Shortcuts to adiabatic passage for multiqubit controlled-phase gate

Liang, Yan; Wu, Qi‐Cheng; Su, Shi‐Lei; Ji, Xin; Zhang, Shou

doi:10.1103/physreva.91.032304

Cited by 67 publications

(46 citation statements)

References 37 publications

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“…As an important fundamental task, state transfer is widely studied in atomic, optical physics and quantum information for its indispensable role in building optical and quantum devices, such as optical transistor [1,2], frequency conversion [3] and quantum interface [4][5][6][7]. In atomic system, the typical approaches for realizing state transfer are the rapid adiabatic passage [8] for two-level, the stimulated Raman adiabatic passage [9] for excited state assisted three-level Λ quantum systems and their optimized shortcuts to adiabaticity technique [10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Frequency-tuning-induced state transfer in optical microcavities

Zhang

Kong

et al. 2020

Photon. Res.

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Quantum state transfer in optical microcavities plays an important role in quantum information processing, and is essential in many optical devices, such as optical frequency converter and diode. Existing schemes are effective and realized by tuning the coupling strengths between modes. However, such approaches are severely restricted due to the small amount of strength that can be tuned and the difficulty to perform the tuning in some situations, such as on-chip microcavity system. Here, we propose a novel approach that realizes the state transfer between different modes in optical microcavities by tuning the frequency of an intermediate mode. We showed that for typical functions of frequency-tuning, such as linear and periodic functions, the state transfer can be realized successfully with different features. To optimize the process, we use gradient descent technique to find an optimal tuning function for the fast and perfect state transfer. We also showed that our approach has significant nonreciprocity with appropriate tuning variables, where one can unidirectionally transfer a state from one mode to another, but the inverse direction transfer is forbidden. This work provides an effective method for controlling the multimode interactions in on-chip optical microcavities via simple operations and it has practical applications in all-optical devices.

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Section: Introductionmentioning

confidence: 99%

Frequency-tuning-induced state transfer in optical microcavities

Zhang

Kong

et al. 2020

Photon. Res.

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“…As an essential task in many areas of quantum information science ranging from quantum information processing [1,2] and coherent manipulation of quantum systems [3] to high-precision measurements [4,5], the quantum-state engineering (QSE) [6][7][8][9][10][11][12], has attracted much attention, which promotes the development of experimental technique and theoretical scheme. The quantum adiabatic theorem (QAT), an important way of realizing QSE, has been widely studied and the basic properties of the QAT are being scrutinized both theoretically and experimentally [13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Reverse engineering of a nonlossy adiabatic Hamiltonian for non-Hermitian systems

Chen

Huang

et al. 2016

Phys. Rev. A

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We generalize the quantum adiabatic theorem to the non-Hermitian system and build a strict adiabaticity condition to make the adiabatic evolution non lossy when taking into account the effect of adiabatic phase. According to the strict adiabaticity condition, the non-adiabatic couplings and the effect of the imaginary part of adiabatic phase should be eliminated as much as possible. Also the non-Hermitian Hamiltonian reverse engineering method is proposed for adiabatically driving an artificial quantum state. Concrete two-level system is adopted to show the usefulness of the reverse engineering method. We obtain the desired target state by adjusting extra rotating magnetic fields at a predefined time. Furthermore, the numerical simulation shows that certain noise and dissipation in the systems are no longer undesirable, but play a positive role in the scheme. Therefore, the scheme is quite useful for quantum information processing in some dissipative systems.

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“…Shortcuts to adiabaticity " [35,36] are alternative fast processes which reproduce the same final populations, or even the same final state with shorter time compared with the adiabatic process. Thus, a variety of schemes have been proposed to construct shortcuts to adiabatic passage in both the theory and experiment [37][38][39][40][41][42][43]. Recently, Schloss et al proposed a scheme of shortcuts to adiabaticity used to create maximally entangled many-body NOON states in one-dimensional Tonks-Girardeau gases [44].…”

Section: Introductionmentioning

confidence: 99%