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DO NOT use this tag. Use more specific tags such as [linear-algebra] instead.

4 votes

What can we know about the eigenvalues of a reduced density matrix knowing the eigenvalues o...

I cannot answer the question completely. But we can have look at some of the edge cases. For the case of a bipartite pure system with the same number of qubits on both sides, nothing can be said abou …
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Is the Pauli group for $n$-qubits a basis for $\mathbb{C}^{2^n\times 2^n}$?

Yes, the set of tensor products of all possible $n$ Pauli operators (including $I$) form an orthogonal basis for the vector space of $2^n \times 2^n$ complex matrices. To see this first we notice tha …
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