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

Shi, Xiaojie

doi:10.1103/physrevapplied.14.054058

Cited by 20 publications

(14 citation statements)

References 91 publications

(301 reference statements)

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“…It is an open question whether by choosing appropriate ratio between ∆ and the Rydberg Rabi frequencies can we generate a C Z gate with one step. This should be possible since for alkalimetal atoms, fast C Z -like gates [22] or CNOT gates [106] can be generated with effective one-pulse sequences.…”

Section: Discussionmentioning

confidence: 99%

“…Because the adiabatic elimination of the intermediate states, there will be Stark shifts for the states |1 and |r . To compensate them, we assume that careful calibration is made by, e.g., adding extra highly off-resonant fields [17,106], to induce effective shifts…”

Section: (δ1+δ2)mentioning

confidence: 99%

“…We have −δ 2 = 2π × 5.94 GHz according to [88,93]. By deriving the effective Rabi frequency, there is some stark shift which we assume to be compensated by calibrating the detunings, field amplitudes, and if necessary, extra highly off-resonant dressing fields [17,106]. In numerical simulations these shifts are included, shown in Eqs.…”

Section: And Cmentioning

confidence: 99%

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Rydberg quantum computation with nuclear spins in two-electron neutral atoms

Shi

2021

Preprint

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Alkaline-earth-like (AEL) atoms with two valence electrons and a nonzero nuclear spin can be excited to Rydberg state for quantum computing. Typical AEL ground states possess no hyperfine splitting, but unfortunately a GHz-scale splitting seems necessary for Rydberg excitation. Though strong magnetic fields can induce a GHz-scale splitting, weak fields are desirable to avoid noise in experiments. Here, we provide two solutions to this outstanding challenge with realistic data of wellstudied AEL isotopes. In the first theory, the two nuclear spin qubit states |0 and |1 are excited to Rydberg states |r with detuning ∆ and 0, respectively, where a MHz-scale detuning ∆ arises from a weak magnetic field on the order of 1 G. With a proper ratio between ∆ and Ω, the qubit state |1 can be fully excited to the Rydberg state while |0 remains there. In the second theory, we show that by choosing appropriate intermediate states a two-photon Rydberg excitation can proceed with only one nuclear spin qubit state. The second theory is applicable whatever the magnitude of the magnetic field is. These theories bring a versatile means for quantum computation by combining the broad applicability of Rydberg blockade and the incomparable advantages of nuclear-spin quantum memory in two-electron neutral atoms.

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Section: Discussionmentioning

confidence: 99%

Section: (δ1+δ2)mentioning

confidence: 99%

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Rydberg quantum computation with nuclear spins in two-electron neutral atoms

Shi

2021

Preprint

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“…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]. More recently, the transition slow-down effect can lead to an accurate AS-CNOT gate with a sub-microsecond duration by two pulses while still working in the strong blockade regime [37].…”

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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“…Owing to the powerful Rydberg-Rydberg interaction (RRI), the Rydberg excitation of an atom will cause large energy shifts of its adjacent atoms and thus prohibit their resonant Rydberg excitation, that is, Rydberg blockade [1][2][3][4]. As one of the most representative phenomena observed in neutral atomic systems [5,6], Rydberg blockade has facilitated various quantum gate schemes proposed for quantum computation [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. In contrast to the Rydberg blockade, Rydberg antiblokade (RAB) [24][25][26][27][28][29] provides another way of quantum gates [30][31][32][33][34][35][36].…”

mentioning

confidence: 99%

Unselective ground-state blockade of Rydberg atoms for implementing quantum gates

Wu,

Wang,

Han

et al. 2021

Preprint

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A dynamics regime of Rydberg atoms, unselective ground-state blockade (UGSB), is proposed in the context of Rydberg antiblockade (RAB), where the evolution of two atoms is suppressed when they populate in an identical ground state. UGSB is used to implement a SWAP gate in one step without individual addressing of atoms. Aiming at circumventing common issues in RABbased gates including atomic decay, Doppler dephasing, and fluctuations in the interatomic coupling strength, we modify the RAB condition to achieve a dynamical SWAP gate whose robustness is much greater than that of the nonadiabatic holonomic one in the conventional RAB regime. In addition, on the basis of the proposed SWAP gates, we further investigate the implementation of a threeatom Fredkin gate by combining Rydberg blockade and RAB. The present work may facilitate to implement the RAB-based gates of strongly coupled atoms in experiment.

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

Cited by 20 publications

References 91 publications

Rydberg quantum computation with nuclear spins in two-electron neutral atoms

Rydberg quantum computation with nuclear spins in two-electron neutral atoms

Optimal model for fewer-qubit CNOT gates with Rydberg atoms

Unselective ground-state blockade of Rydberg atoms for implementing quantum gates

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