In quantum mechanics, a quantum Markov semigroup describes the dynamics in a Markovian open quantum system. The axiomatic definition of the prototype of...

fixed-point theorem Quantum Markov semigroup Riesz–Markov–Kakutani representation theorem Markov_theorem Markov (crater) 27514 Markov, a main-belt asteroid...

monoid. In probability theory, semigroups are associated with Markov processes. In other areas of applied mathematics, semigroups are fundamental models for...

printer division in 2000 Quantum Markov semigroup – Mathematical structure that describes the dynamics in a Markovian open quantum system Minolta-QMS, a...

standard Brownian motion. In this context, the semigroup condition is then an expression of the Markov property of Brownian motion. In higher-dimensional...

parameterized, mathematicians often use a Markov chain Monte Carlo (MCMC) sampler. The central idea is to design a judicious Markov chain model with a prescribed...

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

Decision tables DEVS Hidden Markov model Petri net Pushdown automaton Quantum finite automaton SCXML Semiautomaton Semigroup action Sequential logic State...

forms a Quantum dynamical semigroup. In some fields, such as quantum optics, the term Lindblad superoperator is often used to express the quantum master...

decisions, he proved coding theorems in quantum information theory and revealed the structure of quantum Markov semigroups and measurement processes. A.S. Holevo...

utilizing only system operators. Assuming Markov property for the dynamics the basic equation of motion for an open quantum system is the Lindblad equation (GKLS):...

presented semigroups. Only in 1947 was the problem shown to be undecidable— this result was obtained independently by Emil Post and A. A. Markov Jr. A string...

distributions. For linear equations, one can usually find a mild solution via semigroup techniques. However, problems start to appear when considering non-linear...

strongly continuous one-parameter semigroups of contractions on Banach spaces. Hall 2013 Theorem 10.15 Hall, B.C. (2013), Quantum Theory for Mathematicians,...

Vesa; Harju, Tero (September 2007). "On Markov's Undecidability Theorem for Integer Matrices" (PDF). Semigroup Forum. 75 (1): 173–180. doi:10.1007/s00233-007-0714-x...

In quantum field theory, the Wightman distributions can be analytically continued to analytic functions in Euclidean space with the domain restricted...

Bhat, B. V.; Parthasarathy, K. R. (1995). "Markov dilations of nonconservative dynamical semigroups and a quantum boundary theory". Annales de l'Institut...

objective is to compute the posterior distributions of the states of a Markov process, given the noisy and partial observations. The term "particle filters"...

doi:10.2307/1971301. JSTOR 1971301. Simon, Barry (1982). "Schrödinger semigroups". Bulletin of the American Mathematical Society. 7 (3): 447–526. doi:10...

can always be interpreted as the distributions of the random states of a Markov process whose transition probabilities depends on the distributions of the...

Lions–Lax–Milgram theorem (partial differential equations) Lumer–Phillips theorem (semigroup theory) Marcinkiewicz theorem (functional analysis) Mazur–Ulam theorem...

S2CID 13923422. Lindblad, G. (1976). "On the generators of quantum dynamical semigroups". Communications in Mathematical Physics. 48 (2): 119–130. Bibcode:1976CMaPh...

1967 with a Ph.D. in mathematics. His Ph.D. thesis Some Results on (C0) Semigroups and the Cauchy Problem was supervised by Gilbert Strang . From 1967 to...

in ultracold atoms and Non-Hermitian quantum mechanics Christine Graffigne (born 1959), French expert on Markov random fields for image analysis Maria...

identities are proved using Markov chains. A non-probabilistic proof was available earlier. Non-commutative dynamics (called also quantum dynamics) is formulated...

makes the analogy between ring and semiring on the one hand and group and semigroup on the other hand work more smoothly. These authors often use rig for...

Piotr; Olkiewicz, Robert (2009). "Continuity and generators of dynamical semigroups for infinite Bose systems". Journal of Functional Analysis. 256 (5). Elsevier...

(Russian: Свердловская тетрадь) is a collection of unsolved problems in semigroup theory, first published in 1965 and updated every 2 to 4 years since....

C^{*}} -Algebras, William Arveson (1976, ISBN 978-0-387-90176-3) Denumerable Markov Chains, John G. Kemeny, J. Laurie Snell, Anthony W. Knapp, D.S. Griffeath...

MR 2105651. Zbl 1079.60005. Wang, Feng-Yu (2005). Functional inequalities, Markov semigroups and spectral theory. Beijing/New York: Science Press. doi:10.1016/B978-0-08-044942-5...