Journal
PHYSICAL REVIEW A
Volume 87, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.87.032328
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Funding
- European Marie Curie Initial Training Network [GA-ITN-214962-FASTQUAST]
- Conseil Regional de Bourgogne
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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 of d. 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. DOI: 10.1103/PhysRevA.87.032328
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