Deterministic interconversion of GHZ state and KLM state via Lie-transform-based pulse design in Rydberg atoms

• URL: http://arxiv.org/abs/2405.15456v1
• Date: Fri, 24 May 2024 11:33:40 GMT
• Title: Deterministic interconversion of GHZ state and KLM state via Lie-transform-based pulse design in Rydberg atoms
• Authors: J. P. Wang, Y. Q. Ji, L. P. Yang, C. Q. Wang, L. Dong, X. M. Xiu,
• Abstract summary: We propose a scheme to realize the interconversion between GHZ state and KLM state with Rydberg atoms. The numerical simulation result shows that the present scheme is robust against decoherence and operational imperfection.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Conversion between different types of entangled states is an interesting problem in quantum mechanics. But research on the conversion between Greenberger-Horne-Zeilinger (GHZ) state and Knill-Laflamme-Milburn (KLM) state in atomic system is absent. In this paper, we propose a scheme to realize the interconversion (one-step) between GHZ state and KLM state with Rydberg atoms. By utilizing Rydberg-mediated interactions, we simplify the system. By combining Lie-transform-based pulse design, the evolution path is built up to realize interconversion of GHZ state and KLM state. The numerical simulation result shows that the present scheme is robust against decoherence and operational imperfection, the analysis shows that the scheme is feasible with current experimental technology.

Related papers

• Neural-network quantum states for ultra-cold Fermi gases [49.725105678823915]
  This work introduces a novel Pfaffian-Jastrow neural-network quantum state that includes backflow transformation based on message-passing architecture. We observe the emergence of strong pairing correlations through the opposite-spin pair distribution functions. Our findings suggest that neural-network quantum states provide a promising strategy for studying ultra-cold Fermi gases.
  arXiv  Detail & Related papers  (2023-05-15T17:46:09Z)
• High-fidelity interconversion between Greenberger-Horne-Zeilinger and $W$ states through Floquet-Lindblad engineering in Rydberg atom arrays [1.3124513975412255]
  Greenberger-Horne-Zeilinger and W states feature genuine tripartite entanglement that cannot be converted into each other by local operations and classical communication. We present a dissipative protocol for deterministic interconversion between Greenberger-Horne-Zeilinger and W states of three neutral $87$Rb atoms arranged in an equilateral triangle of a two-dimensional array.
  arXiv  Detail & Related papers  (2023-03-23T05:06:18Z)
• Quantum process tomography of continuous-variable gates using coherent states [49.299443295581064]
  We demonstrate the use of coherent-state quantum process tomography (csQPT) for a bosonic-mode superconducting circuit. We show results for this method by characterizing a logical quantum gate constructed using displacement and SNAP operations on an encoded qubit.
  arXiv  Detail & Related papers  (2023-03-02T18:08:08Z)
• Accessing the topological Mott insulator in cold atom quantum simulators with realistic Rydberg dressing [58.720142291102135]
  We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices. We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation. We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
  arXiv  Detail & Related papers  (2022-03-28T14:55:28Z)
• Dynamical generation of chiral $W$ and Greenberger-Horne-Zeilinger states in laser-controlled Rydberg-atom trimers [0.0]
  We show that starting from twisted -- rather than ordinary -- $W$ states is equivalent to renormalizing downwards the relevant Rabi frequencies. While this leads to somewhat longer state-conversion times, we also demonstrate that those times are at least two orders of magnitude shorter than typical lifetimes of relevant Rydberg states.
  arXiv  Detail & Related papers  (2021-11-18T14:26:37Z)
• Electron cloud design for Rydberg multi-qubit gates [0.0]
  This article proposes quantum processing in an optical lattice, using Rydberg electron's Fermi scattering from ground-state atoms. The interaction is controlled by engineering the electron cloud of a sole Rydberg atom. The features in the new scheme are of special interest for the implementation of quantum optimization and error correction algorithms.
  arXiv  Detail & Related papers  (2021-11-02T13:17:10Z)
• Conversion from $W$ to Greenberger-Horne-Zeilinger states in the Rydberg-blockade regime of neutral-atom systems: Dynamical-symmetry-based approach [0.0]
  We investigate the possibilities for a deterministic conversion between two important types of maximally entangled multiqubit states. $W$ and Greenberger-Horne-Zeilinger (GHZ) states, in the Rydberg-blockade regime of a neutral-atom system.
  arXiv  Detail & Related papers  (2020-12-30T14:21:56Z)
• Bose-Einstein condensate soliton qubit states for metrological applications [58.720142291102135]
  We propose novel quantum metrology applications with two soliton qubit states. Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
  arXiv  Detail & Related papers  (2020-11-26T09:05:06Z)
• Optimized Geometric Quantum Computation with mesoscopic ensemble of Rydberg Atoms [1.3124513975412255]
  We propose a nonadiabatic non-Abelian geometric quantum operation scheme to realize universal quantum computation with Rydberg atoms. We demonstrate theoretically that both the single qubit and two-qubit quantum gates can achieve high fidelities around or above 99.9% in ideal situations. Our numerical simulations show that the average fidelity could be 99.98% for single ensemble qubit gate and 99.94% for two-qubit gate even when the Rabi frequency of the gate laser acquires 10% fluctuations.
  arXiv  Detail & Related papers  (2020-09-08T13:11:22Z)
• Quantum-optimal-control-inspired ansatz for variational quantum algorithms [105.54048699217668]
  A central component of variational quantum algorithms (VQA) is the state-preparation circuit, also known as ansatz or variational form. Here, we show that this approach is not always advantageous by introducing ans"atze that incorporate symmetry-breaking unitaries. This work constitutes a first step towards the development of a more general class of symmetry-breaking ans"atze with applications to physics and chemistry problems.
  arXiv  Detail & Related papers  (2020-08-03T18:00:05Z)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.