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Optimal Compression for Identically Prepared Qubit States.

Yuxiang Yang1, Giulio Chiribella1,2, Masahito Hayashi3,4

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This study defines the maximum compression limits for identical qubit sequences. These limits are achieved using an optimal universal cloning machine, a new application in quantum Shannon theory.

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Area of Science:

  • Quantum Information Science
  • Quantum Shannon Theory

Background:

  • Understanding the fundamental limits of quantum information processing is crucial.
  • Qubit compression is a key challenge in developing efficient quantum communication and computation.

Purpose of the Study:

  • To establish the ultimate limits for compressing sequences of identically prepared qubits.
  • To explore the application of optimal universal cloning machines in quantum Shannon theory.

Main Methods:

  • Utilizing Holevo's information quantity to determine compression limits.
  • Applying an optimal universal cloning machine for achieving these limits.

Main Results:

  • The ultimate compression limits for identically prepared qubit sequences have been established.
  • The optimal universal cloning machine demonstrates a novel application in quantum Shannon theory.

Conclusions:

  • The findings provide fundamental insights into the theoretical boundaries of quantum data compression.
  • The study highlights the potential of universal cloning machines in advancing quantum information theory.