Random unitaries, Robustness, and Complexity of Entanglement

Odavić, Jovan; Torre, Gianpaolo; Mijić, Nenad; Davidović, Davor; Franchini, Fabio; Giampaolo, Salvatore Marco (2023) Random unitaries, Robustness, and Complexity of Entanglement. Quantum, 7 . ISSN 2521-327X

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Abstract

It is widely accepted that the dynamic of entanglement in presence of a generic circuit can be predicted by the knowledge of the statistical properties of the entanglement spectrum. We tested this assumption by applying a Metropolis-like entanglement cooling algorithm generated by different sets of local gates, on states sharing the same statistic. We employ the ground states of a unique model, namely the one-dimensional Ising chain with a transverse field, but belonging to different macroscopic phases such as the paramagnetic, the magnetically ordered, and the topological frustrated ones. Quite surprisingly, we observe that the entanglement dynamics are strongly dependent not just on the different sets of gates but also on the phase, indicating that different phases can possess different types of entanglement (which we characterize as purely local, GHZ-like, and W-state-like) with different degree of resilience against the cooling process. Our work highlights the fact that the knowledge of the entanglement spectrum alone is not sufficient to determine its dynamics, thereby demonstrating its incompleteness as a characterization tool. Moreover, it shows a subtle interplay between locality and non-local constraints.

Item Type:	Article
Uncontrolled Keywords:	quantum entanglement ; one-dimensional Ising chain ; Metropolis Monte Carlo ; Reny-2 entropy
Subjects:	NATURAL SCIENCES > Physics NATURAL SCIENCES > Physics > Condensed Matter Physics
Divisions:	Center for Informatics and Computing Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Frustrirani kompleksni sustavi-FCS Salvatore Marco Giampaolo; Tena Dubček IP-2019-04-3321 HRZZ Skalabilni algoritmi visokih performansi za buduće heterogene distribuirane računalne sustave-HybridScale Davor Davidović UIP-2020-02-4559 HRZZ Napredne metode i tehnologije u znanosti o podatcima i kooperativnim sustavima-DATACROSS Sven Lončarić; Ivan Petrović; Tomislav Šmuc; Andrej Jokić KK.01.1.1.01.009 EK Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri-QuantiXLie Hrvoje Buljan; Pavle Pandžić; Vit Tuček; Tomislav Marketin KK.01.1.1.01.0004 EK
Depositing User:	Fabio Franchini
Date Deposited:	27 Feb 2024 11:30
URI:	http://fulir.irb.hr/id/eprint/8649
DOI:	10.22331/q-2023-09-15-1115

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