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Local thermal operations and classical communication.

Rafał Bistroń1,2, Jakub Czartowski2,3

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Summary
This summary is machine-generated.

This study introduces local thermal operations and classical communication (LTOCC) to define limits for quantum system transformations. LTOCC reveals how thermal constraints affect entanglement detection in spatially separated quantum systems.

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Area of Science:

  • Quantum Thermodynamics
  • Quantum Information Theory
  • Quantum Many-Body Systems

Background:

  • The interplay between locality, thermal constraints, and communication is a key challenge in quantum thermodynamics.
  • Existing frameworks often struggle to unify the distant laboratories paradigm with thermodynamic restrictions for spatially separated systems.

Purpose of the Study:

  • To introduce an operational framework, local thermal operations and classical communication (LTOCC), for transformations between spatially separated quantum systems under thermodynamic constraints.
  • To define the fundamental limits on these transformations and explore their connection to existing theoretical concepts.

Main Methods:

  • Development of the local thermal operations and classical communication (LTOCC) framework.
  • Establishment of a hierarchy of LTOCC protocols with inclusion relations.
  • Introduction of thermal tensors and bithermal tensors as mathematical tools for constrained quantum processes.

Main Results:

  • A hierarchy of LTOCC protocols is established, showing inclusion relations and connections to semilocal thermal operations.
  • Thermal and bithermal tensors are introduced, extending existing tensor formalisms to thermodynamic settings.
  • LTOCC imposes limitations on the CHSH scenario, preventing violations in the single-copy case and highlighting a gap in entanglement detection between thermal and athermal operations in the multicopy case.

Conclusions:

  • The LTOCC framework provides fundamental limits on transformations between spatially separated quantum systems under thermal constraints.
  • The developed mathematical tools, thermal and bithermal tensors, offer new avenues for analyzing constrained quantum processes.
  • The study demonstrates the impact of thermal operations on entanglement detection capabilities within the LTOCC framework.