Measurement-induced phase transition in teleportation and wormholes

• URL: http://arxiv.org/abs/2210.03083v1
• Date: Thu, 6 Oct 2022 17:41:16 GMT
• Title: Measurement-induced phase transition in teleportation and wormholes
• Authors: Alexey Milekhin, Fedor K. Popov
• Abstract summary: 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. We show that for large rates, the teleportation can be performed at any moment.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 for large rates, the teleportation can be performed at any moment. In order to analyze Kitaev Yoshida case, we argue that certain projections can be approximated by low-energy quantum channels, which do not heat the system but qualitatively behave like a real projection. In dual Jackiw Teitelboim gravity these phase transitions correspond to the formation of an eternal traversable wormhole. In the Kitaev Yoshida case this novel type of wormhole is supported by continuous projections.

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