zbMATH — the first resource for mathematics

Generalized quantum operations and almost sharp quantum effects. (English) Zbl 1381.81017
Summary: We study generalized quantum operations and almost sharp quantum effects, our results generalize and improve some important conclusions in [A. Arias et al., J. Math. Phys. 43, No. 12, 5872–5881 (2002; Zbl 1060.81009)] and [A. Arias and S. Gudder, J. Math. Phys. 45, No. 11, 4196–4206 (2004; Zbl 1064.81003)].

81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
08A55 Partial algebras
Full Text: DOI arXiv
[1] Nielsen, N.; Chuang, J., ()
[2] Arias, A.; Gheondea, A.; Gudder, S., Fixed points of quantum operations, J. math. phys., 43, 5872, (2002) · Zbl 1060.81009
[3] Arias, A.; Gudder, S., Almost sharp quantum effects, J. math. phys., 45, 4196, (2004) · Zbl 1064.81003
[4] Choi, M.D., A Schwarz inequality for positive linear maps on C*-algebras, Illinois J. math., 18, 565, (1974) · Zbl 0293.46043
[5] Kadison, R.V., A generalized Schwarz inequality and algebraic invariants for operator algebras, Ann. math., 56, 494, (1952) · Zbl 0047.35703
[6] Horn, R.; Johnson, C., ()
[7] Gudder, S.; Nagy, G., Sequential quantum measurements, J. math. phys., 42, 5212, (2001) · Zbl 1018.81005
[8] Gudder, S.; Greechie, R., Sequential products on effect algebras, Rep. math. phys., 49, 87, (2002) · Zbl 1023.81001
[9] Liu, Weihua; Wu, Junde, A uniqueness problem of the sequence product on operator effect algebra ε(H), J. phys. A: math. theor., 42, 185206, (2009) · Zbl 1162.81008
[10] Shen, Jun; Wu, Junde, Sequential product on standard effect algebra ε(H), J. phys. A: math. theor., 44, 345203, (2009) · Zbl 1176.81005
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.