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Researchers have established a method to recover quantum Hamiltonians from a single measurement by leveraging a measurable gap in the commutator between time-evolved operators and local observables. This advance overcomes previous limitations requiring multiple observations, enabling efficient system identification even at extended time scales. The result provides a robust framework for characterizing quantum dynamics and understanding thermalization with reduced experimental overhead.

Surse care acoperăQuantum Zeitgeist, Quantum Frontiers

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Researchers Recover Hamiltonians from Time Evolution with High Probability

Quantum Zeitgeist11 iunie 20266 min de cititArticolul și perspectiva sunt în engleză.

Any normalized local observable evolving under an unknown Hamiltonian maintains a measurable gap, ensuring its properties can be determined even with prolonged evolution. This establishes a method for recovering Hamiltonians, up to a scaling factor, from a single measurement, unlike previous techniques needing multiple observations. The finding demonstrates that any such observable satisfies ∥[U(t), A]∥²F ≥ 1/poly(n), opening new avenues for quantum system identification.

Constantin Cedillo Vayson de Pradenne and colleagues at Harvard University, in collaboration with Caltech, have found that a unique approximate conserved observable exists and can be efficiently recovered for many local Hamiltonians. The findings show that any normalised, local observable orthogonal to the Hamiltonian exhibits a minimal commutator with the time-evolved operator, guaranteeing its identifiability. This provides a pathway to learning Hamiltonians even at extended time scales and offers a new understanding of thermalisation in quantum systems. Physicists have demonstrated a significant improvement in the lower bound of the commutator between a time-evolved operator, U(t) = exp(-iHt), and any normalised local observable, A, orthogonal to the…

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