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arXiv · 1911.06851

Generalized Boolean Functions and Quantum Circuits on IBM-Q

Sugata Gangopadhyay·Vishvendra Singh Poonia·Daattavya Aggarwal·Rhea Parekh
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Abstract

We explicitly derive a connection between quantum circuits utilising IBM's quantum gate set and multivariate quadratic polynomials over integers modulo 8. We demonstrate that the action of a quantum circuit over input qubits can be written as generalized Walsh-Hadamard transform. Here, we derive the polynomials corresponding to implementations of the Swap gate and Toffoli gate using IBM-Q gate set.

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Sugata Gangopadhyay, Vishvendra Singh Poonia, Daattavya Aggarwal, Rhea Parekh. 2019-11-15. Generalized Boolean Functions and Quantum Circuits on IBM-Q. https://doi.org/10.1109/icccnt45670.2019.8944437

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