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Absolutely Stable Spatiotemporal Order in Noisy Quantum Systems.

Max McGinley1, Sthitadhi Roy1,2,3, S A Parameswaran1

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We present a novel quantum dynamics model that maintains long-lasting order, resisting perturbations. This is achieved by partial wave function collapse and a cellular automaton-inspired feedback rule, enabling robust quantum states.

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Area of Science:

  • Quantum Physics
  • Quantum Information Science
  • Complex Systems

Background:

  • Nonunitary quantum dynamics often leads to thermalization or decoherence.
  • Maintaining quantum order in open quantum systems is a significant challenge.
  • Classical cellular automata provide models for complex emergent behavior.

Purpose of the Study:

  • To introduce a model of nonunitary quantum dynamics with persistent spatiotemporal order.
  • To demonstrate robustness against unitary and dissipative perturbations.
  • To propose experimental realizations on current quantum platforms.

Main Methods:

  • Combining partial wave function collapse via projective measurements with a local feedback rule.
  • Inspired by Toom's "north-east-center" classical cellular automaton.
  • Numerical simulations using Clifford circuits in 2D for large system sizes.
  • Analysis of generic dynamics on modest system sizes.

Main Results:

  • Demonstration of infinitely long-lived discrete spatiotemporal order.
  • The order is robust against both unitary and dissipative perturbations.
  • Evading ergodicity through the proposed measurement and feedback protocol.
  • Successful numerical verification on Clifford circuits and generic dynamics.

Conclusions:

  • The developed model offers a pathway to engineer robust quantum order in open systems.
  • Partial wave function collapse is key to preserving quantum coherence while achieving stability.
  • The proposed dynamics are experimentally feasible with current quantum computing technologies.