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0x6f736f646fTask 2
Implement a circuit that returns |01> and |10> with equal probability (50% for each).
Requirements :
- The circuit should consist only of CNOTs, RXs and RYs.
- Start from all parameters in parametric gates being equal to 0 or randomly chosen.
- You should find the right set of parameters using gradient descent (you can use more advanced optimization methods if you like).
- Simulations must be done with sampling (i.e. a limited number of measurements per iteration) and noise.
Compare the results for different numbers of measurements: 1, 10, 100, 1000.
Bonus question:
How to make sure you produce state |01> + |10> and not |01> - |10> ?
(Actually for more careful readers, the “correct” version of this question is posted below: How to make sure you produce state |01⟩ + |10⟩ and not any other combination of |01> + e(i*phi)|10⟩ (for example |01⟩ - |10⟩)?)