Скачать или смотреть INQA Conference 2025: Marcin Płodzień - Qilimanjaro Quantum Tech

Title: Non-stabilizerness in analog quantum simulators for quantum
metrology

Abstract: Non-stabilizerness, colloquially magic state resource, has emerged as the resource that separates classically simulable quantum circuits from those offering a genuine quantum-computational advantage. Although its dynamics have been mapped in digital architectures, almost nothing is known about how magic resources are generated in analog quantum simulators with all-toall couplings. Here we provide the study of magic state resources production in paradigmatic spin-squeezing protocols, i.e. one-axis twisting model. We derive closed-form expressions for the stabilizer Rényi entropies (SRE) for spinsqueezing dynamics. We show that magic appears simultaneously with the onset of metrologically useful spin squeezing in the short-time evolution. On the longer time scales, maxima of magic correspond to the generation of multi-heads kitten states sharing many-body Bell-correlations. Kitten states, however saturates SRE at constant values for large system sizes. We conclude that the states under study, which have applications in quantum sensing, feature sub-volume law scaling or even a fixed value of the SRE with the system size.