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A T-depth two Toffoli gate for 2D square lattice architectures

Quantum Physics 2023-11-22 v1

Abstract

We present a novel Clifford+T decomposition of a Toffoli gate. Our decomposition requires no SWAP gates in order to be implemented on 2D square lattices of qubits. This decomposition enables shallower, more fault-tolerant quantum computations on both NISQ and error-corrected architectures. We present the derivation of the circuit, and illustrate the qubit mapping on a Sycamore-like architecture.

Keywords

Cite

@article{arxiv.2311.12510,
  title  = {A T-depth two Toffoli gate for 2D square lattice architectures},
  author = {Alexandru Paler and Evan E. Dobbs and Joseph S. Friedman},
  journal= {arXiv preprint arXiv:2311.12510},
  year   = {2023}
}

Comments

accepted at 18th ACM International Symposium on Nanoscale Architectures

R2 v1 2026-06-28T13:27:16.144Z