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Amplification, redundancy, and quantum Chernoff information.

Michael Zwolak1, C Jess Riedel2, Wojciech H Zurek3

  • 1Department of Physics, Oregon State University, Corvallis, Oregon 97331, USA.

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|April 29, 2014
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This summary is machine-generated.

Quantum amplification, viewed as information replication, naturally arises from decoherence. This process creates objective reality by generating multiple copies of quantum state information in the environment.

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Area of Science:

  • Quantum Physics
  • Quantum Information Theory
  • Foundations of Quantum Mechanics

Background:

  • Amplification in quantum theory bridges quantum microstates and macroscopic reality.
  • The Copenhagen interpretation postulates amplification ad hoc to explain wave packet collapse.
  • Schrödinger's cat paradox highlights the need for understanding quantum-to-classical transitions.

Purpose of the Study:

  • To re-examine amplification within the framework of quantum decoherence.
  • To demonstrate that amplification is a natural consequence of decoherence models.
  • To link quantum information replication to the emergence of objective reality.

Main Methods:

  • Modeling decoherence in various environments, including photon environments.
  • Applying the principles of Quantum Darwinism, which views amplification as information replication.
  • Utilizing quantum Chernoff information to quantify information transmission.

Main Results:

  • Amplification is shown to be a natural outcome of decoherence processes.
  • The replication of quantum state information in the environment is demonstrated.
  • The redundancy of information in the environment is quantified by quantum Chernoff information.

Conclusions:

  • Quantum amplification is not an ad hoc postulate but a natural consequence of decoherence.
  • The replication of quantum information in the environment leads to objective reality.
  • The degree of redundancy is determined by the information capacity of environmental subsystems.