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Researchers from the University of Tokyo have demonstrated that complexity in the Dyck-Fordkin quantum system does not always scale linearly with size; instead, it can grow logarithmically or remain constant under specific parameter settings. This discovery challenges standard expectations for many-body systems and provides a novel method for probing non-stabilizerness, or "quantum magic," which is essential for characterizing resources required for universal quantum computation.

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Researchers Find System Size Impacts Quantum State ‘magic’ at One Specific Point

Quantum ZeitgeistOctober 1, 20264 min read

Does complexity in a quantum system always grow proportionally to its size. Calculations reveal it does not, for the Dyck-Fredkin chain at specific conditions, complexity scales logarithmically [Θ(log N)] rather than extensively, defying expectations seen in numerous other quantum models. This shift hints at previously unrecognised behaviours linked to this particular system’s unusual properties and offers an alternative way to probe complex states.

Stabilizer Rényi entropy scales differently within a specific quantum system according to work from the University of Tokyo, opening avenues for understanding complex many-body states. The research focuses on the Dyck-Fredkin chain and its variations; it found that this scaling differs depending on parameter values, growing with the size of the system for some settings but logarithmically or as a constant value under others. Quantifying 'magic', or non-stabilizerness, within the Dyck-Fredkin chain behaves unexpectedly; unlike…

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