36 citations · 48 across the 7 of their papers we have counts for
7 papers
Generalized quantum operations and almost sharp quantum effects
Shen Jun, Wu Junde
In this paper, we study generalized quantum operations and almost sharp quantum effects, our results generalize and improve some important conclusions in [2] and [3].
Spectral representation of infimum of bounded quantum observables
Shen Jun, Wu Junde
In 2006, Gudder introduced a logic order on bounded quantum observable set . In 2007, Pulmannova and Vincekova proved that for each subset of , the infimum of…
Sequential product on standard effect algebra
Shen Jun, Wu Junde
A quantum effect is an operator on a complex Hilbert space that satisfies , is the set of all quantum effects on . In 2001, Professor Gudde…
Remarks on the sequential effect algebras
Shen Jun, Wu Junde
In this paper, first, we answer affirmatively an open problem which was presented in 2005 by professor Gudder on the sub-sequential effect algebras. That is, we prove that if $(E,0…
The average value inequality in sequential effect algebras
Shen Jun, Wu Junde
A sequential effect algebra is an effect algebra on which a sequential product with certain physics properties is defined, in particular, sequentia…
The n-th root of sequential effect algebras
Shen Jun, Wu Junde
Sequential effect algebra is an important model for studying quantum measurement theory. In 2005, Professor Gudder presented 25 open problems to motivate its study. The 20th proble…
Not each sequential effect algebra is sharply dominating
Shen Jun, Wu Junde
Let be an effect algebra and be the set of all sharp elements of . is said to be sharply dominating if for each there exists a smallest element $\widehat{…