In this paper we investigate the effect of dephasing on the performance of the quantum rotation gate implemented by adiabatic passage and static laser pulses proposed in Lacour et al (2006 Opt. Commun. 264 362). We show that in an open system, where the three-level lambda system is subjected to dephasing of its ground states, the dephasing will introduce additional dynamic phases which cannot be recompensated as in the closed system. We analyse the evolution of the population by using the quantum jump approach. The results are obtained assuming realistic dephasing rates Γ0 1In this paper we investigate the effect of dephasing on the performance of the quantum rotation gate implemented by adiabatic passage and static laser pulses proposed in Lacour et al (2006 Opt. Commun. 264 362). We show that in an open system, where the three-level lambda system is subjected to dephasing of its ground states, the dephasing will introduce additional dynamic phases which cannot be recompensated as in the closed system. We analyse the evolution of the population by using the quantum jump approach. The results are obtained assuming realistic dephasing rates Γ0 1

Journal of Physics B Atomic Molecular and Optical PhysicsOct 22, 20105 citations

Arbitrary qudit gates by adiabatic passage

Benjamin Rousseaux, S. Guérin, Nikolay V. Vitanov

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.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.

Physical Review AMar 25, 201367 citations

Pulsed laser gates for trapped atomic qubits

Crystal Senko, Wesley C. Campbell, Jonathan Mizrahi +1 more

Bulletin of the American Physical SocietyJun 14, 20110 citations

One-Step Implementation of Two-Qubit Quantum Logic Gates

Jing Mang Xu, Shou Zhang, 연규황 +1 more

Journal of the Korean Physical SocietyOct 1, 20060 citations

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.