Complexity of frustration: A new source of non-local non-stabilizerness

Odavić, Jovan; Haug, Tobias; Torre, Gianpaolo; Hamma, Alioscia; Franchini, Fabio; Giampaolo, Salvatore Marco (2023) Complexity of frustration: A new source of non-local non-stabilizerness. SciPost Physics, 15 (4). ISSN 2542-4653

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Abstract

We advance the characterization of complexity in quantum many-body systems by examining W-states embedded in a spin chain. Such states show an amount of non-stabilizerness or "magic" (measured as the Stabilizer Rényi Entropy -SRE-) that grows logarithmic with the number of qubits/spins. We focus on systems whose Hamiltonian admits a classical point with an extensive degeneracy. Near these points, a Clifford circuit can convert the ground state into a W-state, while in the rest of the phase to which the classic point belongs, it is dressed with local quantum correlations. Topological frustrated quantum spin-chains host phases with the desired phenomenology, and we show that their ground state's SRE is the sum of that of the W-states plus an extensive local contribution. Our work reveals that W-states/frustrated ground states display a non-local degree of complexity that can be harvested as a quantum resource and has no counterpart in GHZ states/non-frustrated systems.

Item Type:	Article
Uncontrolled Keywords:	Quantum Complexity; Magic; Frustration
Subjects:	NATURAL SCIENCES > Physics NATURAL SCIENCES > Physics > Condensed Matter Physics
Divisions:	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
Depositing User:	Fabio Franchini
Date Deposited:	27 Feb 2024 09:19
URI:	http://fulir.irb.hr/id/eprint/8641
DOI:	10.21468/SciPostPhys.15.4.131

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