Off-diagonal elements in a density matrix

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SUMMARY

The discussion centers on the mathematical properties of density matrices, specifically regarding the minimum value of the sum of off-diagonal elements. Participants emphasize the importance of considering complex conjugates when summing these elements. The inquiry seeks to clarify the conditions under which these sums can achieve their most negative values. Further context or references are suggested to enhance understanding and facilitate more precise responses.

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CarvalhoGD
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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.
 
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Sorry,but I don't understand your question not good enough to give you an answer.Try to make your question a little bit more concrete.Maybe you should post the reference where question is related to.
 

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