Rydberg Atom Entanglements in the Weak Coupling Regime

Jo, Hanlae; Song, Yunheung; Kim, Minhyuk; Ahn, Jaewook

doi:10.1103/physrevlett.124.033603

Cited by 52 publications

(63 citation statements)

References 32 publications

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“…Due to the large polarizability, Rydberg atoms experience strong and long-range van der Waals interaction V jk = C 6 /R 6 jk (corresponding to the Ising interaction in Hamiltonian Ĥ) with C 6 being the dispersion coefficient and R jk the inter-atom distance [55,73,[77][78][79]. We will demonstrate that the strong Rydberg-Rydberg interactions (RRI), precise control of atom positions with optical tweezer arrays [80][81][82][83][84] and of laser pulses allow to achieve high-fidelity multiqubit gates.…”

Section: Realization With a Rydberg Atom Arraymentioning

confidence: 91%

“…Specifically, we choose hyperfine ground states |0(1)⟩ ≡ |5S 1/2 , F = 1(2), m F = 0⟩ [83], and a Rydberg state |r⟩ ≡ |70S 1/2 ⟩ with C 6 /2π = 858.4 GHz • µm 6 of 87 Rb atoms [72,80,81,83,89]. The transition |0⟩(|1⟩) ↔ |r⟩ is driven through a two-photon process (see Appendix B for details), as demonstrated in recent experiments [72,80,81,83,84,90]. The control-target separation d i = 3.8 µm results to V jt = 2π × 285.1 MHz.…”

Section: B Multiqubit Nhqc Gatesmentioning

confidence: 99%

“…In order to implement holonomic gates with Rydberg atoms, the Rydberg pumping from a ground state a Rydberg state can be achieved by a two-photon process [72,80,81,83,84,90] in Rb atoms or a single-photon process [82] in Cs atoms. Here we consider related energy levels of 87 The quantities used directly for holonomic gates are Ωc = Ωcr Ω cp /2δ c , Ω 0 (t) = Ω 0r Ω 0p (t)/2δ 0 , and Ω 1 (t) = Ω 1r Ω 1p (t)/2δ 1 .…”

Section: Appendix B: Two-photon Rydberg Pumpingmentioning

confidence: 99%

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Systematic-Error-Tolerant Multiqubit Holonomic Entangling Gates

Wang

Han

et al. 2021

Phys. Rev. Applied

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Quantum holonomic gates hold built-in resilience to local noises and provide a promising approach for implementing fault-tolerant quantum computation. We propose to realize high-fidelity holonomic (N + 1)-qubit controlled gates using Rydberg atoms confined in optical arrays or superconducting circuits. We identify the scheme, deduce the effective multi-body Hamiltonian, and determine the working condition of the multiqubit gate. Uniquely, the multiqubit gate is immune to systematic errors, i.e., laser parameter fluctuations and motional dephasing, as the N control atoms largely remain in the much stable qubit space during the operation. We show that CN -NOT gates can reach same level of fidelity at a given gate time for N ≤ 5 under a suitable choice of parameters, and the gate tolerance against errors in systematic parameters can be further enhanced through optimal pulse engineering. In case of Rydberg atoms, the proposed protocol is intrinsically different from typical schemes based on Rydberg blockade or antiblockade. Our study paves a new route to build robust multiqubit gates with Rydberg atoms trapped in optical arrays or with superconducting circuits. It contributes to current efforts in developing scalable quantum computation with trapped atoms and fabricable superconducting devices.

