QOSF Mentorsip Program Screenning Task 2

Libraries Use

• pennylane
• qiskit
• plugin of pennylane for qiskit - pennylane-qiskit
• numpy

Steps

1. Create Vanilla Circuit

• Use H, X and CX quantum gates
• Convert the quantum gates to restricted set of quantum gates

2. Create Parameteized Circuit

• Set Initial state to |00>
• set All angles to 0.0
• train using gradient descent optimizer from pennylane

3. Figure out approach for producing state |01> + |10> and not |01> - |10>

Steps that we can take to distinguish +i, -i phases i.e. |0> + i|1> and |0> - i|1>

• Change the measurement basis to X@Y (PauliX measurement on qubit_0 and PauliY on qubit_1)

Steps that we can take to distinguish +1, -1 phases i.e. |0> + |1> and |0> - |1>

• Change the measurement basis to X@X (PauliX measurement on both qubit_0 and qubit_1)

To combine both results to distinguish +1 phase from other phases

• Create a quantum node collection for 2 nodes of the same circuit
• Alter the gradient function: cost = |X@Y|-X@X + gradient(prob)

4. Test final approach for different number of measurements 1, 10, 100, 1000