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This research establishes a rigorous mathematical criterion for quantum advantage by framing computation as an operator controllability problem rather than relying solely on raw speedup metrics. By proving that the Quantum Fourier Transform and Maximum Independent Set satisfy polynomial time bounds under this framework, the work provides a systematic method to validate genuine computational superiority across both superconducting and neutral-atom hardware architectures.

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Pighin and Colleagues Develop Control Framework for Characterizing Quantum Advantage

Quantum Zeitgeist15 iunie 20264 min de cititArticolul și perspectiva sunt în engleză.

An upper bound of O(n^2) now defines the minimal time required for the Quantum Fourier Transform on superconducting computers. This work presents a new framework identifying quantum advantage with operator controllability, moving beyond demonstrations of speedup to a systematic method for its assessment. The Maximum Independent Set problem is also shown solvable on Pasqal quantum hardware using this approach.

Dario Pighin, of the University of Strathclyde, and colleagues have created a new control-theoretic framework to systematically characterise the emergence of Quantum Advantage. The framework reveals that Quantum Advantage arises when a quantum computation can be understood as an operator controllability problem, with a polynomial-in-n upper bound on the minimal time required for the computation. It applies to both digital and analogue quantum processors, specifically proving operator controllability for the Quantum Fourier Transform on superconducting systems…

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