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- 16 September 2021 at 4:31 am #112887adminSite Adminstrator
- University or Employer: Loughborough University
- Country: UK
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We numerically investigate the structure of many-body wave functions of 1D
random quantum circuits with local measurements employing the participation
entropies. The leading term in system size dependence of participation
entropies indicates a multifractal scaling of the wave-functions at any
non-zero measurement rate. The sub-leading term contains universal information
about measurement–induced phase transitions and plays the role of an order
parameter, being non-zero in the error-correcting phase and vanishing in the
quantum Zeno phase. We provide an analytical interpretation of this behavior
expressing the participation entropy in terms of partition functions of
classical statistical models in 2D.
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