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Fastest local entanglement scrambler, multistage thermalization, and a non-Hermitian phantom
ID Bensa, Jaš (Avtor), ID Žnidarič, Marko (Avtor)

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Izvleček
We study random quantum circuits and their rate of producing bipartite entanglement, specifically with respect to the choice of 2-qubit gates and the order (protocol) in which these are applied. The problem is mapped to a Markovian process, and we prove that there are large spectral equivalence classes—different configurations have the same spectrum. Optimal gates and the protocol that generate entanglement with the fastest theoretically possible rate are identified. Relaxation towards the asymptotic thermal entanglement proceeds via a series of phase transitions in the local relaxation rate, which is a consequence of non-Hermiticity. In particular, non-Hermiticity can cause the rate to be either faster or, even more interestingly, slower than predicted by the matrix eigenvalue gap. This result is caused by expansion coefficients that grow exponentially with system size, resulting in a “phantom” eigenvalue and is due to nonorthogonality of non-Hermitian eigenvectors. We numerically demonstrate that the phenomenon also occurs in random circuits with nonoptimal generic gates, random U(4) gates, and also without spatial or temporal randomness, suggesting that it could be of wide importance in other non-Hermitian settings, including correlations.

Jezik:Angleški jezik
Ključne besede:statistical physics, quantum physics, quantum information, quantum entanglement, quantum gates, quantum phase transitions, quantum quench, general physics, condensed matter, materials, applied physics
Vrsta gradiva:Članek v reviji
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FMF - Fakulteta za matematiko in fiziko
Status publikacije:Objavljeno
Različica publikacije:Objavljena publikacija
Leto izida:2021
Št. strani:28 str.
Številčenje:Vol. 11, iss. 3, art. 031019
PID:20.500.12556/RUL-144712 Povezava se odpre v novem oknu
UDK:536.9
ISSN pri članku:2160-3308
DOI:10.1103/PhysRevX.11.031019 Povezava se odpre v novem oknu
COBISS.SI-ID:72645891 Povezava se odpre v novem oknu
Datum objave v RUL:09.03.2023
Število ogledov:359
Število prenosov:48
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Gradivo je del revije

Naslov:Physical review
Skrajšan naslov:Phys. rev., X
Založnik:American Physical Society
ISSN:2160-3308
COBISS.SI-ID:19686152 Povezava se odpre v novem oknu

Licence

Licenca:CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
Povezava:http://creativecommons.org/licenses/by/4.0/deed.sl
Opis:To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:statistična fizika, kvantna fizika

Projekti

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:J1-1698
Naslov:Načrtovanje večdelčnega transporta

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:P1-0402
Naslov:Matematična fizika

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