Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics

Abstract

Three-level quantum systems, which possess some unique characteristics beyond two-level ones, such as electromagnetically induced transparency, coherent trapping, and Raman scatting, play important roles in solid-state quantum information processing. Here, we introduce an approach to implement the physically feasible threelevel transitionless quantum driving with multiple Schrödinger dynamics (MSDs). It can be used to control accurately population transfer and entanglement generation for three-level quantum systems in a nonadiabatic way. Moreover, we propose an experimentally realizable hybrid architecture, based on two nitrogen-vacancycenter ensembles coupled to a transmission line resonator, to realize our transitionless scheme which requires fewer physical resources and simple procedures, and it is more robust against environmental noises and control parameter variations than conventional adiabatic passage techniques. All these features inspire the further application of MSDs on robust quantum information processing in experiment.

High‐Fidelity Universal Quantum Controlled Gates on Electron‐Spin Qubits in Quantum Dots Inside Single‐Sided Optical Microcavities

“…In refs. [] it was proposed to significantly increase the fidelity of quantum gate by reducing the evolution time based on the shortcut to adiabaticity in decoherence‐free subspace, with artificial atom systems coupled with microresonators. These works are important for high‐fidelity quantum computing and inspiring for improving the robustness of our schemes further.…”

Fast generation of W states of superconducting qubits with multiple Schrödinger dynamics

“…In this section, we would like to review the multiple Schrödinger dynamics104105106 firstly. Assume that the original Hamiltonian of the system is H 0 ( t ).…”

“…Nevertheless, the operations usually cause some other problems or make some other limiting conditions to the protocols, for examples, there will be a limiting condition for the total operation time to generate the entangled states. Therefore, numerous protocols with different methods979899100101102103104105106107 have been further presented to avoid the problematic terms of the system’s Hamiltonian which is designed by TQD. Among of these methods979899100101102103104105106107, the multiple Schrödinger dynamics104105 is a very interesting method.…”

“…Subsequently, in 2013, Ibáñez et al 104 have studied the capabilities and limitations of superadiabatic iterations to construct a sequence of shortcuts to adiabaticity by iterative interaction pictures. Afterwards, Song et al 106 have investigated the physical feasibility of the multiple Schrödinger dynamics in a three-level systems, and obtained very interesting results in 2016. They have shown that the Hamiltonian of the interaction picture in the second iteration has the same form as the Hamiltonian in the original Schrödinger picture.…”

“…Inspired by the protocols in refs 104, 105, 106, as well as considering the advantages of the superconducting systems, we come up with a protocol for generating a W state of three SQs by using multiple Schrödinger dynamics. With the help of the multiple Schrödinger dynamics, a STAP is constructed, which greatly speeds up the evolution of the system.…”