03: Neutral Atom Simulator (Outline)

Imports

import qutip
import numpy as np

%matplotlib inline
import matplotlib.pyplot as plt

Outline of an implementation

class NeutralAtomCircuit:
    """ A neutral atom circuit laser pulse simulator. """
    def __init__(self, atoms):
        self.n = len(atoms)
        self.atoms = atoms
        self.pulses = []
        self.t = 0

    def state(self, s):
        """ Return a ket corresponding to the given string description. """

    def run(self, psi, tlist=None, step_rate=20):
        """ Run the circuit. """        

    # Gates implemented directly using control pulses:

    def rx(self, i, theta, dt=1):
        """ Add a laser pulse that rotates qubit i an angle theta around the X axis. """

    def ry(self, i, theta, dt=1):
        """ Add a laser pulse that rotates qubit i an angle theta around the Y axis. """

    def rz(self, i, theta, dt=1):
        """ Add a laser pulse that rotates qubit i an angle theta around the Z axis. """

    def cz(self, control, target, dt=1):
        """ Add a pulse that performs a controlled-Z phase flip operation on two qubits. """

    # Gates implemented on top of other gates:

    def h(self, i):
        """ Apply a hadamard gate to qubit i. """

    def cnot(self, i):
        """ Apply a CNOT gate to qubit i. """

Implementation

# Your code goes here

Example uses

atoms = [(1, 0), (0, 1)]
circuit = NeutralAtomCircuit(atoms)

# Example circuit 1: Pretty sequence of rotations the form a closed loop (qubit 0)
#circuit.rx(0, np.pi / 4)
#circuit.rz(0, np.pi / 4)
#circuit.ry(0, np.pi / 4)

# Example circuit 2: Pretty sequence of rotations the form a closed loop (qubit 1)
#circuit.rx(1, np.pi / 4)
#circuit.rz(1, np.pi / 4)
#circuit.ry(1, np.pi / 4)

# Example circuit 3:
# Combine the two pervious circuits into one

# Example circuit 4: Apply a CNOT
# CNOT = (I ⊗ H)CZ(I ⊗ H)
# H = X Ry(pi/2)
circuit.rx(1, np.pi / 2)
circuit.ry(1, np.pi / 4)
circuit.cz(0, 1)
circuit.rx(1, np.pi / 2)
circuit.ry(1, np.pi / 4)

psi = circuit.state("11")
result = circuit.run(psi, step_rate=20)