Effect of dephasing on single-qubit rotation gates

Abstract

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 ≪ 1.

Effect of dephasing on superadiabatic three-level quantum driving

“…This is the so-called jump evolution. If a jump occurs at time t j , the states of the system collapse to the state |0 which is given in terms of instantaneous eigenstates by [12] …”

“…The effect of the dephasing on STIRAP has been explored by various authors [9][10][11][12][13][14]. For example, Lacour et al [13] analyzed the population transfer in the presence of dephasing and optimized the fidelity.…”

“…where 0 = | p | 2 + | s | 2 , and their corresponding eigenstates are given by the following states [12]:…”

Robust stimulated Raman shortcuts to adiabatic passage with deep learning

“…So, the DRL is the preferable tool for that Motivated by a recent experimental demonstration of digital control on trapped 171 Yb + ion using DRL [29], let us investigate if in our model the DRL agent can find digital Stokes and pump fields in case we want to restrict to fixed values of the duration of the evolution T , the number of digital pulses N , and Ω max . To accelerate the onvergence, we use the idea of reversed STIRAP where the Stokes and pump fields are switched on counterintuitively [8,30] and rewarding the agent at the beginning and at T /2 when the Stokes and pump fields are close to zero. Since we are using the reverse counterintuitive property, the fields in the time interval [0, T/2] are reversed for the time [T /2, T ].…”