The modelling of quantum control systems

Dong, Wenbin; Wu, Rongbo; Yuan, Xiaohu; Li, Chunwen; Tarn, Tzyh-Jong

doi:10.1007/s11434-015-0863-3

Cited by 21 publications

(12 citation statements)

References 134 publications

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“…As a kind of important control systems, DES have been generalized to probabilistic DES and fuzzy DES [5]- [10] due to the potential of practical application. In recent thirty years, quantum computing has been developed rapidly [13], [14], and quantum control has attracted great interest [19]- [24]. So, initiating the study of QDES may likely become a new subject of DES, and it is also motivated by two aspects: one is the simulation of DES in quantum systems by virtue of the principle of quantum computing; another is that QDES have advantages over classical DES for processing some problems in state complexity.…”

Section: Discussionmentioning

confidence: 99%

“…In fact, after Shor's discovery [18] of a polynomialtime algorithm on quantum computers for prime factorization, quantum computation has become a very active research area in quantum physics, computer science, and quantum control [19], [20], [21], [22], [23], [24].The study of quantum control usually has been focused on time-varying systems, and coherent feedback control (i.e. feedback control using a fully quantum system) has been deeply investigated [19], [20].…”

Section: Introductionmentioning

confidence: 99%

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Supervisory Control of Quantum Discrete Event Systems

Qiu¹

2021

Preprint

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Discrete event systems (DES) have been established and deeply developed in the framework of probabilistic and fuzzy computing models due to the necessity of practical applications in fuzzy and probabilistic systems. With the development of quantum computing and quantum control, a natural problem is to simulate DES by means of quantum computing models and to establish quantum DES (QDES). The motivation is twofold: on the one hand, QDES have potential applications when DES are simulated and processed by quantum computers, where quantum systems are employed to simulate the evolution of states driven by discrete events, and on the other hand, QDES may have essential advantages over DES concerning state complexity for imitating some practical problems. The goal of this paper is to establish a basic framework of QDES by using quantum finite automata (QFA) as the modelling formalisms, and the supervisory control theorems of QDES are established and proved. Then we present a polynomial-time algorithm to decide whether or not the controllability condition holds. In particular, we construct a number of new examples of QFA to illustrate the supervisory control of QDES and to verify the essential advantages of QDES over DES in state complexity.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Supervisory Control of Quantum Discrete Event Systems

Qiu¹

2021

Preprint

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“…Quantum state discrimination is required for many applications in quantum communication and quantum computation, and therefore plays an essential role in quantum information theory, i. e. quantum key distribution [1][2][3][4], quantum secret sharing [5], quantum scure direct communication [6][7][8][9][10][11][12], and other quantum information processing [13][14][15][16][17][18]. The discrimination between quantum states is not a trivial problem in quantum mechanics since an unknown state can not be cloned perfectly [19,20].…”

Section: Introductionmentioning

confidence: 99%

Optimal programmable unambiguous discriminator between two unknown latitudinal states

Sunian

Zhou

2016

Sci. China Phys. Mech. Astron.

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Two unknown states can be unambiguously distinguished by a universal programmable discriminator, which has been widely discussed in previous works and the optimal solution has also been obtained. In this paper, we investigate the programmable unambiguous discriminator between two unknown "latitudinal" states, which lie in a subspace of the total state space. By equivalence of unknown pure states to known average mixed states, the optimal solution for this problem is systematically derived, and the analytical success probabilities for the optimal unambiguous discrimination are obtained. It is beyond one's expectation that the optimal setting for the programmable unambiguous discrimination between two unknown "latitudinal" states is the same as that for the universal ones. The results in this work can be used for the realization of the programmable discriminator in laboratory.

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“…More importantly, a small categories of molecules could show negative respondence to eletromagnetic fields. 49 Utilizing this property, these categories of molecules can be distinguished from others. This is significant to differentiate psychoactive drugs in forensic science.…”

mentioning

confidence: 99%

Permittivity and permeability of pentagon configuration molecules with different symmetry breaking and their applications

Shen¹,

Chen²

2017

Sci. China Phys. Mech. Astron.

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Some kinds of psychoactive drugs have the structures which are called split-ring resonators (SRRs). SRRs might result in negative permittivity and permeability simultaneously in electromagnetic field. Simultaneous negative indexes can lead to the famous phenomenon of negative refraction. This optical property makes it possible to distinguish synthetic cannabinoids from other abusive psychoactive drugs in the UV-vis region. This optical method is non-damaged and superior in forensic science. In this paper, we use tight-binding model calculating the permittivity and permeability of the main ingredients of synthetic cannabinoids. At the same time, we give two more results of zolpidem and caffeine. Further we discuss the negative refraction of the category of zepam qualitatively.In 1968, Veselago originally introduced the concept of negative index material (NIM) which exhibit unusual optical property. 1 For this kind of material, the permittivity and permeability can be negative simultaneously in electromagnetic field, which might bring about the phenomenon of negative refraction. Pendry et al.2-6 developed Veselago's theory, their research pointed out that the configuration of split-ring resonators (SRRs) 3 which had non-trivial symmetry breaking 7 is an effective way to realize negative refraction. Negative refraction has became more and more popular these decades, new researches and applications come to practice. For instance, the perfect lenses which are made by NIM can focus all Fourier components of image, both their propagating and evanescent waves are amplified, the quality of image and the detection sensitivity are improved. [8][9][10][11][12] After the theoretical derivation, Shelby et al. 13 gave the experimental realization two years later. According to Veselago's theory, molecules with SRRs configurations such as extended metal atom chains (EMACs), have led a fresh direction of physical and chemical research. 14-37 Recently many fabulous works in different fields come forth, such as invisible cloaking, 38-43 liquid crystal magnetic control, 44 anapole moment, 45 detection of latent fingermarks, 46-48 etc. Inspired by these ideas, negative refraction plays more and more important role in forensic science field since it is a non-damaged optical method to test materials. More importantly, a small categories of molecules could show negative respondence to eletromagnetic fields. 49 Utilizing this property, these categories of molecules can be distinguished from others. This is significant to differentiate psychoactive drugs in forensic science. As a matter of fact, according to the theoretical derivation and calculation, we point out that the main ingredients of synthetic cannabinoids, the category of zepam, zolpidem and caffeine show various degree of negative refraction while other psychoactive drugs can not. We discuss the result of synthetic cannabinoids, zolpidem and caffeine quantitatively and the category of zepam qualitatively. This paper is organized as following: In section II, we previousl...

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The modelling of quantum control systems

Cited by 21 publications

References 134 publications

Supervisory Control of Quantum Discrete Event Systems

Supervisory Control of Quantum Discrete Event Systems

Optimal programmable unambiguous discriminator between two unknown latitudinal states

Permittivity and permeability of pentagon configuration molecules with different symmetry breaking and their applications

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