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Exponential rise of dynamical complexity in quantum computing through projections.

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Frequent observation of quantum systems can unlock universal quantum computation. This surprising effect transforms simple dynamics into complex ones, even with local noise, revolutionizing quantum technologies.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Dynamics

Background:

  • Quantum systems possess inherent complexity with potential for revolutionizing science and technology.
  • Significant efforts are directed towards developing quantum computation, communication, and metrology protocols.
  • Technical challenges hinder the full exploitation of quantum system scaling.

Purpose of the Study:

  • To investigate how observation affects quantum system dynamics.
  • To determine if simple quantum dynamics can be transformed into complex, computationally universal dynamics.
  • To explore the generalizability and implications of observation-induced complexity in quantum systems.

Main Methods:

  • Theoretical analysis of quantum system dynamics under frequent partial observation.
  • Demonstration with specific examples of quantum systems.
  • Investigation of the converse process: purification of complex dynamics.

Main Results:

  • Frequent observation of a small subsystem can induce exponentially complex dynamics, enabling universal quantum computation.
  • This effect is broadly applicable: almost any quantum dynamics becomes universal upon observation.
  • Complex quantum dynamics can be simplified ('purified') in larger dimensional systems.

Conclusions:

  • Observation is a powerful tool for controlling and enhancing quantum dynamics.
  • Even local noise can unexpectedly lead to exponentially complex dynamics.
  • Findings offer new pathways for developing practical quantum technologies.