Adiabatic passage for three-dimensional entanglement generation through quantum Zeno dynamics

Abstract

Abstract:We propose an adiabatic passage approach to generate two atoms threedimensional entanglement with the help of quantum Zeno dynamics in a timedependent interacting field. The atoms are trapped in two spatially separated cavities connected by a fiber, so that the individual addressing is needless. Because the scheme is based on the resonant interaction, the time required to generate entanglement is greatly shortened. Since the fields remain in vacuum state and all the atoms are in the ground states, the losses due to the excitation of photons and the spontaneous transition of atoms are suppressed efficiently compared with the dispersive protocols. Numerical simulation results show that the scheme is robust against the decoherences caused by the cavity decay and atomic spontaneous emission. Additionally, the scheme can be generalized to generate N -atom three-dimensional entanglement and high-dimensional entanglement for two spatially separated atoms.Keywords: quantum Zeno dynamics · Adiabatic passage · three-dimensional entanglement Quantum entanglement, an interesting and attractive phenomenon in quantum mechanics, plays a significant role not only in testing quantum nonlocality, but also in a variety of quantum information tasks [1][2][3][4][5][6][7][8], such as quantum computing [9-11], teleportation [4], cryptography [1], precision measurements [12] and so on. Recently, high-dimensional entanglement is becoming more and more important since they are more secure than qubit systems, especially in the aspect of quantum key distribution. Besides, it has been demonstrated that violations of local realism by two entangled high-dimensional systems are stronger than

Shortcuts to adiabaticity: Concepts, methods, and applications

“…Numerous setups and control designs have been proposed to generate large entangled states using STA methods and the QZD assumption, in particular large-N entangled W states Huang et al, 2016cHuang et al, , 2015Kang et al, 2016a,b;Song and Chen, 2016;Wang et al, 2016a;Yang et al, 2018;, or GHZ states Huang et al, 2016a,b;Shan et al, 2016;Xu et al, 2017;Ye et al, 2016;. Moreover, using the QZD scheme several authors presented various STA setups to create 3D-entanglement between atoms individually trapped in distant optical cavities connected by a fiber (Liang et al, 2015c;Lin et al, 2016;Wu et al, 2016a,b) or between two atoms trapped in a single cavity (He et al, 2016;Yang et al, 2017).…”

Adiabatic passage for one-step generation of n-qubit Greenberger–Horne–Zeilinger states of superconducting qubits via quantum Zeno dynamics

“…On the other hand, a lot of attention has been attracted to quantum Zeno effect which is an interesting phenomenon in quantum mechanics. Many recent works have been done for or based on quantum Zeno dynamics [30][31][32][33][34][35]. Recent studies show that a quantum Zeno evolution will evolve away from its initial state, but it remains in the Zeno subspace defined by the measurements via frequently projecting onto a multidimensional subspace [36,37].…”

Fast generations of tree-type three-dimensional entanglement via Lewis-Riesenfeld invariants and transitionless quantum driving

“…Besides, it has been demonstrated that violations of local realism by two entangled high-dimensional systems are stronger than that by two-dimensional systems 8 . Thus, much interest has been focused on the generation of high-dimensional entanglement in theory via various techniques including quantum Zeno dynamics (QZD) 9 10 11 , stimulated Raman adiabatic passage (STIRAP) 12 13 , and dissipative dynamics 14 15 . Also, experimental generations of high-dimensional entanglement have been already achieved 16 17 .…”