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This study demonstrates a novel method for rapidly purifying quantum states in non-Hermitian systems by leveraging collective reservoir engineering and multipartite entanglement. The research identifies that the speed of this purification is governed by the degeneracy of subradiant modes, revealing an informational Mpemba effect where mixed initial states reach steady state faster than pure ones. These findings offer significant potential for improving relaxation control and quantum state preparation in noisy quantum computing environments.
Informational Mpemba Effect for Fast State Purification in Non-Hermitian System
arXiv:2604.07926v3 Announce Type: replace Abstract: Quantum systems are inherently fragile to environmental fluctuations or decoherence, limiting their advantages in applications of quantum information and quantum computation. State purification offers a route to recover the purity of system under noisy conditions. Here, we demonstrate a rapid purification of initially mixed states by harnessing collective reservoir engineering in driven non-Hermitian qubit systems, together with multipartite entanglement generation in larger systems. We show that the onset of efficient purification-assisted entanglement generation is dictated by the degeneracy of collective subradiant modes, rather than by exceptional points. Moreover, the system dynamics manifests an informational Mpemba effect, i.e., a more mixed initial state reaches its steady state with unit purity at a faster rate, resembling the conventional Mpemba effect where a hotter system cools more rapidly. These results reveal a unique advantage of driven non-Hermitian quantum systems with engineered collective dissipation, enabling enhanced purification efficiency and offering new opportunities for relaxation control of non-Hermitian systems and quantum state preparations.
Abstract:Quantum systems are inherently fragile to environmental fluctuations or decoherence, limiting their advantages in applications of quantum information and quantum computation. State purification offers a route to recover the purity of system under noisy conditions. Here, we demonstrate a rapid purification of initially mixed states by harnessing collective reservoir engineering in driven non-Hermitian qubit systems, together with multipartite entanglement generation in larger systems. We show that the onset of efficient purification-assisted entanglement generation is dictated by the degeneracy of collective subradiant modes, rather than by exceptional points. Moreover, the system dynamics manifests an informational Mpemba effect, i.e., a more mixed initial state reaches its steady state with unit purity at a faster rate, resembling the conventional Mpemba effect where a hotter system cools more rapidly. These results reveal a unique advantage of driven non-Hermitian quantum systems with engineered collective dissipation, enabling enhanced purification efficiency and offering new opportunities for relaxation control of non-Hermitian systems and quantum state preparations.
arXiv:2604.07926 [quant-ph]
(or arXiv:2604.07926v3 [quant-ph] for this version)
From: Chimdessa Gashu Feyisa Mr. [view email] [v1] Thu, 9 Apr 2026 07:47:19 UTC (6,050 KB) [v2] Fri, 10 Apr 2026 07:27:20 UTC (6,053 KB) [v3] Fri, 28 Aug 2026 06:18:11 UTC (1,177 KB)
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