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## Main Question or Discussion Point

Hello everyone,

I have a math / physics question that has been with me for a while. I would be grateful if someone could help me.

Given a density matrix, what is the minimum value a sum of some of its off-diagonal elements can assume (or the most negative value)?

Remark: if one collect an off-diagonal element to compose the sum, its complex conjugate will also compose the sum.

Thank you.

I have a math / physics question that has been with me for a while. I would be grateful if someone could help me.

Given a density matrix, what is the minimum value a sum of some of its off-diagonal elements can assume (or the most negative value)?

Remark: if one collect an off-diagonal element to compose the sum, its complex conjugate will also compose the sum.

Thank you.