gate.nqubits
    • Gate.targets
  • H
  • HadamardGate
  • IdentityGate
  • OneQubitGate
  • Phase
  • PhaseGate
  • S
  • SWAP
  • SwapGate
    • SwapGate.decompose()
  • T
  • TGate
  • TwoQubitGate
  • UGate
    • UGate.get_target_matrix()
    • UGate.targets
  • X
  • XGate
  • Y
  • YGate
  • Z
  • ZGate
  • gate_simp()
  • gate_sort()
  • normalized()
  • random_circuit()
• Grover’s Algorithm
  • OracleGate
    • OracleGate.search_function
    • OracleGate.targets
  • WGate
  • apply_grover()
  • grover_iteration()
  • superposition_basis()
• QFT
  • IQFT
    • IQFT.decompose()
  • QFT
    • QFT.decompose()
  • Rk
  • RkGate
• Qubit
  • IntQubit
  • IntQubitBra
  • Qubit
  • QubitBra
  • matrix_to_density()
  • matrix_to_qubit()
  • measure_all()
  • measure_all_oneshot()
  • measure_partial()
  • measure_partial_oneshot()
  • qubit_to_matrix()
• Shor’s Algorithm
  • CMod
    • CMod.N
    • CMod.a
    • CMod.t
  • period_find()
  • shor()

Analytic Solutions

• Particle in a Box
  • PIABBra
  • PIABHamiltonian
  • PIABKet