Sum uncertainty relations based on $(α,β,γ)$ weighted Wigner-Yanase-Dyson skew information

We introduce ( $α, β, γ$ ) weighted Wigner-Yanase-Dyson (( $α, β, γ$ ) WWYD) skew information and ( $α, β, γ$ ) modified weighted Wigner-Yanase-Dyson (( $α, β, γ$ ) MWWYD) skew information. We explore the sum uncertainty relations for arbitrary $N$ mutually noncommutative observables based on ( $α, β, γ$ ) WWYD skew information. A series of uncertainty inequalities are derived. We show by detailed example that our results cover and improve the previous ones based on the original Wigner-Yanase (WY) skew information. Finally, we establish new sum uncertainty relations in terms of the ( $α, β, γ$ ) MWWYD skew information for arbitrary $N$ quantum channels.

Sum uncertainty relations based on $(α, β, γ)$ weighted Wigner-Yanase-Dyson skew information

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Sum uncertainty relations based on $(α, β, γ)$ weighted Wigner-Yanase-Dyson skew information

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Sum uncertainty relations based on (α,β,γ)(α,β,γ) weighted Wigner-Yanase-Dyson skew information

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Sum uncertainty relations based on (α,β,γ)(α,β,γ) weighted Wigner-Yanase-Dyson skew information

文献摘要

讨论

|讲解博客

|AI智能校验

Sum uncertainty relations based on $(α, β, γ)$ weighted Wigner-Yanase-Dyson skew information

讲解博客

AI智能校验

Sum uncertainty relations based on $(α, β, γ)$ weighted Wigner-Yanase-Dyson skew information

讲解博客

AI智能校验