# Une Femme Douce

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 Oct8 accepted why non orthogonal states are indistinguishable? Oct7 accepted A question on partial trace and density matrix computation Oct7 revised Dimension of separable state deleted 144 characters in body Oct7 accepted Dimension of separable state Oct7 comment Intuition on positive-operator valued measures (POVM) I think they are positive means they are positive definite? Oct5 awarded Teacher Oct4 asked why non orthogonal states are indistinguishable? Sep2 comment A question on partial trace and density matrix computation then it must be a $2\times 2$ matrix but in the book it is $3\times 2$ matrix Sep2 asked A question on partial trace and density matrix computation Sep1 comment Dimension of separable state Thanks! I am trying to understand your point Sep1 comment Dimension of separable state ah! algebraic geometry is everywhere! but I am such a poor fellow who doesn't understand, Thanks but sorry with my mathematics background I don't understand your answer Sep1 revised Dimension of separable state added 7 characters in body Sep1 awarded Scholar Sep1 revised $\exp(i\alpha\hat {\bf n}\cdot{\bf \sigma} )=\cos\alpha I+i(\hat {\bf n}\cdot{\bf \sigma})\sin\alpha$ edited title Sep1 accepted $\exp(i\alpha\hat {\bf n}\cdot{\bf \sigma} )=\cos\alpha I+i(\hat {\bf n}\cdot{\bf \sigma})\sin\alpha$ Sep1 comment $\exp(i\alpha\hat {\bf n}\cdot{\bf \sigma} )=\cos\alpha I+i(\hat {\bf n}\cdot{\bf \sigma})\sin\alpha$ @gj255 Thank you for the reply Sep1 asked Dimension of separable state Sep1 comment $\exp(i\alpha\hat {\bf n}\cdot{\bf \sigma} )=\cos\alpha I+i(\hat {\bf n}\cdot{\bf \sigma})\sin\alpha$ And also $n_x,n_y,n_z$ are $1\times 3$ matrices and pauli matrcies are $2\times 2$ then why $n_x\sigma_x$ etc are defined? Sep1 comment $\exp(i\alpha\hat {\bf n}\cdot{\bf \sigma} )=\cos\alpha I+i(\hat {\bf n}\cdot{\bf \sigma})\sin\alpha$ Thanks but why Eigen Values of $A$ are $\pm1$?If $n=({1\over \sqrt{2}},{1\over\sqrt{2}},0)$ then $n_x=({1\over\sqrt{2}},0,0),n_y=(0,{1\over\sqrt{2}},0),n_z=(0,0,0)$ ? Aug31 awarded Supporter