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• W4387307624 abstract "We advance the characterization of complexity in quantum many-body systems by examining W <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>W</mml:mi></mml:math> -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 <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>W</mml:mi></mml:math> -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 <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>W</mml:mi></mml:math> -states plus an extensive local contribution. Our work reveals that W <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>W</mml:mi></mml:math> -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." @default.
• W4387307624 created "2023-10-04" @default.
• W4387307624 creator A5003241967 @default.
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• W4387307624 date "2023-10-03" @default.
• W4387307624 modified "2023-10-14" @default.
• W4387307624 title "Complexity of frustration: A new source of non-local non-stabilizerness" @default.
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• W4387307624 doi "https://doi.org/10.21468/scipostphys.15.4.131" @default.
• W4387307624 hasPublicationYear "2023" @default.
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