Kelly Betting with Quantum Payoff: a continuous variable approach

  title={Kelly Betting with Quantum Payoff: a continuous variable approach},
  author={Salvatore Tirone and M Ghio and Giulia Livieri and Vittorio Giovannetti and Stefano Marmi},
The main purpose of this study is to introduce a semi-classical model describing betting scenarios in which, at variance with conventional approaches, the payoff of the gambler is encoded into the internal degrees of freedom of a quantum memory element. In our scheme, we assume that the invested capital is explicitly associated with the quantum analog of the free-energy (i.e. ergotropy functional by Allahverdyan, Balian, and Nieuwenhuizen) of a single mode of the electromagnetic radiation which… 

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