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Paper detail

Generalized Boolean Functions and Quantum Circuits on IBM-Q

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.

preprint2019arXivOpen access
Sugata GangopadhyayVishvendra Singh PooniaDaattavya AggarwalRhea Parekh
quant-ph
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Sugata GangopadhyayVishvendra Singh PooniaDaattavya AggarwalRhea Parekh

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