English

A Unified Quantum NOT Gate

Quantum Physics 2015-05-13 v1

Abstract

We study the feasibility of implementing a quantum NOT gate (approximate) when the quantum state lies between two latitudes on the Bloch's sphere and present an analytical formula for the optimized 1-to-MM quantum NOT gate. Our result generalizes previous results concerning quantum NOT gate for a quantum state distributed uniformly on the whole Bloch sphere as well as the phase covariant quantum state. We have also shown that such 1-to-MM optimized NOT gate can be implemented using a sequential generation scheme via matrix product states (MPS).

Keywords

Cite

@article{arxiv.0812.0434,
  title  = {A Unified Quantum NOT Gate},
  author = {Z. W. Yu and X. T. Ni and L. C. Kwek and X. B. Wang},
  journal= {arXiv preprint arXiv:0812.0434},
  year   = {2015}
}
R2 v1 2026-06-21T11:47:25.301Z