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52 papers · 1 filter
Indifference Pricing of American Option Underlying Illiquid Stock under Exponential Forward Performance
Xiaoshan Chen, Qingshuo Song, Fahuai Yi +1
This work focuses on the indifference pricing of American call option underlying a non-traded stock, which may be partially hedgeable by another traded stock. Under the exponential…
Estimates for Eigenvalues of Poly-harmonic Operators
Guoxin Wei, Lingzhong Zeng
In this paper, we study eigenvalues of the poly-Laplacian with arbitrary order on a bounded domain in an n-dimensional Euclidean space and obtain a lower bound for eigenvalues, whi…
Geometric entangling gates for coupled cavity system in decoherence-free subspaces
Yue-Yue Chen, Xun-Li Feng, C. H. Oh
We propose a scheme to implement geometric entangling gates for two logical qubits in a coupled cavity system in decoherence-free subspaces. Each logical qubit is encoded with two…
Estimates for lower bounds of eigenvalues of the poly-Laplacian and quadratic polynomial operator of the Laplacian
Qing-Ming Cheng, He-Jun Sun, Guoxin Wei +1
In this paper, we investigate the Dirchlet eigenvalue problems of poly-Laplacian with any order and quadratic polynomial operator of the Laplacian. We give some estimates for lower…
New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states
Li-Yun Hu, Zhi-Ming Zhang
Using the thermal field dynamics theory to convert the thermal state to a "pure" state in doubled Fock space, it is found that the average value of e^{fa^{†}a} under squeezed therm…
Lower Bounds for Laplacian and Fractional Laplacian Eigenvalues
Guoxin Wei, He-Jun Sun, Lingzhong Zeng
In this paper, we investigate eigenvalues of Laplacian on a bounded domain in an -dimensional Euclidean space and obtain a sharper lower bound for the sum of its eigenvalues, wh…