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

Liu, Shuai; Shen, Jun-Hui; Zheng, Ri‐Hua; Kang, Yi‐Hao; Shi, Zhi‐Cheng; Song, Jie; Xia, Yan

doi:10.1007/s11467-021-1108-3

Cited by 22 publications

(8 citation statements)

References 86 publications

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“…Recently, NGQC is shown to be compatible with optimal control methods [34][35][36]. Assisted by optimal control methods, NGQC can be implemented with robustness against systematic errors [37][38][39][40][41]. The above results indicate that NGQC holds comprehensive resistance to systematic errors, random noise, and decoherence.…”

Section: Introductionmentioning

confidence: 87%

Effective implementation of nonadiabatic geometric quantum gates of cat-state qubits using an auxiliary qutrit

et al. 2023

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We propose an effective protocol for the implementation ofnonadiabatic geometric quantum gates of cat-state qubits inKerr-nonlinear resonators driven by two-photon squeezing drives.Coupling the Kerr-nonlinear resonators with an auxiliary qutrit withproper coupling strengths, the selective transition of the auxiliaryqutrit is realized. The selective transition can be exploited in theimplementation of a set of useful quantum gates, including the phasegates, the NOT gates, the controlled-phase gates, the controlled NOTgates, and the Toffoli gates. Numerical simulations show theimplementations of different types of gates are robust againstsystematic errors, random noise, and decoherence. Therefore, theprotocol may be helpful for robust and scalable quantum computationbased on cat-state qubits.

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Section: Introductionmentioning

confidence: 87%

Effective implementation of nonadiabatic geometric quantum gates of cat-state qubits using an auxiliary qutrit

et al. 2023

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“…A variety of error sources limit gate fidelities in experiments, including a finite Rydberg blockade strength, decay of the Rydberg state, scattering of an intermediate state in a two photon transition, laser phase noise, variations of the laser intensity with the position of the atom in the trap and Doppler shifts of the laser frequency due to thermal motion of the atoms [22,27,28]. To mitigate the effects of these errors, many different improvements of the original protocol [18] have been proposed based on adiabatic passage [29][30][31][32][33][34], dark state mechanisms [35], Rydberg Antiblockade [34,36,37], and many other approaches [19,[38][39][40][41]. It is increasingly recognized that all these approaches can benefit from quantum optimal control methods to improve both the speed and fidelities of the various quantum gates.…”

Section: Introductionmentioning

confidence: 99%

Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms

Jandura

Pupillo

2022

Quantum

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We identify time-optimal laser pulses to implement the controlled-Z gate and its three qubit generalization, the C2Z gate, for Rydberg atoms in the blockade regime. Pulses are optimized using a combination of numerical and semi-analytical quantum optimal control techniques that result in smooth Ansätze with just a few variational parameters. For the CZ gate, the time-optimal implementation corresponds to a global laser pulse that does not require single site addressability of the atoms, simplifying experimental implementation of the gate. We employ quantum optimal control techniques to mitigate errors arising due to the finite lifetime of Rydberg states and finite blockade strengths, while several other types of errors affecting the gates are directly mitigated by the short gate duration. For the considered error sources, we achieve theoretical gate fidelities compatible with error correction using reasonable experimental parameters for CZ and C2Z gates.

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“…Based on these models [5][6][7], the interaction of different types of atoms with various light fields [8][9][10][11][12][13] has been extensively studied and many interesting quantum optical phenomena have been probed, such as vacuum Rabi splitting [14], squeezing phenomena of optical fields [15][16][17], single photon blockade [18], and so on. Furthermore, many schemes for quantum information and quantum computation using atom-cavity-coupled systems have been proposed, for examples, realizations of quantum gates [19,20], generations of entangled states [21][22][23][24][25][26][27][28], operations of a quantum phase gate [29], and so on [30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

“…In the above schemes [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36], one premise of realizing quantum information and quantum computation using atom-cavity-coupled systems is to trap atoms in a cavity. Therefore, the ability to nondestructively detect the presence of atoms in a cavity is very important for quantum information processing.…”

Section: Introductionmentioning

confidence: 99%

Detecting a single atom in a cavity using the $χ^{(2)}$ nonlinear medium

Chen¹,

Chen²,

Liu³

et al. 2022

Preprint

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We propose a protocol for detecting a single atom in a cavity with the help of the χ (2) nonlinear medium. When the χ (2) nonlinear medium is driven by an external laser field, the cavity mode will be squeezed, and thus one can obtain an exponentially enhanced light-matter coupling. Such a strong coupling between the atom and the cavity field can significantly change the output photon flux, the quantum fluctuations, the quantum statistical property, and the photon number distributions of the cavity field. This provides practical strategies to determine the presence or absence of an atom in a cavity. The proposed protocol exhibits some advantages, such as controllable squeezing strength and exponential increase of atom-cavity coupling strength, which make the experimental phenomenon more obvious. We hope that this protocol can supplement the existing intracavity single-atom detection protocols and provide a promise for quantum sensing in different quantum systems.

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

Cited by 22 publications

References 86 publications

Effective implementation of nonadiabatic geometric quantum gates of cat-state qubits using an auxiliary qutrit

Effective implementation of nonadiabatic geometric quantum gates of cat-state qubits using an auxiliary qutrit

Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms

Detecting a single atom in a cavity using the $χ^{(2)}$ nonlinear medium

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