Error-insensitive population transfer in a qutrit by invariant-based shortcuts with optimized drivings

Lu, Xiao-Jing; Feng, Zhi‐Bo

doi:10.1209/0295-5075/127/64001

Cited by 8 publications

(4 citation statements)

References 42 publications

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“…Based on H I but with the redesigned Ω (1) d /2π = 250e −(t−τ d ) 2 /τ 2 MHz and Ω (1) m /2π = 250e −(t−τ m ) 2 /τ 2 MHz for t ∈ [0, 250 ns], we also have a full transfer from |e0 to |g1 in the adiabatic case, with τ d = 95 ns, τ = 50 ns, and τ m = 155 ns. However, due to noise effects existing in a process of longer duration time, the fidelity of adiabatic operation significantly degrades to be F A = 74.33% for the same decay rates, where F A has a definition same as that in equation (18). As an example illustration, we comparatively analyze the dependencies of F and F A on κ for the given γ and γ φ , see table 1.…”

Section: Negligible Leakage Effects and High Robustnessmentioning

confidence: 99%

“…Aiming at speeding up quantum adiabatic operation, shortcuts to adiabaticity (STA) have been put forward [10][11][12][13], by which the adiabatic-like process can be still implemented but in an accelerated manner. Due to the effective combination of high robustness and accelerated operation, the method of STA offers an attractive approach towards quantum information tasks [14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

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Generating microwave photon Fock states in a circuit QED via invariant-based shortcuts to adiabaticity

Yan

Feng

2020

Quantum Sci. Technol.

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Optimal generation of photon Fock states is of significance to quantum science and technology.Here we develop a theoretical scheme for fast generating microwave photon Fock states in a circuit quantum electrodynamics (QED) via invariant-based shortcuts to adiabaticity. A superconducting transmon qubit is dispersively coupled to a cavity field of transmission line resonator. Two classical drivings are applied to a composite system, consisting of a transmon qubit and cavity field. In the two-photon resonance with a large intermediate-level detuning, a single-photon Fock state can be fast created by inversely engineering Rabi couplings. With the assistance of auxiliary driving, qubit state can be initialized for inducing multi-photon Fock states in the shortcut manner. Due to negligible leakage effects and high robustness, our scheme offers a potential way to rapidly prepare photon Fock states with a superconducting qubit in circuit QED.

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Section: Negligible Leakage Effects and High Robustnessmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Generating microwave photon Fock states in a circuit QED via invariant-based shortcuts to adiabaticity

Yan

Feng

2020

Quantum Sci. Technol.

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“…From the point of view of experimental performance, the combination of the invariant-based STA with the optimized Rabi drivings is preferable to information processing especially with composite systems. Recently, the exploration of information processing and state engineering by the technique of STA with optimized drivings has attracted considerable attention both theoretically and experimentally [47][48][49][50][51][52][53][54].…”

Section: Introductionmentioning

confidence: 99%

Shortcut-based generation of transmon-magnon entangled states

Yan,

Feng

2024

Phys. Scr.

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Optimized generation of entangled states between solid-state qubits is of fundamental significance to quantum information science and technology. Here, we develop an effective scheme to fast and robustly create the entangled states in a hybrid system containing a superconducting transmon qubit and a spin magnon of yttrium iron garnet. The transmon qubit and the magnon system are coupled via a microwave cavity field. Within the framework of invariant-based shortcuts to adiabaticity, the transmon-magnon entangled states can be rapidly induced by engineering the Rabi couplings between the cavity mode and transmon (magnon) with constant amplitudes. Compared with a non-shortcut counterpart, the shortcut-based operations of interest not only considerably shorten the generation time, but also greatly mitigate the decoherence effects. Furthermore, the fast dynamics is well insensitive to the control deviation of Rabi couplings. Thus our approach could lead to advances in information processing and state engineering with composite systems.

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“…It is known that adiabatic evolutions require long run time [19][20][21] and this makes STIRAP vulnerable to environmentinduced decoherence [8]. Recently, shortcuts to adiabaticity * xgf@sdu.edu.cn (STA) [22,23], which includes transitionless quantum driving, invariant-based inverse engineering and fast-forward approaches, has been used to speed up adiabatic population transfers [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] and design stimulated Raman exact passage [44][45][46][47][48][49]. However, when using such STA based schemes in spin systems, the existence of the frequency errors still influences the performance of these schemes.…”

Section: Introductionmentioning

confidence: 99%

Robust population transfer of spin states by geometric formalism

Li,

2022

Preprint

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Accurate population transfer of uncoupled or weakly coupled spin states is crucial for many quantum information processing tasks. In this paper, we propose a fast and robust scheme for population transfer which combines invariant-based inverse engineering and geometric formalism for robust quantum control. Our scheme is not constrained by the adiabatic condition and therefore can be implemented fast. It can also effectively suppress the dominant noise in spin systems, which together with the fast feature guarantees the accuracy of the population transfer. Moreover, the control parameters of the driving Hamiltonian in our scheme are easy to design because they correspond to the curvature and torsion of a three-dimensional visual space curve derived by using geometric formalism for robust quantum control. We test the efficiency of our scheme by numerically simulating the ground-state population transfer in 15 N nitrogen vacancy centers and comparing our scheme with stimulated Raman transition, stimulated Raman adiabatic passage and conventional shortcuts to adiabaticity based schemes, three types of popularly used schemes for population transfer. The numerical results clearly show that our scheme is advantageous over these previous ones.

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Error-insensitive population transfer in a qutrit by invariant-based shortcuts with optimized drivings

Cited by 8 publications

References 42 publications

Generating microwave photon Fock states in a circuit QED via invariant-based shortcuts to adiabaticity

Generating microwave photon Fock states in a circuit QED via invariant-based shortcuts to adiabaticity

Shortcut-based generation of transmon-magnon entangled states

Robust population transfer of spin states by geometric formalism

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