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The locking-decoding frontier for generic dynamics.

Frédéric Dupuis1, Jan Florjanczyk, Patrick Hayden

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Summary
This summary is machine-generated.

Quantum information can be hidden, or locked, even when classical information seems accessible. Removing a small quantum system can make perfectly correlated data appear independent, impacting quantum communication security.

Keywords:
black holesdiscordencryptioninformation lockingmeasure concentrationquantum information

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Area of Science:

  • Quantum Information Theory
  • Quantum Cryptography

Background:

  • Classical mutual information can underestimate quantum mutual information.
  • Information locking is a phenomenon where information is hidden within quantum systems.

Purpose of the Study:

  • Quantify the distinction between classical and quantum information.
  • Demonstrate a stronger form of information locking.
  • Explore implications for quantum key distribution.

Main Methods:

  • Removing a logarithmic-sized quantum subsystem from correlated bitstrings.
  • Analyzing information content with min-entropy bounds.
  • Investigating the role of entanglement.

Main Results:

  • Perfectly correlated data can appear independent after subsystem removal.
  • A generic form of information locking is demonstrated.
  • Classical information remains locked until near-complete decoding.

Conclusions:

  • The study quantifies a significant gap between classical and quantum information.
  • The findings suggest a new definition of information locking.
  • A quantum key distribution protocol is shown to be vulnerable to logarithmic information leakage.