Questions tagged [schmidt-decomposition]

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How to check if a $n$-qubit unitary is the tensor product of single-qubit unitaries

Let's assume I give you the expression of a unitary matrix acting on two qubits that is: $$U=\sum_{i} A_i \otimes B_i$$ for some operators $A_i$ and $B_i$. Is there a simple criterion allowing you to ...
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6 votes
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Schmidt decomposition for tripartite system $ABC$ with vanishing mutual information between $A$ and $C$

Suppose I have a tripartite system $ABC$ in a pure state $|\psi_{ABC}\rangle$ with mutual information $I(A:C)=0$. This implies that the reduced density matrix $\rho_{AC}$ factorizes as $\rho_{AC} = \...
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