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arXiv · 2409.12639

Any Quantum Many-Body State under Local Dissipation will be Disentangled in Finite Time

Zongping Gong·Yuto Ashida
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Abstract

We prove that any quantum many-spin state under genetic local dissipation will be fully separable after a finite time independent of the system size. Such a sudden death of many-body entanglement occurs universally provided that there is a finite damping gap and the unique steady-state density matrix is of full rank. This result is rigorously derived by combining a state-reconstruction identity based on random measurements and the convergence bound for quantum channels. Related works and possible generalizations are also discussed.

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Zongping Gong, Yuto Ashida. 2024-09-19. Any Quantum Many-Body State under Local Dissipation will be Disentangled in Finite Time. https://arxiv.org/abs/2409.12639

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