English

Generation of the Complete Four-dimensional Bell Basis

Quantum Physics 2017-12-04 v1

Abstract

The Bell basis is a distinctive set of maximally entangled two-particle quantum states that forms the foundation for many quantum protocols such as teleportation, dense coding and entanglement swapping. While the generation, manipulation, and measurement of two-level quantum states is well understood, the same is not true in higher dimensions. Here we present the experimental generation of a complete set of Bell states in a four-dimensional Hilbert space, comprising of 16 orthogonal entangled Bell-like states encoded in the orbital angular momentum of photons. The states are created by the application of generalized high-dimensional Pauli gates on an initial entangled state. Our results pave the way for the application of high-dimensional quantum states in complex quantum protocols such as quantum dense coding.

Keywords

Cite

@article{arxiv.1707.05760,
  title  = {Generation of the Complete Four-dimensional Bell Basis},
  author = {Feiran Wang and Manuel Erhard and Amin Babazadeh and Mehul Malik and Mario Krenn and Anton Zeilinger},
  journal= {arXiv preprint arXiv:1707.05760},
  year   = {2017}
}

Comments

4 pages, 4 figures

R2 v1 2026-06-22T20:50:41.526Z