Operator entanglement in local quantum circuits II: Solitons in chains of qubits

Bertini, Bruno (avtor), Kos, Pavel (avtor), Prosen, Tomaž (avtor)

We provide exact results for the dynamics of local-operator entanglement in quantum circuits with two-dimensional wires featuring ultralocal solitons, i.e. single-site operators which, up to a phase, are simply shifted by the time evolution. We classify all circuits, allowing for ultralocal solitons and show that only dual-unitary circuits can feature moving ultralocal solitons. Then, we rigorously prove that if a circuit has an ultralocal soliton moving to the left (right), the entanglement of local operators initially supported on even (odd) sites saturates to a constant value and its dynamics can be computed exactly. Importantly, this does not bound the growth of complexity in chiral circuits, where solitons move only in one direction, say to the left. Indeed, in this case we observe numerically that operators on the odd sublattice have unbounded entanglement. Finally, we present a closed-form expression for the local-operator entanglement entropies in circuits with ultralocal solitons moving in both directions. Our results hold irrespectively of integrability.

• Jezik: Angleški jezik
• Ključne besede: entanglement, qubits, quantum many-body systems
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2020
• Št. strani: 23 str.
• Številčenje: Vol. 8, art. no. 068
• PID: 20.500.12556/RUL-116060
• UDK: 530.145
• ISSN pri članku: 2542-4653
• DOI: 10.21468/SciPostPhys.8.4.068
• COBISS.SI-ID: 14722819
• Datum objave v RUL: 12.05.2020

BERTINI, Bruno, KOS, Pavel in PROSEN, Tomaž, 2020, Operator entanglement in local quantum circuits II: Solitons in chains of qubits. SciPost physics [na spletu]. 2020. Vol. 8, no. 068. [Dostopano 7 april 2025]. DOI 10.21468/SciPostPhys.8.4.068. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=116060

Gradivo je del revije

• Naslov: SciPost physics
• Založnik: SciPost Foundation
• ISSN: 2542-4653
• COBISS.SI-ID: 526154521

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.
• Začetek licenciranja: 12.05.2020

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna prepletenost, kubiti, večdelčni sistemi

Projekti

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open Many-body Non-Equilibrium Systems
• Akronim: OMNES

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