Quantum control at the nanoscale – Arbitrary qudit gates by adiabatic passage
(Université de Bourgogne)
Time: Thu Dec 12 13:30:00 2013
Location: Building 4, Room 123
We derive an adiabatic technique that implements the most general SU(d) transformation in a quantum system of d degenerate states, featuring a qudit. This technique is based on the factorization of the SU(d) transformation into d generalized quantum Householder reﬂections, each of which is implemented by a two-shot stimulated Raman adiabatic passage with appropriate static phases. The energy of the lasers needed to synthesize a single Householder reﬂection is shown to be remarkably constant as a function OFD. This technique is directly applicable to a linear trapped ion system with d + 1 ions. We implement the quantum Fourier transform numerically in a qudit with d = 4 (deﬁned as a quartit) as an example.