TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.4.131
TI  - Complexity of frustration: A new source of non-local non-stabilizerness
PY  - 2023/10/03
UR  - https://scipost.org/SciPostPhys.15.4.131
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 4
SP  - 131
A1  - Odavić, Jovan
AU  - Haug, Tobias
AU  - Torre, Gianpaolo
AU  - Hamma, Alioscia
AU  - Franchini, Fabio
AU  - Giampaolo, Salvatore Marco
AB  - 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, that grows logarithmically with the number of qubits/spins. We focus on systems whose Hamiltonian admits a classical point with 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 classical 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 Stabilizer Rényi Entropy 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.
ER  -

@Article{10.21468/SciPostPhys.15.4.131,
	title={{Complexity of frustration: A new source of non-local non-stabilizerness}},
	author={Jovan Odavić and Tobias Haug and Gianpaolo Torre and Alioscia Hamma and Fabio Franchini and Salvatore Marco Giampaolo},
	journal={SciPost Phys.},
	volume={15},
	pages={131},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.4.131},
	url={https://scipost.org/10.21468/SciPostPhys.15.4.131},
}