English

Deterministic linear-optical computing with symmetry-based qubits

Quantum Physics 2026-04-09 v1

Abstract

A particular type of linear optical multiport, the Grover four-port, has previously been shown to couple the spatial symmetry of a photon to its direction of travel. It is shown here that use of a nonstandard choice of qubit, based on symmetry, allows Grover four ports to act as compact, low-resource deterministic linear optical controlledNOTgates, with no post-selection or ancilla measurements required. This approach allows programmable devices, made from Grover multiports in combination with other standard optical components, that can implement multiple different one-, two-, and three-qubit gates, including the Fredkin and Toffoli gates.

Keywords

Cite

@article{arxiv.2604.06584,
  title  = {Deterministic linear-optical computing with symmetry-based qubits},
  author = {David S. Simon and Christopher R. Schwarze and Anthony D. Manni and Abdoulaye Ndao and Alexander V. Sergienko},
  journal= {arXiv preprint arXiv:2604.06584},
  year   = {2026}
}
R2 v1 2026-07-01T11:58:31.193Z