Measurement-induced phase transition in teleportation and wormholes

Understand

We demonstrate that some quantum teleportation protocols exhibit measurement induced phase transitions in Sachdev-Ye-Kitaev model.

• Namely, Kitaev-Yoshida and Gao-Jafferis-Wall protocols have a phase transition if we apply them at a large projection rate or at a large coupling rate respectively.
• It is well-known that at small rates they allow teleportation to happen only within a small time-window.
• We show that at large rates, the system goes into a new steady state, where the teleportation can be performed at any moment.