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Section: Realization With a Rydberg Atom Arraymentioning

confidence: 91%

Section: B Multiqubit Nhqc Gatesmentioning

confidence: 99%

Section: Appendix B: Two-photon Rydberg Pumpingmentioning

confidence: 99%

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Systematic-Error-Tolerant Multiqubit Holonomic Entangling Gates

Wang

Han

et al. 2021

Phys. Rev. Applied

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show abstract

“…Such as in the pioneer work [27], authors used seven pulses for the AS-CNOT gate and five pulses for the H-C Z -CNOT gate. Subsequent schemes for AS-CNOT gates could work with three laser pulses [29], even in the weak interaction regime without any rotation errors [30,31]. Other achievements towards H-C Z -CNOT gates used an "one-step implementation" to form a fast C Z gate [32][33][34][35], but requiring extra singlequbit Hadamard operations which render the total gate duration elongated [36].…”

Section: Introductionmentioning

confidence: 99%

Optimal model for fewer-qubit CNOT gates with Rydberg atoms

Li¹,

Li²,

Yu³

et al. 2021

Preprint

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Fewer-qubit quantum logic gate, serving as a basic unit for constructing universal multiqubit gates, has been widely applied in quantum computing and quantum information. However, traditional constructions for fewer-qubit gates often utilize a multi-pulse protocol which inevitably suffers from serious intrinsic errors during the gate execution. In this article, we report an optimal model about universal two-and three-qubit CNOT gates mediated by excitation to Rydberg states with easily-accessible van der Waals interactions. This gate depends on a global optimization to implement amplitude and phase modulated pulses via genetic algorithm, which can facilitate the gate operation with fewer optical pulses. Compared to conventional multi-pulse piecewise schemes, our gate can be realized by simultaneous excitation of atoms to the Rydberg states, saving the time for multi-pulse switching at different spatial locations. Our numerical simulations show that a single-pulse two(three)-qubit CNOT gate is possibly achieved with a fidelity of 99.23%(90.39%) for two qubits separated by 7.10 µm when the fluctuation of Rydberg interactions is excluded. Our work is promising for achieving fast and convenient multiqubit quantum computing in the study of neutral-atom quantum technology.

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“…Though Rydberg atoms have kindled the flame for the ambition to large-scale quantum computing [1][2][3][4][5], and recent experiments demonstrated remarkable advances [38][39][40][41][42][43][44][45][46][47][48][49][50], further progress toward neutral-atom quantum computing is hindered by the difficulty to prepare a fast and accurate CNOT. This is partly because each of those CNOT gates was realized via combining an EA-based controlled-Z (C Z ) and a series of single-qubit gates [39][40][41][42][43][44], leading to CNOT durations dominated by single-qubit operations (e.g., over 4 µs in [43,44]).…”

Section: Introductionmentioning

confidence: 99%

Transition Slow-Down by Rydberg Interaction of Neutral Atoms and a Fast Controlled-not Quantum Gate

Shi

2020

Phys. Rev. Applied

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Exploring controllable interactions lies at the heart of quantum science. Neutral Rydberg atoms provide a versatile route toward flexible interactions between single quanta. Previous efforts mainly focused on the excitation annihilation (EA) effect of the Rydberg blockade due to its robustness against interaction fluctuation. We study another effect of the Rydberg blockade, namely, the transition slowdown (TSD). In TSD, a ground-Rydberg cycling in one atom slows down a Rydberginvolved state transition of a nearby atom, which is in contrast to EA that annihilates a presumed state transition. TSD can lead to an accurate controlled-NOT (CNOT) gate with a sub-µs duration about 2π/Ω + ǫ by two pulses, where ǫ is a negligible transient time to implement a phase change in the pulse and Ω is the Rydberg Rabi frequency. The speedy and accurate TSD-based CNOT makes neutral atoms comparable (superior) to superconducting (ion-trap) systems.

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Rydberg Atom Entanglements in the Weak Coupling Regime

Cited by 52 publications

References 32 publications

Systematic-Error-Tolerant Multiqubit Holonomic Entangling Gates

Systematic-Error-Tolerant Multiqubit Holonomic Entangling Gates

Optimal model for fewer-qubit CNOT gates with Rydberg atoms

Transition Slow-Down by Rydberg Interaction of Neutral Atoms and a Fast Controlled-not Quantum Gate

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