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Classical devices can simulate quantum states through stochastic coordination, even without individual superposition capabilities. This research provides methods to certify quantum coherence and understand quantum state limitations.

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Area of Science:

  • Quantum Information Science
  • Foundations of Quantum Mechanics

Background:

  • Classical state-preparation devices are limited and cannot generate states with relative superposition.
  • Quantum mechanics allows for superposition, a property not classically reproducible by individual devices.

Purpose of the Study:

  • To introduce classical models capable of simulating quantum states through stochastic coordination of classical devices.
  • To develop methods for certifying quantum coherence by determining the limits of classical simulation.
  • To explore the connections between classical simulation of quantum states and fundamental quantum concepts.

Main Methods:

  • Developing classical models that stochastically coordinate devices unable to produce relative superposition.
  • Creating systematic methods for classically simulating quantum state sets.
  • Establishing criteria to prove that a given set of quantum states cannot be classically simulated.
  • Quantifying the noise rates necessary for classical simulation of the entire quantum state space.

Main Results:

  • Demonstrated that sets of quantum states can be simulated by coordinated classical devices.
  • Developed techniques to certify quantum coherence by identifying unsimulatable quantum state sets.
  • Determined the precise noise thresholds for classical simulation of all quantum states.
  • Revealed links between operational classicality, joint measurability, and Einstein-Podolsky-Rosen steering.

Conclusions:

  • Classical devices, through coordinated stochastic processes, can simulate certain quantum states.
  • The study provides a framework for understanding the non-classical nature of quantum states and certifying quantum coherence.
  • Findings have implications for quantum information applications and the fundamental understanding of quantum theory.