Preparation of Steady 3D Dark State Entanglement in Dissipative Rydberg Atoms via Electromagnetic Induced Transparency

Abstract

A scheme to prepare a 3D entangled state between a pair of Rydberg atoms via dissipative dynamics and electromagnetic induced transparency associated with the single‐atom dark state is proposed. The prepared entangled state is the dark state of the whole system. The scheme is also feasible regardless of initial purity or mixed state. Since the proposed scheme is based on the Rydberg block regime, the Rydberg–Rydberg interaction strength does not need to satisfy a certain relation with laser detuning, which is very different to the Rydberg‐antiblock‐based dissipative schemes. One group of Rydberg states and corresponding parameters to simulate the fidelity are used, which verify the feasibility of the scheme.

Dissipative engineering of a tripartite Greenberger–Horne–Zeilinger state for neutral atoms

“…Accordingly, the equivalent Rabi frequency corresponding to the is the subscript for the corresponding Rabi frequency) in our scheme can be continuously tuned by the programmable Rabi frequencies and detunings of the two‐step transition. Referring to the References 14,71,72,90‐93, the decay rate of the temporary state and Rydberg state can be regarded as MHz (or MHz) and kHz. These can be also calculated via the analytical formula for estimating the effective lifetime in Reference 94, where the comparison between the calculations of effective lifetimes of Rydberg states and the corresponding experimental data has been provided.…”

“…In Figure 9, we investigate the influence of the fluctuation of the interatomic distance on the dynamical evolution for the population P 000 + P 111 governed by the switching driving of H S 1 and H S 2 . The Rydberg state is | r ⟩ ≡ |62 s 1/2 ⟩ of Rb atom and the corresponding Rydberg–Rydberg interaction is U rr = C 6 / r 6 , where GHz m 6 71,72 and r denotes the interatomic distances. The other relevant parameters are chosen as kHz, kHz, and .…”

“…On the other hand, this model relies on the precise antiblockade conditions which are very sensitive to the interatomic distance as U = C 6 / r 6 ( C 6 depends on the quantum numbers of the Rydberg state and r denotes the interatomic distance). In Figure 4, we analyze the sensitivity of interatomic distance for the scheme, where the Rydberg state | r ⟩ ≡ |62 s 1/2 ⟩ of Rb atom is considered and GHz m 6 71,72 . While the interatomic distance just changes 0.001 nm, the population of the target state will decrease from 99 % to 95 % .…”

Conversion of Knill–Laflamme–Milburn Entanglement to Greenberger–Horne–Zeilinger Entanglement in Decoherence‐Free Subspace

“…Dynamical decoupling control is a method to minimize unnecessary system-cavity interactions in open quantum system, but it could not avoid all unitary errors completely. [98] Among these methods, DFS has been widely concerned since it is a subspace of all quantum states in the unitary evolution of quantum system. By coding the logical qubit information into DFS, the initial quantum state may change, while the initial quantum information will remain unchanged.…”

Distinguishment of Greenberger–Horne–Zeilinger States in Rydberg Atoms via Noncyclic Geometric Quantum Computation

“…Rydberg blockade has been demonstrated experimentally, [46,47] and employed to construct quantum gate [48][49][50][51][52][53][54] and generate quantum entanglement. [55,56] Moreover, recent theoretical works [57][58][59][60][61][62][63][64][65] and experimental progress [66][67][68][69][70][71][72][73][74][75] have indicated the great application value of Rydberg atoms in QIP. These studies lay a foundation for quantum computation based on Rydberg atoms.…”