Fast CNOT gate between two spatially separated atoms via shortcuts to adiabatic passage

Abstract

Quantum logic gate is indispensable to quantum computation. One of the important qubit operations is the quantum controlled-not (CNOT) gate that performs a NOT operation on a target qubit depending on the state of the control qubit. In this paper we present a scheme to realize the quantum CNOT gate between two spatially separated atoms via shortcuts to adiabatic passage. The influence of various decoherence processes on the fidelity is discussed. The strict numerical simulation results show that the fidelity for the CNOT gate is relatively high.

Shortcuts to adiabaticity: Concepts, methods, and applications

“…Different STA-enhanced quantum gates were designed within the QZD condition. For example, invariant-based inverse engineering was used to develop Toffoli gates , phase gates (Chen et al, 2015a;Liang et al, 2015d), CNOT gates (Liang et al, 2015b), or swap gates (Liang et al, 2015a). Wu et al (2017a) use the dressed-state method to design a fast CNOT gate in a cavity QED system which consists of two identical five-level atoms in two single-mode optical cavities connected by a fiber.…”

“…As well, shortcuts have been proposed to produce single photons on demand in an atom-cavity system approximated by three levels (Shi and Wei, 2015). A Toffoli Cavity QED QZD+Invariants Santos and Sarandy (2015) Universal gates N qubits CD driving Chen et al (2015a) Phase Cavity QED QZD+Invariants Liang et al (2015d) Phase Cavity QED QZD+Invariants Liang et al (2015b) CNOT Cavity QED QZD+Invariants Liang et al (2015a) Swap Cavity QED QZD+Invariants Zhang et al (2015a) Non-Abelian geometric Superconducting transmon CD driving Santos et al (2016) N-qubit Four-level system CD driving Song et al (2016d) 1-and 2-qubit holonomic NV centers CD driving Liang et al (2016) Non-Abelian geometric NV centers CD driving Two-qubit phase Two trapped ions Invariants Du et al (2017) Non-Abelian geometric NV centers CD driving Wu et al (2017a) CNOT Cavity QED QZD+Dressed-state scheme Santos (2018) Single-and Two-qubit Two-and Four-level system Inverse engineering Liu et al (2018) Non-Abelian geometric NV centers Invariants Wang et al (2018) Single-qubit Superconducting Xmon qubit CD driving Shen and Su (2018) Two-qubit controlled phase Two Rydberg atoms Invariants Ritland and Rahmani (2018) Majorana Top transmon OCT for noise cancelling Li et al (2018b) 1-Qubit gate&transport Double quantum dot Inverse engineering Yan et al (2019a) Non-Abelian geometric Superconducting Xmon qubit CD driving Lv et al (2019) Non-cyclic geometric Two-level atom CD driving Santos et al (2019) Single qubit Nuclear Magnetic Resonance CD driving Qi and Jing (2019) Single and double-qubit holonomic Rydberg atoms CD driving system of distant nodes in two-dimensional networks (cavities with a Λ-type atom) is approximated by a three-level Λ system in Zhong (2016) and then STA techniques are applied to achieve fast information transfer.…”

Generation of atomic NOON states via shortcuts to adiabatic passage

“…Shortcuts to adiabaticity " [35,36] are alternative fast processes which reproduce the same final populations, or even the same final state with shorter time compared with the adiabatic process. Thus, a variety of schemes have been proposed to construct shortcuts to adiabatic passage in both the theory and experiment [37][38][39][40][41][42][43]. Recently, Schloss et al proposed a scheme of shortcuts to adiabaticity used to create maximally entangled many-body NOON states in one-dimensional Tonks-Girardeau gases [44].…”

Fast adiabatic quantum state transfer and entanglement generation between two atoms via dressed states

“…On one hand, a transitionless-based direct coupling between the initial state and the target state is too hard to be obtained experimentally313233. On the other hand, in some schemes3435363738, invariants-based driving pulses are not smoothly turned on or off and thus lead to severe impediments in experiment.…”