10 2022 档案
摘要：Classically mixed states. Refer to abstract of this paper.
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摘要：May refer to this paper. Note that generally for an algebra we also know it should have representation and irrep.
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摘要：Beam Splitter Useful links for beam splitter:https://en.wikipedia.org/wiki/Hong%E2%80%93Ou%E2%80%93Mandel_effect polarizing beam splitters(PBS) refer
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摘要：We talk about attainability of classical FIM, in the asymptotic limit, FIM can always be attained:https://en.wikipedia.org/wiki/Maximum_likelihood_est
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摘要：Also refer to wikipedia link, we have:${\displaystyle \mathbf {J} _{\mathbf {f} ^{-1}}={\mathbf {J} _{\mathbf {f} }}^{-1}.}$
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摘要：We consider $det(A\otimes B)$. Notice that $det(A\otimes B)=det(A\otimes II\otimes B)=det(A\otimes I)det(I\otimes B)$. Hence we have $det(A\otimes B)=
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摘要：对易的两个物理量有共同的本征基，意味着可以同时被准确测量出来。反之若不对易，则意味着我们不能同时获得关于这两个力学量的精确信息。 对易力学完全集（CSCO：Complete set of commuting observables）定义：能够完全描述体系状态、彼此独立、相互对易的最小数目的一组力学量
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摘要：为什么SO(2)是一个Abel群? 可以从抽象的群元角度去理解:先转-60度再转30度和先转30度再转-60度是一样的；也可以从矩阵的角度去理解:\(\left( \begin{matrix} \cos\mathrm{(}\theta )& -\sin\mathrm{(}\theta )\\ \si
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摘要：$$ \mathcal{K}(t) \rho=-i[H, \rho]+\sum_i \gamma_i\left[A_i \rho A_i^{\dagger}-\frac{1}{2}\left{A_i^{\dagger} A_i, \rho\right}\right] $$ with $H(t)$ t
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摘要：Proposition (The orthogonal complement of a column space). Let A be a matrix and let $W=\operatorname{Col}(A)$. Then $$ W^{\perp}=\operatorname{Nul}\l
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