Generalized Boolean Functions and Quantum Circuits on IBM-Q
Quantum Physics
2020-01-09 v1
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.
Cite
@article{arxiv.1911.06851,
title = {Generalized Boolean Functions and Quantum Circuits on IBM-Q},
author = {Sugata Gangopadhyay and Vishvendra Singh Poonia and Daattavya Aggarwal and Rhea Parekh},
journal= {arXiv preprint arXiv:1911.06851},
year = {2020}
}
Comments
7 pages, 8 figures, Accepted to Publish in: 10th International Conference on Computing, Communication and Networking Technologies and IEEE Xplore