[2605.12044] Thermodynamic Worth of XOR-Sport-Induced Aspect Data in a Szilard Engine

View a PDF of the paper titled Thermodynamic Worth of XOR-Sport-Induced Aspect Data in a Szilard Engine, by Piotr ‘Cwikli’nski

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Summary:We introduce a Szilard-type thermodynamic valuation of side-information channels induced by Bell-type correlations. In every spherical, a two-level working system is thermalized with a degenerate Hamiltonian, in order that its bodily microstate is a uniform classical bit. A trusted referee embeds this bit right into a finite two-player XOR recreation, and a correlation useful resource produces a compressed controller bit. The controller makes use of solely this compressed bit as aspect data for suggestions.
The development is formulated first for arbitrary finite XOR video games. The referee encoding makes the game-winning occasion equal to appropriate prediction of the bodily microstate. Consequently, the induced side-information channel is binary symmetric, with success likelihood equal to the XOR-game profitable likelihood of the equipped behaviour. The reversible Szilard suggestions worth is subsequently mounted by the mutual data between the microstate and the controller report. Optimizing over native, quantum, and nonsignalling behaviour units turns the corresponding recreation values into native, quantum, and nonsignalling thermodynamic ceilings.
The development is an effective-channel valuation, not a declare that Bell nonlocality is thermodynamic gas. The controller receives solely the compressed prediction bit, not the auxiliary variables that outline the sport. The thermodynamic prices of the referee, the correlation useful resource, and the preprocessing are usually not included. When controller-memory reset is included in a full cycle, the web work is non-positive, constantly with the second regulation.