Infinitely fast critical dynamics: Teleportation through temporal rare regions in monitored quantum circuits - INSPIRE

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Infinitely fast critical dynamics: Teleportation through temporal rare regions in monitored quantum circuits

Nov 5, 2024

16 pages

e-Print:

2411.03442 [cond-mat.dis-nn]

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Abstract: (arXiv)

We consider measurement-induced phase transitions in monitored quantum circuits with a measurement rate that fluctuates in time. The spatially correlated fluctuations in the measurement rate disrupt the volume-law phase for low measurement rates; at a critical measurement rate, they give rise to an entanglement phase transition with ``ultrafast'' dynamics, i.e., spacetime (

x,t

) scaling

\log x \sim t^{\psi_\tau}

. The ultrafast dynamics at the critical point can be viewed as a spacetime-rotated version of an infinite-randomness critical point; despite the spatial locality of the dynamics, ultrafast information propagation is possible because of measurement-induced quantum teleportation. We identify temporal Griffiths phases on either side of this critical point. We provide a physical interpretation of these phases, and support it with extensive numerical simulations of information propagation and entanglement dynamics in stabilizer circuits.

Note:

16 pages, 22 figures

References(42)

Figures(22)

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