Cluster state computation with quantum-dot charge qubits.
Katz, Matthew Lubelski, Wang, Jingbo (2010)
Advances in Mathematical Physics
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Katz, Matthew Lubelski, Wang, Jingbo (2010)
Advances in Mathematical Physics
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Kumano, H., Nakajima, H., Ekuni, S., Idutsu, Y., Sasakura, H., Suemune, I. (2010)
Advances in Mathematical Physics
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Khoie, R. (1996)
Mathematical Problems in Engineering
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C. Jourdana, N. Vauchelet (2015)
Nanoscale Systems: Mathematical Modeling, Theory and Applications
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This paper is devoted to numerical simulations of electronic transport in nanoscale semiconductor devices forwhich charged carriers are extremely confined in one direction. In such devices, like DG-MOSFETs, the subband decomposition method is used to reduce the dimensionality of the problem. In the transversal direction electrons are confined and described by a statistical mixture of eigenstates of the Schrödinger operator. In the longitudinal direction, the device is decomposed into...
Francis Filbet, Jingwei Hu, Shi Jin (2012)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision terms. A class of asymptotic-preserving schemes was introduced in [F. Filbet and S. Jin,J. Comput. Phys. 229 (2010) 7625–7648] to handle this kind of problems. The idea is to penalize the stiff collision term by a BGK type operator. This method, however, encounters its own difficulty when applied to the quantum Boltzmann equation. To define the quantum...
Bishop, R.C., Bohm, A., Gadella, M. (2004)
Discrete Dynamics in Nature and Society
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Atmanspacher, Harald (2004)
Discrete Dynamics in Nature and Society
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Kwaśniewski, A. K.
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Hillery, Mark (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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