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Extendibility Limits the Performance of Quantum Processors.

Eneet Kaur1, Siddhartha Das1,2, Mark M Wilde1,3

  • 1Hearne Institute for Theoretical Physics, Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA.

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Summary
This summary is machine-generated.

We introduce a new resource theory of unextendibility to quantify entanglement limitations. This theory provides tighter bounds for quantum communication rates, improving upon previous methods for specific quantum channels.

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Area of Science:

  • Quantum Information Science
  • Quantum Thermodynamics
  • Quantum Dynamics

Background:

  • Resource theories quantify quantum system performance in information processing.
  • Existing theories like entanglement and coherence are applied to quantum thermodynamics and dynamics.
  • Unextendibility relates to the inability to extend quantum entanglement across multiple parties.

Purpose of the Study:

  • Introduce the resource theory of unextendibility.
  • Derive nonasymptotic upper bounds for quantum communication and entanglement preservation rates.
  • Utilize k-extendible states and channels as free resources.

Main Methods:

  • Developed the resource theory of unextendibility.
  • Defined k-extendible states and k-extendible channels as free resources.
  • Applied the theory to derive bounds on quantum communication rates.

Main Results:

  • Established nonasymptotic upper bounds for quantum communication using arbitrary quantum channels with free k-extendible channels.
  • Demonstrated that these bounds are significantly tighter than previous bounds.
  • Validated the improved bounds for depolarizing and erasure quantum channels.

Conclusions:

  • The resource theory of unextendibility offers a novel framework for analyzing entanglement limitations.
  • The derived bounds provide a more accurate quantification of quantum communication rates.
  • This work advances the understanding of quantum channel capacities and entanglement manipulation.