Sample-efficient randomized measurements for lattice gauge theories
ORAL
Abstract
Randomized measurement techniques provide a versatile framework for extracting a wide range of properties from quantum states. In their most general form, these methods are state-agnostic and particularly effective at estimating generic quantum observables. However, it has been recognized that incorporating prior knowledge—especially in the form of symmetries—can significantly enhance their efficiency, potentially at the cost of deeper randomization circuits. Focusing on the example of the Z2 lattice gauge theory, we study a family of randomized measurement protocols designed to balance the tradeoff between symmetry and circuit complexity. We demonstrate that in a variety of physically relevant settings, the symmetry-informed protocols outperform a symmetry-agnostic approach. We analyze the resulting trade-offs between sample efficiency and circuit depth, and identify specific problem instances where symmetry-tailored protocols yield clear performance advantages over their generic counterparts.
*J.B. thanks the Harvard Quantum Initiative for support. H.F. and N.M. (during early stages) acknowledge funding by the DOE, Office of Science, Office of Nuclear Physics, IQuS (https://iqus.uw.edu), via the program on Quantum Horizons: QIS Research and Innovation for Nuclear Science under Award DE-SC0020970. J.B. notes that the views expressed in this work are those of the author and do not reflect the official policy or position of the U.S. Naval Academy, Department of the Navy, the Department of Defense, or the U.S. Government.
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Publication: manuscript in preparation
Presenters
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Henry F Froland
- University of Washington