Quantum Control via Stimulated Raman User-defined Passage

Niu, Jingjing; Liu, Bao-Jie; Zhou, Yuxuan; Yan, Tongxing; Huang, Wenhui; Liu, Weiyang; Zhang, Libo; Jia, Hao; Liu, Song; Yung, Man-Hong; Chen, Yuanzhen; Yu, Dapeng

doi:10.48550/arxiv.1912.10927

Cited by 3 publications

(5 citation statements)

References 51 publications

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“…The point is that the state preparation problem constraints only the user-defined passage through the different boundary conditions, but the trajectory can be designed for optimizing additional objectives, such as noise robustness, decoherence errors, or time duration, as discussed below. Recently a three-level state transfer via STIRUP has been experimentally implemented in a superconducting circuits [45], with the transfer fidelity significantly improved by STIRUP.…”

Section: General Model Of Stirupmentioning

confidence: 99%

“…More specifically, the performance of STIRAP-based schemes will be greatly reduced in the solid-state quantum systems such as superconducting circuit [18][19][20][21], quantum dot [22] and NV center in diamond [23] since the dephasing error is the main source of decoherence in these platforms. To overcome such a problem, recent work [45], called stimulated Raman 'user-defined' passage (STIRUP), demonstrates that the notion of the adiabatic passage in STIRAP can be extended without the adiabatic condition, which determines the driving pulses directly from the inverse engineering of some 'user-defined' passage in a three-level system. With the flexibility of STIRUP, one can optimize different objectives for different tasks, such as minimizing leakage error, enhancing robustness against control errors, speeding up quantum control.…”

Section: Introductionmentioning

confidence: 99%

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Coherent control with user-defined passage

Liu¹,

Yung²

2021

Quantum Sci. Technol.

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Stimulated Raman adiabatic passage (STIRAP) is a standard technique to combat experimental imperfections and can be used to realize robust quantum state control, which has many applications in physics, chemistry, and beyond. However, STIRAP is susceptible to decoherence since it requires long evolution time. To overcome this problem, stimulated Raman ‘user-defined’ passage (STIRUP) is proposed, which allows users to design the passages unlike the STIRAP but fast and robust against both decoherence and experimental imperfections. Here, we further develop a more general STIRUP method. Comparing with shortcut to adiabaticity and its’ variants, the generalized STIRUP is more simpler and compatible with more complex energy-level structure and many-body systems. Furthermore, the generalized STIRUP has many important applications such as geometric phase measurement, coherent population transfer, and quantum state preparation. Specifically, as examples, we show how to realize the high-fidelity quantum state transfer and entangled state generation in a robust way via STIRUP with the state-of-the-art experimental superconducting circuits.

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Section: General Model Of Stirupmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Coherent control with user-defined passage

Liu¹,

Yung²

2021

Quantum Sci. Technol.

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“…We have used the described STA method in order to maximize entanglement between coupled spins [51] and in a bosonic Josephson junction [57], while we have evaluated its performance for the three-level STIRAP system under the presence of Ornstein-Uhlenbeck noise processes in the energy levels [58]. Other recent works exploit the advantages of this method or its generalizations for quantum state transfer [59][60][61], quantum computation [62][63][64], and sensing [65]. Note that the presented STA method is a specific example of the more general inverse engineering method [12,17,66,67], where the quantum trajectory is prescribed first, eq.…”

Section: -P1mentioning

confidence: 99%

A shortcut tour of quantum control methods for modern quantum technologies

Stefanatos

Paspalakis

2020

EPL

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Quantum control methods, like rapid adiabatic passage, stimulated Raman adiabatic passage, shortcuts to adiabaticity and optimal control, have become an integral part of modern quantum technologies, for example quantum computation and sensing, where they are exploited in order to find the optimal pulse sequences which drive quantum systems to the desired target state in minimum time or with maximum fidelity, overcoming decoherence and dissipation. In this perspective, we use the basic example of adiabatic population inversion in a two-level system in order to present these methods and review the latest developments in the field, while we touch upon the emerging method of reinforcement learning.

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“…In 2019, Liu et al [20] introduced a NHQC+ protocol, which can incorporate STA to construct a variety of extensible nonadiabatic geometric gates that are robust against several types of noises. Experimentally, efforts have also been made for investigating the applications of STA in many quantum systems [28][29][30][31][32][33][34][35]. In 2016, Du et al [29] demonstrated a fast and high-fidelity STISRAP to speed-up the conventional "slow" STIRAP.…”

Section: Introductionmentioning

confidence: 99%

“…FIG.1. SES in Eq (31). with respect to the parameter D. Here we use dimensionless units with = 1, T = 0.1µs, and B = π/6.…”

mentioning

confidence: 99%

Robust stimulated Raman shortcut-to-adiabatic passage by invariant-based optimal control

Song¹,

Meng²,

Liu³

et al. 2021

Preprint

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The stimulated Raman adiabatic passage (STIRAP) shows an efficient technique that accurately transfers population between two discrete quantum states with the same parity, in three-level quantum systems based on adiabatic evolution. This technique has widely theoretical and experimental applications in many fields of physics, chemistry, and beyond. Here, we present a generally robust approach to speed up STIRAP with invariant-based shortcut to adiabaticity. By controlling the dynamical process, we inversely design a family of Hamiltonians that can realize fast and accurate population transfer from the first to the third level, while the systematic error is largely suppressed in general. Furthermore, a detailed trade-off relation between the population of the intermediate state and the amplitudes of Rabi frequencies in the transfer process is illustrated. These results provide an optimal route toward manipulating the evolution of three-level quantum systems in future quantum information processing.

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Quantum Control via Stimulated Raman User-defined Passage

Cited by 3 publications

References 51 publications

Coherent control with user-defined passage

Coherent control with user-defined passage

A shortcut tour of quantum control methods for modern quantum technologies

Robust stimulated Raman shortcut-to-adiabatic passage by invariant-based optimal control

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