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T Dörstel1,2, T Iadecola3,4,5, J H Wilson6,7

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We introduce frustration-free control, a new quantum state preparation method using measurement feedback. This technique efficiently prepares highly entangled states in many-body systems without postselection.

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Area of Science:

  • Quantum Information Science
  • Many-Body Physics
  • Quantum Control

Background:

  • Frustration-free Hamiltonians are crucial in quantum many-body systems.
  • Monitored quantum dynamics involve measurements that alter system evolution.
  • Preparing highly entangled states is a key challenge in quantum information.

Purpose of the Study:

  • Introduce frustration-free control, a novel measurement-feedback framework.
  • Extend frustration-free principles to monitored stochastic quantum dynamics.
  • Develop a method for deterministic entangled state preparation without postselection.

Main Methods:

  • Utilize measurement feedback to drive many-body systems towards target dark states.
  • Employ minimal local unitary corrections to realize absorbing-state dynamics.
  • Analyze emergent transport of nonlocal charges governing relaxation dynamics.

Main Results:

  • Demonstrate relaxation to target states governed by emergent nonlocal charge transport.
  • Show that measurement and scrambling unitaries influence convergence time via charge transport.
  • Map a baseline model to a solvable absorbing random walk with run-time scaling t∼L^z, z=2.

Conclusions:

  • Frustration-free control provides a general principle for deterministic entangled state preparation.
  • Absorbing-state transport governs convergence in monitored quantum dynamics.
  • This framework enables transport diagnostics in complex quantum systems.