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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Computing

Background:

  • Entanglement transitions are critical quantum phenomena but experimentally challenging to detect.
  • Projective measurements and noise in large-scale quantum systems hinder accurate observation.

Purpose of the Study:

  • To propose a scalable and noise-resilient protocol for detecting entanglement transitions.
  • To overcome experimental limitations in observing these transitions.

Main Methods:

  • Utilized a projective version of the transverse-field Ising model.
  • Combined error correction algorithms with classical shadow tomography.
  • Developed a method for experimentally accessible bounds without postselection or full state tomography.

Main Results:

  • The proposed protocol provides robust upper and lower bounds on the entanglement transition.
  • These bounds are resilient to noise, a significant improvement for experimental settings.
  • The sharpness of the bounds serves as a quantitative measure of the noise rate.

Conclusions:

  • The protocol offers a practical approach for experimentally detecting entanglement transitions.
  • It provides a noise-resilient method for characterizing quantum phase transitions.
  • This work advances the experimental observation and understanding of entanglement dynamics.