Optimized steering: Quantum state engineering and exceptional points

Kumar, Parveen; Snizhko, Kyrylo; Gefen, Yuval; Rosenow, Bernd

doi:10.1103/physreva.105.l010203

Cited by 19 publications

(8 citation statements)

References 63 publications

(51 reference statements)

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“…Therefore, it can exhibit EPs (referred to as Liouvillian EPs, or LEPs) [26,31]. Properties of LEPs, with diverse unusual effects, have attracted considerable attention currently [32][33][34], such as dissipative phase transition [35][36][37], non-Hermitian skin effect [38], signatures of LEPs in the dynamics [39][40][41] and so on.…”

Section: Introductionmentioning

confidence: 99%

Using simulation Technology to Analyze the COVID-19 Epidemic in Changsha, Hunan Province, China

Zhou

et al. 2020

Preprint

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This study mainly uses simulation technology to simulate the COVID-19 epidemic in Changsha, Hunan Province, China, and analyze the impact of different prevention and control measures on the epidemic. we Collect the information of all COVID-19 patients in Changsha from January 21, 2020 to March 14, 2020 and relevant policies during the COVID-19 epidemic in Changsha. Established the SEIAR infectious disease dynamics model under natural conditions, and added isolation measures on this basis. Using Anylogic8.5, the COVID-19 epidemic in Changsha City was simulated under various conditions based on the established model.In this study we find that There were 242 COVID-19 patients in Changsha. including 121 males (50%) and 121 females (50%).Most cases occurred between February 6 and February 16. Through the calculation of the Rt during the epidemic in Changsha, it is found that it is reasonable to resume work on February 8, because the Rt value of Changsha dropped below 1 at this time.The simulation results show that reducing the contact rate of residents and reducing the success rate of virus transmission (wearing masks, disinfection, etc.) can effectively prevent the spread of COVID-19 and significantly reduce the number of peak patients.We believe that the disease is mainly spread by the respiratory tract. Therefore, the simulation results show that whether in the early or mid-stage of the epidemic, quarantining the names of residents or reducing the contact rate of residents is very effective in controlling the COVID-19 epidemic.

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Section: Introductionmentioning

confidence: 99%

Using simulation Technology to Analyze the COVID-19 Epidemic in Changsha, Hunan Province, China

Zhou

et al. 2020

Preprint

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“…For example, an EP-induced UZR can provide novel two-photon interference to control two-photon states [19,20]. EP also enables optimal ways to engineer quantum states in a two level systems [50]. We believe that transferring the state engineering capabilities of EPs in these systems to SU(1,1) interferometers will be a promising area of future work.…”

Section: Discussionmentioning

confidence: 99%

Exceptional-point sensing with a quantum interferometer

Wong

Li²

2023

New J. Phys.

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Recently, multiple studies have suggested that exceptional points (EPs) in lossless nonlinear optical systems can minimize quantum noise arising from the material gain and loss in conventional non-Hermitian systems, offering the possibility of quantum EP sensing. Meanwhile, nonlinear SU(1,1) interferometers have been established as useful in sensing due to their reduced quantum noise. In this work, we demonstrate the existence of EPs in a dual-beam SU(1,1) interferometer with two nonlinear parametric amplifiers. Our analysis of the input-output matrix in terms of quadrature amplitude shows that EPs can be linked to both high signal, through a zero matrix element, and low noise, through noise preservation, by selecting an appropriate operation gauge of the quadrature amplitude. Additionally, for a multistage SU(1,1) interferometer, EPs of the overall input-output matrix form multiple bands of high signal-to-noise ratio (SNR) which further separate into two phases indicated by the EPs of the transfer matrix of a repeating unit. Our investigations demonstrate the significance of quantum EPs in quantum interferometer sensing and broaden the operating regimes beyond the traditional diabolical point to EPs while still maintaining a high SNR.

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“…The transition from a Zeno pinning regime can naturally be treated in the context of LEPs introduced here [34][35][36]. Our study therefore motivates a new look at open quantum system dynamics from the vantage of Liouvillian exceptional points, enabling applications of non-Hermitian dynamics in Floquet physics [37], quantum steering [38], state transfer [39,40], measurement induced dynamics [41,42], and quantum thermal engines [43].…”

mentioning

confidence: 89%

Lindblad Exceptional Points in the Dynamics of A Dissipative Superconducting Qubit

Chen

Murch

Joglekar

2020

OSA Quantum 2.0 Conference

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Open quantum systems interacting with an environment exhibit dynamics described by the combination of dissipation and coherent Hamiltonian evolution. Taken together, these effects are captured by a Liouvillian superoperator. The degeneracies of the (generically non-Hermitian) Liouvillian are exceptional points, which are associated with critical dynamics as the system approaches steady state. We use a superconducting transmon circuit coupled to an engineered environment to observe two different types of Liouvillian exceptional points that arise either from the interplay of energy loss and decoherence or purely due to decoherence. By dynamically tuning the Liouvillian superoperators in real time we observe a non-Hermiticity-induced chiral state transfer. Our study motivates a new look at open quantum system dynamics from the vantage of Liouvillian exceptional points, enabling applications of non-Hermitian dynamics in the understanding and control of open quantum systems.

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Optimized steering: Quantum state engineering and exceptional points

Cited by 19 publications

References 63 publications

Using simulation Technology to Analyze the COVID-19 Epidemic in Changsha, Hunan Province, China

Using simulation Technology to Analyze the COVID-19 Epidemic in Changsha, Hunan Province, China

Exceptional-point sensing with a quantum interferometer

Lindblad Exceptional Points in the Dynamics of A Dissipative Superconducting Qubit

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