Explore: Quantum Dynamical Semigroups

various times are collectively referred to as a quantum dynamical semigroup—a family of quantum dynamical maps ϕ t {\displaystyle \phi _{t}} on the space

unitary maps, but one needs to introduce quantum Markov semigroups. In general, quantum dynamical semigroups can be defined on von Neumann algebras, so

semigroup is associated to any equation whose spatial evolution is independent of time. There are numerous special classes of semigroups, semigroups with

ISSN 1099-4300. Lindblad, G. (1976). "On the generators of quantum dynamical semigroups". Communications in Mathematical Physics. 48 (2): 119–130. Bibcode:1976CMaPh

ISBN 978-3-642-23354-8. Alicki, Robert; Lendi, Karl (1987). Quantum Dynamical Semigroups and Applications. Berlin: Springer Verlag. ISBN 978-0-387-18276-6

In quantum mechanics, a quantum operation (also known as quantum dynamical map or quantum process) is a mathematical formalism used to describe a broad

Quantum decoherence is the loss of quantum coherence. It involves generally a loss of information of a system to its environment. Quantum decoherence

S2CID 121650206. Lindblad, Göran (June 1976). "On the generators of quantum dynamical semigroups". Communications in Mathematical Physics. 48 (2): 119–130. Bibcode:1976CMaPh

Convolution semigroups in L1 that approximate the delta function are always an approximation to the identity in the above sense, however the semigroup condition

S2CID 123168620. Lindblad, G. (1976). "On the generators of quantum dynamical semigroups". Communications in Mathematical Physics. 48 (2): 119–130. doi:10