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The uncertainty principle enables non-classical dynamics in an interferometer.

Oscar C O Dahlsten1, Andrew J P Garner2, Vlatko Vedral1

  • 11] Atomic and Laser Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX13PU, UK [2] Center for Quantum Technologies, National University of Singapore, Singapore 117543, Republic of Singapore.

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The quantum uncertainty principle, while restrictive, enables non-classical dynamics in interferometers. Quantum theory balances certainty and non-classical dynamics, allowing for complex phenomena.

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Area of Science:

  • Quantum mechanics
  • Foundations of quantum theory

Background:

  • The quantum uncertainty principle is fundamental to quantum phenomena.
  • Deeper understanding is crucial for quantum theory foundations.

Purpose of the Study:

  • To explore the enabling role of the uncertainty principle in non-classical dynamics.
  • To investigate the trade-offs between certainty and non-classical dynamics in probabilistic theories.

Main Methods:

  • Analysis of general probabilistic theories.
  • Examination of the impact of the uncertainty principle on dynamics within interferometers.

Main Results:

  • The uncertainty principle, beyond restrictions, enables non-classical dynamics.
  • Instantaneous action at a distance is not possible, curtailing non-classical dynamics in general theories.
  • A trade-off exists: maximal certainty restricts dynamics to identity operations, while quantum theory minimizes certainty for maximal non-classical dynamics.

Conclusions:

  • The uncertainty principle plays a dual role: restrictive and enabling.
  • Quantum theory achieves maximal non-classical dynamics by minimizing uncertainty.