There is a mathematics of uncertainty.
I can't say if it would help out in this case.
Code:
The Robertson–Schrödinger uncertainty relation may be generalized in a straightforward way to describe mixed states.[31]
σ A 2 σ B 2 ≥ ( 1 2 t r ( ρ { A , B } ) − tr ( ρ A ) t r ( ρ B ) ) 2 + ( 1 2 i t r ( ρ [ A , B ] ) ) 2 {\displaystyle \sigma _{A}^{2}\sigma _{B}^{2}\geq \left({\frac {1}{2}}\mathrm {tr} (\rho \{A,B\})-\operatorname {tr} (\rho A)\mathrm {tr} (\rho B)\right)^{2}+\left({\frac {1}{2i}}\mathrm {tr} (\rho [A,B])\right)^{2}} \sigma _{A}^{2}\sigma _{B}^{2}\geq \left({\frac {1}{2}}\mathrm {tr} (\rho \{A,B\})-\operatorname {tr} (\rho A)\mathrm {tr} (\rho B)\right)^{2}+\left({\frac {1}{2i}}\mathrm {tr} (\rho [A,B])\right)^{2}
Not to worry about the forum not being able to display a lot of those mathematical symbols.
It isn't any more comprehensible when rendered properly.
