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Density Operator to Matrix Form
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[QUOTE="ShayanJ, post: 5723506, member: 160907"] The states in that formula are not the base states. That definition is for when you want to assign classical probabilities for the system to be in different states that are not necessarily orthogonal. The off-diagonal terms arise when you expand those states in terms of orthonormal base states. [/QUOTE]
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Density Operator to Matrix Form
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