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arXiv · 1806.00025

Quantifying memory capacity as a quantum thermodynamic resource

Varun Narasimhachar·Jayne Thompson·Jiajun Ma·Gilad Gour·Mile Gu
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Abstract

The information-carrying capacity of a memory is known to be a thermodynamic resource facilitating the conversion of heat to work. Szilard's engine explicates this connection through a toy example involving an energy-degenerate two-state memory. We devise a formalism to quantify the thermodynamic value of memory in general quantum systems with nontrivial energy landscapes. Calling this the thermal information capacity, we show that it converges to the non-equilibrium Helmholtz free energy in the thermodynamic limit. We compute the capacity exactly for a general two-state (qubit) memory away from the thermodynamic limit, and find it to be distinct from known free energies. We outline an explicit memory--bath coupling that can approximate the optimal qubit thermal information capacity arbitrarily well.

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Varun Narasimhachar, Jayne Thompson, Jiajun Ma, Gilad Gour, Mile Gu. 2019-02-22. Quantifying memory capacity as a quantum thermodynamic resource. https://doi.org/10.1103/physrevlett.122.060601

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