Holonomic quantum computation in the ultrastrong-coupling regime of circuit QED

Wang, Yimin; Zhang, Jiang; Wu, Chunfeng; You, J. Q.; Romero, G.

doi:10.1103/physreva.94.012328

Cited by 86 publications

(72 citation statements)

References 54 publications

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“…Moreover, figure 3(b) implies that, despite the differences in l and h¢ , the cumulant ratio U X collapse into a single curve when appropriately scaled. This unambiguously reveals the observable-dependent scaling function  n in equation (13). Therefore, we can draw the same conclusion as that in [25], which is, in a word, the AQRM with finite anisotropy of l 1 0 is of the same universality class as the QRM.…”

Section: Fidelity Susceptibility With Aqrmsupporting

confidence: 75%

“…In these regimes, the celebrated rotating-wave approximation (RWA) breaks down and the quantum Rabi model (QRM) is invoked [6,7]. In addition to the relatively complex quantum dynamics provided by the QRM, it brings about novel quantum phenomena [8][9][10] and challenges in implementing quantum information tasks [11][12][13][14]. Although exciting, natural implementations of the QRM in the USC/DSC regime in other platforms remain very challenging since they are confined by fundamental limitations.…”

Section: Introductionmentioning

confidence: 99%

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Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model

et al. 2018

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Promising applications of the anisotropic quantum Rabi model (AQRM) in broad parameter ranges are explored, which is realized with superconducting flux qubits simultaneously driven by two-tone time-dependent magnetic fields. Regarding the quantum phase transitions (QPTs), with assistant of fidelity susceptibility, we extract the scaling functions and the critical exponents, with which the universal scaling of the cumulant ratio is captured with rescaling of the parameters due to the anisotropy. Moreover, a fixed point of the cumulant ratio is predicted at the critical point of the AQRM. In respect to quantum information tasks, the generation of the macroscopic Schrödinger cat states and quantum controlled phase gates are investigated in the degenerate case of the AQRM, whose performance is also investigated by numerical calculation with practical parameters. Therefore, our results pave a way to explore distinct features of the AQRM in circuit QED systems for QPTs, quantum simulations and quantum information processings.

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Section: Fidelity Susceptibility With Aqrmsupporting

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model

et al. 2018

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“…The selection rules associated with the parity symmetry appear when considering a cavity-like driving, proportional to a † + a , or qubit-like driving ∝ σ x or σ z 30, 40 . We are interested in the former case since each qubit in Fig.…”

Section: Selection Rules In the Two-qubit Quantum Rabi Modelmentioning

confidence: 99%

Incoherent-mediator for quantum state transfer in the ultrastrong coupling regime

Cárdenas-López

Albarrán-Arriagada

Barrios

et al. 2017

Sci Rep

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We study quantum state transfer between two qubits coupled to a common quantum bus that is constituted by an ultrastrong coupled light-matter system. By tuning both qubit frequencies on resonance with a forbidden transition in the mediating system, we demonstrate a high-fidelity swap operation even though the quantum bus is thermally populated. We discuss a possible physical implementation in a realistic circuit QED scheme that leads to the multimode Dicke model. This proposal may have applications on hot quantum information processing within the context of ultrastrong coupling regime of light-matter interaction.

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“…Nonadiabatic geometric quantum computation has the merits of both high-speed implementation and robustness against control errors, and therefore it has received increasing attention . A number of schemes for its physical implementation have been put forward [15][16][17][18][19][20][26][27][28][29][30][31], and nonadiabatic geometric quantum computation has been experimentally demonstrated with trapped ions [39], NMR [40,41], superconducting circuits [42] and nitrogenvacancy centers in diamond [43,44].…”

Section: Introductionmentioning

confidence: 99%

Rydberg-atom-based scheme of nonadiabatic geometric quantum computation

et al. 2017

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Nonadiabatic geometric quantum computation provides a means to perform fast and robust quantum gates. It has been implemented in various physical systems, such as trapped ions, nuclear magnetic resonance and superconducting circuits. Another system being adequate for implementation of nonadiabatic geometric quantum computation may be Rydberg atoms, since their internal states have very long coherence time and the Rydberg-mediated interaction facilitates the implementation of a two-qubit gate. Here, we propose a scheme of nonadiabatic geometric quantum computation based on Rydberg atoms, which combines the robustness of nonadiabatic geometric gates with the merits of Rydberg atoms.

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Holonomic quantum computation in the ultrastrong-coupling regime of circuit QED

Cited by 86 publications

References 54 publications

Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model

Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model

Incoherent-mediator for quantum state transfer in the ultrastrong coupling regime

Rydberg-atom-based scheme of nonadiabatic geometric quantum computation

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