Complexity of frustration: a new source of non-local non-stabilizerness
| Autor: | Odavić, J., Haug, T., Torre, G., Hamma, A., Franchini, F., Giampaolo, S. M. |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | SciPost Phys. 15, 131 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.21468/SciPostPhys.15.4.131 |
| Popis: | 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 R\'enyi 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. Comment: 8 pages, 3 figures |
| Databáze: | arXiv |
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