Operational certification of nonclassicality in arbitrary quantum states from few copies
Abstract
States with negative Wigner functions constitute a fundamental nonclassical resource underlying quantum advantage. However, their experimental certification typically relies on reconstructing the full phase-space distribution, resulting in a prohibitive measurement overhead for arbitrary quantum states. In this letter, we overcome this limitation by introducing Wigner moments, a family of global phase-space quantities that admit an exact multicopy realization as parity expectation values, and are therefore directly measurable from only a modest number of state copies. This operational correspondence enables systematic hierarchies of detection criteria together with experimentally accessible lower bounds on the logarithmic Wigner negativity, and constitutes a genuine measure of nonclassicality. Numerical benchmarking of our protocol reveals a substantial reduction in copy budget relative to conventional Wigner tomography, establishing Wigner moments as an efficient framework for certifying continuous-variable quantum resources such as genuine multipartite entanglement.
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BibTeX
@misc{chakrabarty2026operational,
title = {{Operational certification of nonclassicality in arbitrary quantum states from few copies}},
author = {Sudip Chakrabarty and Bivas Mallick and Ananda G. Maity and A. S. Majumdar},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.26084},
eprint = {2606.26084},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.26084},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Operational certification of nonclassicality in arbitrary quantum states from few copies
AU - Sudip Chakrabarty
AU - Bivas Mallick
AU - Ananda G. Maity
AU - A. S. Majumdar
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2606.26084
UR - https://arxiv.org/abs/2606.26084
AB - States with negative Wigner functions constitute a fundamental nonclassical resource underlying quantum advantage. However, their experimental certification typically relies on reconstructing the full phase-space distribution, resulting in a prohibitive measurement overhead for arbitrary quantum states. In this letter, we overcome this limitation by introducing Wigner moments, a family of global phase-space quantities that admit an exact multicopy realization as parity expectation values, and are therefore directly measurable from only a modest number of state copies. This operational correspondence enables systematic hierarchies of detection criteria together with experimentally accessible lower bounds on the logarithmic Wigner negativity, and constitutes a genuine measure of nonclassicality. Numerical benchmarking of our protocol reveals a substantial reduction in copy budget relative to conventional Wigner tomography, establishing Wigner moments as an efficient framework for certifying continuous-variable quantum resources such as genuine multipartite entanglement.
ER -