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Area of Science:

  • Theoretical Physics
  • Quantum Information Theory
  • Quantum Gravity

Background:

  • Growing interest in applying quantum information theory (QIT) to quantum gravity.
  • Exploration of alternative quantum theories and information-centric frameworks.
  • Need to critically assess the validity of QIT in mimicking quantum field theory (QFT).

Purpose of the Study:

  • Identify and analyze common problems in QIT-based treatments of quantum gravity.
  • Examine the equivalence and limitations of information-theoretic interactions versus QFT interactions.
  • Clarify the role and limitations of classical stochastic fields in representing quantum phenomena.

Main Methods:

  • Comparative analysis of interaction formalisms between QIT and QFT.
  • Investigation of the consequences of replacing quantum fields with classical stochastic fields.
  • Examination of conditions under which semi-classical and stochastic theories emerge from quantum origins.

Main Results:

  • Information-channel-mediated interactions in QIT are not generally equivalent to QFT interactions.
  • Using classical stochastic fields misses essential quantum properties like coherence and entanglement.
  • Inconsistencies with general relativity can arise when QIT notions are applied to gravity.
  • Semi-classical and stochastic theories can be derived from quantum theories under specific conditions.

Conclusions:

  • Current QIT approaches to quantum gravity require careful scrutiny regarding their equivalence to QFT.
  • Ignoring quantum coherence and entanglement by using classical approximations leads to incomplete descriptions.
  • While semi-classical and stochastic theories have their place, their quantum origins must be understood.