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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Thermodynamic Implementations of Quantum Processes.

Philippe Faist1,2,3, Mario Berta1,4,5, Fernando G S L Brandao1,5

  • 1Institute for Quantum Information and Matter, Caltech, Pasadena, CA 91125 USA.

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Summary
This summary is machine-generated.

This study optimizes quantum process implementation using thermodynamics. The optimal work cost rate is determined by the process's thermodynamic capacity, a key factor for universal accuracy across all input states.

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Area of Science:

  • Quantum Thermodynamics
  • Information Theory
  • Statistical Mechanics

Background:

  • Thermodynamics of small systems advances quantum process characterization for fixed inputs.
  • Existing methods focus on specific input states, limiting universal applicability.

Purpose of the Study:

  • To develop optimal universal implementations of quantum processes accurate for any input state.
  • To determine the fundamental thermodynamic cost of such universal implementations.

Main Methods:

  • Extending thermodynamic characterization to universal implementations.
  • Defining and analyzing the 'thermodynamic capacity' of a quantum process.
  • Utilizing convex-split methods and exploring quantum typicality.

Main Results:

  • Optimal universal implementations are accurate for all input states after repeated processes.
  • The work cost rate is governed by the process's thermodynamic capacity.
  • Thermodynamic capacity is a single-letter, additive quantity defined by relative entropy differences.

Conclusions:

  • The findings establish a thermodynamic analogue to the reverse Shannon theorem for quantum channels.
  • Introduces a novel concept of quantum typicality with practical thermodynamic applications.
  • Provides a theoretical framework for efficient and accurate quantum information processing.