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Summoning, No-Signalling and Relativistic Bit Commitments.

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This summary is machine-generated.

Quantum summoning tasks are constrained by the no-cloning theorem and no-superluminal-signalling principle. These fundamental physics laws limit what information can be reliably transferred, impacting quantum cryptography security.

Keywords:
bit commitmentno-cloningno-signallingquantum cryptographyrelativistic quantum informationsummoning

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Area of Science:

  • Quantum Information Science
  • Theoretical Physics
  • Cryptography

Background:

  • Summoning tasks involve transferring quantum states between spatially separated parties.
  • Existing summoning protocols are limited by fundamental principles of quantum mechanics and relativity.

Purpose of the Study:

  • To analyze the constraints on quantum summoning tasks.
  • To establish the relationship between summoning, quantum no-cloning, and relativistic signalling principles.
  • To explore implications for quantum cryptography.

Main Methods:

  • Analysis based on the quantum no-cloning theorem.
  • Application of the relativistic no-superluminal-signalling principle.
  • Investigation of quantum measurement properties and causal structure of spacetime.

Main Results:

  • Unrestricted quantum summoning is impossible.
  • Specific summoning tasks are possible only under certain conditions derived from fundamental principles.
  • Bounds on approximate quantum cloning fidelity can be established.

Conclusions:

  • Quantum summoning results are fundamentally linked to spacetime causality and quantum measurement properties.
  • The no-summoning theorem provides security guarantees for cryptographic protocols against certain adversaries.