Measurement-induced phase transition in teleportation and wormholes

Milekhin, Alexey; Popov, Fedor K.

doi:10.21468/SciPostPhys.17.1.020

SciPost Physics

Measurement-induced phase transition in teleportation and wormholes

Alexey Milekhin, Fedor K. Popov

SciPost Phys. 17, 020 (2024) · published 25 July 2024

doi: 10.21468/SciPostPhys.17.1.020
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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 at large rates, the system goes into a new steady state, where the teleportation can be performed at any moment. 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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.1.020
TI  - Measurement-induced phase transition in teleportation and wormholes
PY  - 2024/07/25
UR  - https://scipost.org/SciPostPhys.17.1.020
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 1
SP  - 020
A1  - Milekhin, Alexey
AU  - Popov, Fedor K.
AB  - 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. 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.
ER  -

@Article{10.21468/SciPostPhys.17.1.020,
	title={{Measurement-induced phase transition in teleportation and wormholes}},
	author={Alexey Milekhin and Fedor K. Popov},
	journal={SciPost Phys.},
	volume={17},
	pages={020},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.1.020},
	url={https://scipost.org/10.21468/SciPostPhys.17.1.020},
}

Cited by 3

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¹ Alexey Milekhin,
² Fedor K. Popov

Funders for the research work leading to this publication