Exchange gate on the qudit space and Fock space
Kazuyuki Fujii · Journal of Optics B Quantum and Semiclassical Optics · 2003
We construct an exchange gate with small elementary gates on the space of qudits, which consist of three controlled shift gates and three 'reverse' gates. This is a natural extension of the qubit case. We also consider a similar situation in Fock space, but in this case we find some differences. However, we can construct the exchange gate by making use of a generalized coherent operator based on the Lie algebra su (2), which is a well-known method in quantum optics. We also make a brief comment on 'imperfect clones'.