quantum wave
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2022 ◽  
pp. 147-163
Author(s):  
Anuphak Saosaovaphak ◽  
Chukiat Chaiboonsri ◽  
Satawat Wannapan
Keyword(s):  

2022 ◽  
Vol 19 (1 Jan-Jun) ◽  
Author(s):  
Alexander Nahmad ◽  
Damian P San-Roman-Alerigi ◽  
Edna Magdalena Hernández González ◽  
Erick Barrios ◽  
Gustavo Armendariz Peña ◽  
...  

In this article we explain in a new light two fundamental concepts ofquantum optics, the quantum beam splitter and the quantum interferometer, in termsof two state quantum wave functions. This method is consistent with the concept ofentanglement, and hence the algebra needed to describe them is reduced to additionsand products of the components of the quantum states. Furthermore, under thepremises of this method it is possible to study quantum states of greater complexity,like those arising from the addition and products of single photon states.


2021 ◽  
Vol 3 (4) ◽  
Author(s):  
Hiroyuki Katsuki ◽  
Yukiyoshi Ohtsuki ◽  
Toru Ajiki ◽  
Haruka Goto ◽  
Kenji Ohmori

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Junxia Cheng ◽  
Bo Tian ◽  
Siyu Li ◽  
Jia Wang ◽  
Shenjiang Wu

The selective control of photoassociation of Yb2 is investigated in theory. Based on ab initio to rationalize Franck–Condon filtering, the optimal target states of photoassociation have been obtained. The corresponding vibrational transitions from X1Σ+g to the excited state (A1Σu+, B1Πu, C1Σu+, and D1Πu) are v ′  = 23, 50, 55, and 0, respectively. By using quantum wave packet dynamic methods, we calculated the yields with time evaluation for the selected target states. The projections of time-dependent wave functions of initial states on the target vibrational eigenstates reflected the synthetic yields of Yb2. For target A1Σu+, we used Gaussian pulse to make the yield of v ′  = 23 up to 97% at 725 fs. After a laser pulse, the positive chirp promoted the yield of vibrational states to increase, but the negative chirp inhibited its decrease. For the D1Πu state, when laser intensity is 1.0 × 1014 W/cm2, the purity and yield of target state v ′  = 0 reached the maximum at 1350 fs. That is to say, changing the laser parameters and pulse shapes could control the photochemical reaction along our desired direction. These conditions will provide an important reference and suggest a scheme for a feasible photoassociation of further experimental and theoretical research studies. Current study may promote an important step toward the realization of highly accurate quantum manipulation and material synthesis.


2021 ◽  
Vol 104 (2) ◽  
Author(s):  
Anandamay Das Bhowmik ◽  
Preeti Parashar ◽  
Manik Banik

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 529
Author(s):  
Chenyi Zhang ◽  
Jiaqi Leng ◽  
Tongyang Li

We initiate the study of quantum algorithms for escaping from saddle points with provable guarantee. Given a function f:Rn→R, our quantum algorithm outputs an ϵ-approximate second-order stationary point using O~(log2⁡(n)/ϵ1.75) queries to the quantum evaluation oracle (i.e., the zeroth-order oracle). Compared to the classical state-of-the-art algorithm by Jin et al. with O~(log6⁡(n)/ϵ1.75) queries to the gradient oracle (i.e., the first-order oracle), our quantum algorithm is polynomially better in terms of log⁡n and matches its complexity in terms of 1/ϵ. Technically, our main contribution is the idea of replacing the classical perturbations in gradient descent methods by simulating quantum wave equations, which constitutes the improvement in the quantum query complexity with log⁡n factors for escaping from saddle points. We also show how to use a quantum gradient computation algorithm due to Jordan to replace the classical gradient queries by quantum evaluation queries with the same complexity. Finally, we also perform numerical experiments that support our theoretical findings.


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