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Quantifying Memory Capacity as a Quantum Thermodynamic Resource.

Varun Narasimhachar1, Jayne Thompson2, Jiajun Ma3

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Summary
This summary is machine-generated.

We introduce thermal information capacity to quantify memory's thermodynamic value in quantum systems. This measure, distinct from free energy for qubits, offers insights into heat-to-work conversion.

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Area of Science:

  • Quantum thermodynamics
  • Information theory
  • Statistical mechanics

Background:

  • Memory acts as a thermodynamic resource, enabling heat-to-work conversion.
  • Szilard's engine model demonstrates this link using a simple two-state memory.
  • Generalizing this concept to complex quantum systems requires a new formalism.

Purpose of the Study:

  • To develop a method for quantifying the thermodynamic value of memory in general quantum systems.
  • To introduce and define the 'thermal information capacity' for quantum memory.
  • To investigate the relationship between thermal information capacity and established thermodynamic quantities like free energy.

Main Methods:

  • Devised a formalism to quantify the thermodynamic value of memory in general quantum systems.
  • Analyzed systems with nontrivial energy landscapes.
  • Computed the capacity exactly for a two-state (qubit) memory system away from the thermodynamic limit.
  • Investigated the convergence of thermal information capacity to nonequilibrium Helmholtz free energy in the thermodynamic limit.

Main Results:

  • The thermal information capacity quantifies the thermodynamic value of quantum memory.
  • In the thermodynamic limit, thermal information capacity converges to the nonequilibrium Helmholtz free energy.
  • For a general two-state (qubit) memory, the computed capacity differs from known free energies.
  • An explicit memory-bath coupling was proposed to approximate the optimal qubit thermal information capacity.

Conclusions:

  • The thermal information capacity provides a robust measure for the thermodynamic utility of quantum memory.
  • This capacity exhibits distinct behavior from traditional free energies, particularly for finite quantum systems like qubits.
  • The findings offer a pathway to experimentally realizing and utilizing the thermodynamic value of quantum information.