Generalized Boolean Functions and Quantum Circuits on IBM-Q
arXiv:1911.06851 · doi:10.1109/ICCCNT45670.2019.8944437
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.
7 pages, 8 figures, Accepted to Publish in: 10th International Conference on Computing, Communication and Networking Technologies and IEEE Xplore