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Area of Science:

  • Quantum Physics
  • Quantum Metrology
  • Condensed Matter Physics

Background:

  • Quantum entanglement is key to surpassing the standard quantum limit in metrology.
  • Preparing large-scale entangled states incurs significant time overhead, questioning the feasibility of the Heisenberg limit.

Purpose of the Study:

  • To establish a universal speed limit for quantum Fisher information growth during quantum resource state preparation.
  • To characterize the metrological potential of quantum states considering preparation complexity.
  • To identify constraints for reaching the Heisenberg limit in many-body systems.

Main Methods:

  • Utilizing the Lieb-Robinson light cone to define a speed limit for quantum Fisher information.
  • Analyzing quantum Fisher information growth in many-body lattice systems.
  • Investigating systems with bounded one-site energy.

Main Results:

  • A universal speed limit for quantum Fisher information growth is identified, dictated by the Lieb-Robinson light cone.
  • A strong precision limit for quantum metrology is established, accounting for many-body state preparation complexity.
  • A fundamental constraint is revealed for achieving the Heisenberg limit in generic many-body lattice systems.

Conclusions:

  • The study identifies crucial features of quantum many-body systems for achieving quantum advantage in metrology.
  • A connection is established between many-body quantum dynamics and quantum metrology.
  • The findings provide fundamental insights into the trade-offs between entanglement preparation time and metrological precision.