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Creators/Authors contains: "Kollár, Alicia"

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  1. ; ; ; ; ; ; (, PRX Quantum)
    Existing schemes for demonstrating quantum computational advantage are subject to various practical restrictions, including the hardness of verification and challenges in experimental implementation. Meanwhile, analog quantum simulators have been realized in many experiments to study novel physics. In this work, we propose a quantum advantage protocol based on verification of an analog quantum simulation, in which the verifier need only run an O ( λ 2 ) -time classical computation, and the prover need only prepare O ( 1 ) samples of a history state and perform O ( λ 2 ) single-qubit measurements, for a security parameter λ . We also propose a near-term feasible strategy for honest provers and discuss potential experimental realizations. Published by the American Physical Society2025 
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    Free, publicly-accessible full text available March 1, 2026
  2. ; (, Communications of the American Mathematical Society)
    We study gaps in the spectra of the adjacency matrices of large finite cubic graphs. It is known that the gap intervals ( 2 2 , 3 ) (2 \sqrt {2},3) and [ − 3 , − 2 ) [-3,-2) achieved in cubic Ramanujan graphs and line graphs are maximal. We give constraints on spectra in [ − 3 , 3 ] [-3,3] which are maximally gapped and construct examples which achieve these bounds. These graphs yield new instances of maximally gapped intervals. We also show that every point in [ − 3 , 3 ) [-3,3) can be gapped by planar cubic graphs. Our results show that the study of spectra of cubic, and even planar cubic, graphs is subtle and very rich. 
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  3. ; ; ; (, Physical Review Letters)
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  4. ; ; ; ; ; (, Physical Review B)
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  5. ; ; ; ; (, Physical Review Letters)
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  6. ; ; ; (, Communications in Mathematical Physics)
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  7. ; ; ; ; ; ; ; ; ; ; et al (, PRX Quantum)
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