Optimal control of coherent wave functions: a linearized quantum dynamical view

Shen, Liyang; Shi, Shenghua; Rabitz, Herschel

doi:10.1021/j100149a003

Cited by 23 publications

(7 citation statements)

References 2 publications

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“…In the past two decades, significant progress has been achieved in quantum computing [1], quantum communication [2], and quantum metrology [3], etc., which rely on precise manipulation of quantum systems. To this end, many control methods have been proposed such as optimal control [4], feedback control [5,6], linear quadratic Gaussian control [7,8], which are designed based on the exact models of quantum systems. However, these models may not be well constructed due to unknown dynamics.…”

Section: Introductionmentioning

confidence: 99%

An inverse-system method for identification of damping rate functions in non-Markovian quantum systems

Xue,

Tan,

et al. 2020

Preprint

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Identification of complicated quantum environments lies in the core of quantum engineering, which systematically constructs an environment model with the aim of accurate control of quantum systems. In this paper, we present an inverse-system method to identify damping rate functions which describe non-Markovian environments in time-convolution-less master equations. To access information on the environment, we couple a finite-level quantum system to the environment and measure time traces of local observables of the system. By using sufficient measurement results, an algorithm is designed, which can simultaneously estimate multiple damping rate functions for different dissipative channels. Further, we show that identifiability for the damping rate functions corresponds to the invertibility of the system and a necessary condition for identifiability is also given. The effectiveness of our method is shown in examples of an atom and three-spin-chain non-Markovian systems.

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Section: Introductionmentioning

confidence: 99%

An inverse-system method for identification of damping rate functions in non-Markovian quantum systems

Xue,

Tan,

et al. 2020

Preprint

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“…Optimal control techniques can be used to design the shape of the dump pulse that best drives the molecule to the target-vibrational level [6,7]. In the perturbative weak-excitation regime, analytical solutions for the globally optimal control pulse can be found [8,9]. But in the strong excitation limit, when a large amount of population is transferred between vibrational levels, the optimal pulse shape is frequently found only by numerical optimization [10].…”

Section: Introductionmentioning

confidence: 99%

Ultrashort-pulse-train pump and dump excitation of a diatomic molecule

Araujo

2010

Phys. Rev. A

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An excitation scheme is proposed for transferring population between ground-vibrational levels of a molecule. The transfer is accomplished by pumping and dumping population with a pair of coherent ultrashort-pulse trains via a stationary state. By mismatching the teeth of the frequency combs associated with the pulse trains to the vibrational levels, high selectivity in the excitation, along with high transfer efficiency, is predicted. The pump-dump scheme does not suffer from spontaneous emission losses, it is insensitive to the pump-dump-train delay, and it requires only basic pulse shaping.

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“…Perturbation approximation is sometimes employed to linearize an expression of an optimal pulse, assuming a weak-field regime. [10][11][12][13][14][15][16][17][18][19][20] Another treatment is called the local control method, [21][22][23][24][25][26][27][28][29] which was first proposed by Kosloff et al 3 and has been extensively developed by Tannor and co-workers, [21][22][23][24][25][26] and others. [27][28][29] In this treatment, a target operator is introduced to specify an objective state of a molecule.…”

Section: Introductionmentioning

confidence: 99%