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Stochastic action for the entanglement of a noisy monitored two-qubit system

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Stochastic action for the entanglement of a noisy monitored two-qubit system. / Shea, Dominic; Romito, Alessandro.
In: Physical review a, Vol. 111, No. 1, 012442, 28.01.2025.

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Shea D, Romito A. Stochastic action for the entanglement of a noisy monitored two-qubit system. Physical review a. 2025 Jan 28;111(1):012442. doi: 10.48550/arXiv.2403.08422, 10.1103/PhysRevA.111.012442

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@article{6548370ed2c14e309cfc99eeb8b21e81,
title = "Stochastic action for the entanglement of a noisy monitored two-qubit system",
abstract = "We study the effect of local unitary noise on the entanglement evolution of a two-qubit system subject to local monitoring and interqubit coupling by constructing a suitable stochastic path integral based on the Chantasri-Dressel-Jordan formalism. From this, we identify the optimal entanglement dynamics and deploy a diagrammatic method to find a closed-form approximation for the evolution of the average squared concurrence. We find that the optimal trajectory and diagrammatic expansion capture the oscillations of entanglement at short times. A separate numerical analysis of the long-time steady-state entanglement reveals a nonmonotonic relationship between the concurrence and noise strength.",
author = "Dominic Shea and Alessandro Romito",
year = "2025",
month = jan,
day = "28",
doi = "10.48550/arXiv.2403.08422",
language = "English",
volume = "111",
journal = "Physical review a",
issn = "1050-2947",
publisher = "American Physical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Stochastic action for the entanglement of a noisy monitored two-qubit system

AU - Shea, Dominic

AU - Romito, Alessandro

PY - 2025/1/28

Y1 - 2025/1/28

N2 - We study the effect of local unitary noise on the entanglement evolution of a two-qubit system subject to local monitoring and interqubit coupling by constructing a suitable stochastic path integral based on the Chantasri-Dressel-Jordan formalism. From this, we identify the optimal entanglement dynamics and deploy a diagrammatic method to find a closed-form approximation for the evolution of the average squared concurrence. We find that the optimal trajectory and diagrammatic expansion capture the oscillations of entanglement at short times. A separate numerical analysis of the long-time steady-state entanglement reveals a nonmonotonic relationship between the concurrence and noise strength.

AB - We study the effect of local unitary noise on the entanglement evolution of a two-qubit system subject to local monitoring and interqubit coupling by constructing a suitable stochastic path integral based on the Chantasri-Dressel-Jordan formalism. From this, we identify the optimal entanglement dynamics and deploy a diagrammatic method to find a closed-form approximation for the evolution of the average squared concurrence. We find that the optimal trajectory and diagrammatic expansion capture the oscillations of entanglement at short times. A separate numerical analysis of the long-time steady-state entanglement reveals a nonmonotonic relationship between the concurrence and noise strength.

U2 - 10.48550/arXiv.2403.08422

DO - 10.48550/arXiv.2403.08422

M3 - Journal article

VL - 111

JO - Physical review a

JF - Physical review a

SN - 1050-2947

IS - 1

M1 - 012442

ER -