Properly quantized history-dependent Parrondo games, Markov processes, and multiplexing circuits
نویسندگان
چکیده
منابع مشابه
Parrondo Games and Quantum Algorithms
We pursue the possible connections between classical games and quantum computation. The Parrondo game is one in which a random combination of two losing games produces a winning game. We introduce novel realizations of this Parrondo effect in which the player can ‘win’ via random reflections and rotations of the state-vector, and connect these to known quantum algorithms. [email protected]...
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Alternating two fair coin flipping games can create a winning game. Such a Parrondo game is a discrete model for a thermal ratchet. Recently we have constructed quantum versions of these coin flipping games that display the same “paradoxical” behavior. In this paper we add noise to these quantum Parrondo games in order that they can be compared with continuum models of quantum ratchets. Simulat...
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Earlier work on the quantization of the history dependent (HD) Parrondo game by Flitney, Ng, and Abbott led to the FNA protocol. We propose an alternative quantization protocol for this game which differs from the FNA protocol in various aspects.
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An algorithm based on backward induction is devised in order to compute the optimal sequence of games to be played in Parrondo games. The algorithm can be used to find the optimal sequence for any finite number of turns or in the steady state, showing that ABABB... is the sequence with the highest steady state average gain. The algorithm can also be generalized to find the optimal adaptive stra...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2011
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2011.03.051