Approaching the theoretical limit in quantum gate decomposition

Péter Rakyta; Zoltán Zimborás

doi:10.22331/q-2022-05-11-710

Approaching the theoretical limit in quantum gate decomposition

Péter Rakyta^1,2 and Zoltán Zimborás^3,4

¹Department of Physics of Complex Systems, Eötvös Loránd University, Budapest, Hungary
²Wigner Research Center for Physics, 29–33 Konkoly–Thege Miklos Str., H- 1121 Budapest, Hungary
³Wigner Research Center for Physics, 29–33 Konkoly–Thege Miklos Str., H-1121 Budapest, Hungary
⁴BME-MTA Lendület Quantum Information Theory Research Group, Budapest, Hungary

Published:	2022-05-11, volume 6, page 710
Eprint:	arXiv:2109.06770v4
Doi:	https://doi.org/10.22331/q-2022-05-11-710
Citation:	Quantum 6, 710 (2022).

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Abstract

In this work we propose a novel numerical approach to decompose general quantum programs in terms of single- and two-qubit quantum gates with a $CNOT$ gate count very close to the current theoretical lower bounds. In particular, it turns out that $15$ and $63$ $CNOT$ gates are sufficient to decompose a general $3$- and $4$-qubit unitary, respectively, with high numerical accuracy. Our approach is based on a sequential optimization of parameters related to the single-qubit rotation gates involved in a pre-designed quantum circuit used for the decomposition. In addition, the algorithm can be adopted to sparse inter-qubit connectivity architectures provided by current mid-scale quantum computers, needing only a few additional $CNOT$ gates to be implemented in the resulting quantum circuits.

► BibTeX data

@article{Rakyta2022approaching,
  doi = {10.22331/q-2022-05-11-710},
  url = {https://doi.org/10.22331/q-2022-05-11-710},
  title = {Approaching the theoretical limit in quantum gate decomposition},
  author = {Rakyta, P{\'{e}}ter and Zimbor{\'{a}}s, Zolt{\'{a}}n},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {6},
  pages = {710},
  month = may,
  year = {2022}
}

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