English

Universal superposition of arbitrary orthogonal states

Quantum Physics 2017-11-22 v3

Abstract

It is known that no quantum process can produce a predetermined superposition of unknown arbitrary states. It has already been shown that with some partial information about the states, one can produce with some probability such superpositions. Here we show that there are universal machines which can produce superpositions of unknown orthogonal states with unit probability. Our construction unravels the relation between the no-cloning theorem and the no-superposition theorem, that is we show that if a perfect cloning machine exists, then a universal superposition machine can also exist.

Keywords

Cite

@article{arxiv.1708.04360,
  title  = {Universal superposition of arbitrary orthogonal states},
  author = {Mina Doosti and Farzad Kianvash and Vahid Karimipour},
  journal= {arXiv preprint arXiv:1708.04360},
  year   = {2017}
}

Comments

13 pages, 2 figures, Accepted for publication in Physical Review A

R2 v1 2026-06-22T21:14:45.285Z