Irreversibility in quantum mechanics.
Bishop, R.C., Bohm, A., Gadella, M. (2004)
Discrete Dynamics in Nature and Society
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Bishop, R.C., Bohm, A., Gadella, M. (2004)
Discrete Dynamics in Nature and Society
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Atmanspacher, Harald (2004)
Discrete Dynamics in Nature and Society
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Hillery, Mark (2000)
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Diego de Falco, Dario Tamascelli (2011)
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Quantum annealing, or quantum stochastic optimization, is a classical randomized algorithm which provides good heuristics for the solution of hard optimization problems. The algorithm, suggested by the behaviour of quantum systems, is an example of proficuous cross contamination between classical and quantum computer science. In this survey paper we illustrate how hard combinatorial problems are tackled by quantum computation and present some examples of the heuristics provided by quantum...
Kumano, H., Nakajima, H., Ekuni, S., Idutsu, Y., Sasakura, H., Suemune, I. (2010)
Advances in Mathematical Physics
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Marek Sawerwain, Roman Gielerak (2008)
International Journal of Applied Mathematics and Computer Science
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A general definition of a quantum predicate and quantum labelled transition systems for finite quantum computation systems is presented. The notion of a quantum predicate as a positive operator-valued measure is developed. The main results of this paper are a theorem about the existence of generalised predicates for quantum programs defined as completely positive maps and a theorem about the existence of a GSOS format for quantum labelled transition systems. The first theorem is a slight...