Fast and dephasing-tolerant preparation of steady Knill-Laflamme-Milburn states via dissipative Rydberg pumping

Zheng, Ri‐Hua; Xiao, Yang; Su, Shi‐Lei; Chen, Ye‐Hong; Shi, Zhi‐Cheng; Song, Jie; Xia, Yan; Zheng, Shi‐Biao

doi:10.1103/physreva.103.052402

Cited by 35 publications

(12 citation statements)

References 72 publications

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“…Faster evolution processes are needed to prevent the accumulation of implementation errors, as well as to suppress heat dissipation and entropy production [53]. Several active control protocols [54][55][56][57][58][59] have been developed to steer the evolution through welldesigned control fields. However, their experimental implementation remains a significant challenge to date.…”

Section: Introductionmentioning

confidence: 99%

“…Notably, the obtained QSL depends solely on the overlap between the initial and final prepared states, enabling a passive optimization over initial states. Our optimization scheme thus distinguishes itself from existing active ones [54][55][56][57][58][59] in that it requires no active controls during the evolution. In addition, it differs from existing passive ones [60,61] as it does not require knowledge of the eigen-spectrum of the Liouvillian super-operator.…”

Section: Introductionmentioning

confidence: 99%

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Initial-state dependent quantum speed limit for dissipative state preparation: Framework and optimization

Liu¹,

Nie²

2023

Preprint

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Dissipation has traditionally been considered a hindrance to quantum information processing, but recent studies have shown that it can be harnessed to generate desired quantum states. To be useful for practical applications, the ability to speed up the dissipative evolution is crucial. In this study, we focus on a Markovian dissipative state preparation scheme where the prepared state is one of the energy eigenstates. We derive an initial-state-dependent quantum speed limit (QSL) that offers a more refined measure of the actual evolution time compared to the commonly used initial-state-independent relaxation time. This allows for a passive optimization of dissipative evolution across different initial states. By minimizing the dissipated heat during the preparation process, conditioned on the minimization of evolution time using the QSL, we find that the preferred initial state has a specific permutation of diagonal elements with respect to an ordered energy eigenbasis of increasing eigenvalues. In this configuration, the population on the prepared state is the largest, and the remaining diagonal elements are sorted in an order resembling that of a passive state in the same ordered energy eigenbasis. We demonstrate the effectiveness of our strategy in a dissipative Rydberg atom system for preparing the Bell state. Our work provides new insights into the optimization of dissipative state preparation processes and could have significant implications for practical quantum technologies.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Initial-state dependent quantum speed limit for dissipative state preparation: Framework and optimization

Liu¹,

Nie²

2023

Preprint

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“…To date, many NHQC+ schemes have been put forward in different physical systems, for example, superconducting circuit [28][29][30], spin qubits [31,32], and Rydberg atoms [33][34][35][36]. The Rydberg atom system is one promising candidate platform for physical implementation of quantum computing due to its long coherence time and strong interatomic interaction [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51]. In Rydberg atom systems, the most representative phenomenon is Rydberg blockade [52,53].…”

Section: Introductionmentioning

confidence: 99%

Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms

Liu¹,

Shen²,

Zheng³

et al. 2021

Preprint

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In this paper, we propose a scheme for implementing the nonadiabatic holonomic quantum computation (NHQC+) of two Rydberg atoms by using invariant-based reverse engineering (IBRE). The scheme is based on Förster resonance induced by strong dipole-dipole interaction between two Rydberg atoms, which provides a selective coupling mechanism to simply the dynamics of system. Moreover, for improving the fidelity of the scheme, the optimal control method is introduced to enhance the gate robustness against systematic errors. Numerical simulations show the scheme is robust against the random noise in control fields, the deviation of dipole-dipole interaction, the Förster defect, and the spontaneous emission of atoms. Therefore, the scheme may provide some useful perspectives for the realization of quantum computation with Rydberg atoms.

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“…Motivated by these progress, researchers devote themselves to the fast and dephasingtolerant preparation of steady KLM states via dissipative Rydberg pumping. [15] Following these works, in this Letter we present an alternative concrete scheme for the dissipative production of bipartite KLM state involving the single-atom dark state induced by the the coherent population trapping. Our scheme has the following characteristics: (i) In contrast to the Rydberg-antiblock-based dissipative schemes, [61,62] the RRI between two Rydberg atoms is particularly utilized as pumping source to drive the undesired states to high-excitation subspace, i.e., the scheme works under the blockade condition, so that the RRI does not need to satisfy a certain relation with laser detuning.…”

mentioning

confidence: 96%

“…As described in the previous works, a KLM state is a distinct class of entangled multiparticle states, which is usually defined as the superposition of respective basic states. [15] Another essential feature is that its entanglement is highly robust against the qubit loss, even in the absence of anyone of qubits, the remaining particles are still entangled, as opposed to a usual Greenberger-Horne-Zeilinger state. [16,17] Since then, much effort has been devoted to preparation of the KLM-type quantum entanglement with different physical platforms, e.g., linear optics, [18] atom-cavity quantum electrodynamics, [19][20][21] nonlinear cross-Kerr medium, [22] and artificial atom.…”

mentioning

confidence: 99%

Engineering Knill–Laflamme–Milburn Entanglement via Dissipation and Coherent Population Trapping in Rydberg Atoms

Zhang

et al. 2023

Chinese Phys. Lett.

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A scheme for dissipatively preparing bipartite Knill-Lafamme-Milburn (KLM) entangled state in the neutral atom system, where the spontaneous emission of excited Rydberg states, combined with the coherent population trapping, is actively exploited to engineer a steady KLM state from an arbitrary initial state. Instead of commonly used antiblockade dynamics of two Rydberg atoms, we particularly utilize the Rydberg-Rydberg interaction (RRI) as the pumping source to drive the undesired states so that it is not necessary to satisfy a certain relation with laser detuning. The numerical simulation of the master equation signifies that both the fidelity and the purity above 98% is available with the current feasible parameters, and the corresponding steady-state fidelity is robust to the variations of the dynamical parameters.

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Fast and dephasing-tolerant preparation of steady Knill-Laflamme-Milburn states via dissipative Rydberg pumping

Cited by 35 publications

References 72 publications

Initial-state dependent quantum speed limit for dissipative state preparation: Framework and optimization

Initial-state dependent quantum speed limit for dissipative state preparation: Framework and optimization

Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms

Engineering Knill–Laflamme–Milburn Entanglement via Dissipation and Coherent Population Trapping in Rydberg Atoms

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