Submission of Task 2 and Task 3 for the screening of QOSF Mentorship Program

Task 2

I have used pennylane with qiskit library plugin to solve the screening task.

The steps involved in the solution:

• Creating a parametrized circuit using RX and RY and CNOTs for creating |01> and |10> with eaual probability and and running it on a noisy simulator.
  • Applied a parametrized RY gate and RX gate on first and second qubit respectively and measured the probability of the states.
• Started with chosing random parameters.
• Created a cost function which returns ((prob_00-0)**2 + (prob_01-0.5)**2 + (prob_10-0.5)**2 + (prob_11-0)**2) where prob_x gives the probability of the given state
• Used a prebuilt Gradient Descent Optimizer in pennylane library to find the parameters for different number of measurements.
• Plotted the state probability for different number of measurements.

Steps involved in the bonus question:

• I measured the expectation value of X@X for the state, where @ is the tensor product.
• Then minimized -1*expectation value to find the parameter using Gradient Descent

Task 3

I have used qiskit library to solve the Task 3.

The steps involved in the solution

• Created H, X, Y, Z, CNOT gate using RX, RZ, CZ.
• Reduced the overhead by Basic Swap.

Note

If you want to evaluate with only one task, please go ahead with Task2.