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A. Kay, Ph.D. thesis, University of Cambridge, 2006.
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Note that HST is not the Hamiltonian considered by Bose. However, in the single excitation subspace, the two are identical.
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Note that HST is not the Hamiltonian considered by Bose. However, in the single excitation subspace, the two are identical.
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In the limit of Δ→, the two derivations give the same pulse. In fact, for small Δ, this derivation, by setting | 0 | 2 = n=- 1/2 | ψ (x) | 2 dx, seems to give better results numerically, but the pulses extend over longer time.
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In the limit of Δ→, the two derivations give the same pulse. In fact, for small Δ, this derivation, by setting | 0 | 2 = n=- 1/2 | ψ (x) | 2 dx, seems to give better results numerically, but the pulses extend over longer time.
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21
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Unifying quantum state transfer and state amplification
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65649111429
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After calculating the variation in T as a function of the energy, this can be derived more rigorously, taking into account the fact that the reflected wave packet is no longer Gaussian, and therefore its transmission probability is different.
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After calculating the variation in T as a function of the energy, this can be derived more rigorously, taking into account the fact that the reflected wave packet is no longer Gaussian, and therefore its transmission probability is different.
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27
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65649114639
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By which we mean that when the wave packet is a long distance from the boundary, it is Gaussian.
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By which we mean that when the wave packet is a long distance from the boundary, it is Gaussian.
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65649096409
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arXiv:0806.1972, Phys. Rev. Lett. (to be published).
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A. Childs, e-print arXiv:0806.1972, Phys. Rev. Lett. (to be published).
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Childs, A.1
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