# 量子观测与薛定谔猫之意识

$|\psi\rangle = \sum_{i} \alpha_i \ |s_i\rangle |e_i\rangle$

$\rho = |\psi\rangle \langle\psi| = \left (\sum_{i} \alpha_i \ |s_i\rangle |e_i\rangle \right ) \left ( \sum_{j} \alpha_j^{*} \ \langle e_j|\langle s_j| \right )$

$\rho_s = {Tr}_{e} \rho = \sum_{k} \langle e_k| \left ( \sum_{i} \alpha_i \ |s_i\rangle |e_i\rangle \right ) \left ( \sum_{j} \alpha_j^{*} \ \langle e_j|\langle s_j| \right ) |e_k\rangle\\ = \sum_{k} |\alpha_k|^2 \ |s_k\rangle \langle s_k|$

1. Quantum ground state and single-phonon control of a mechanical resonator A. D. O’Connel et al.  Nature 464, 697-703 (1 April 2010)

2. Decoherence and the Appearance of a Classical World in Quantum Theory By Erich Joos, H. Dieter Zeh, Claus Kiefer, Domenico J. W. Giulini, Joachim Kupsch, Ion-Olimpiu Stamatescu

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### 发表评论 评论 (6 个评论)

Beautiful article. For an outsider, it is just a wonder.

BTW, I somehow can see "[Math Processing Error]". Is it intentional? Maybe for the purpose of demonstrating the Quantum entanglement?

Wavelet: Beautiful article. For an outsider, it is just a wonder.

BTW, I somehow can see &quot;[Math Processing Error]&quot;. Is it intentional? Maybe for the ...
What browser are you using? Do you see math formulas at all?

admin: What browser are you using? Do you see math formulas at all?
Well, I could not see the formulas, but somehow I can see it now. Nice.

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