Author

Chirag Wadhwa

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Preprint Sep 2026

Optimal Purity Estimation with Incoherent Measurements

In this work, we consider the fundamental task of estimating the purity of an unknown state to within $\textit{multiplicative}$ error $\varepsilon$. When one can perform general collective measurements, $\Theta\left(\frac{\sqrt{d}}{\varepsilon^2} + \frac{d}{\varepsilon}\right)$ copies are known to be necessary and suff...

Junseo Lee, Chirag Wadhwa · 0 citations

Preprint Sep 2026

Distributed Quantum Property Testing with Quantum Carrier Pigeons

It is demonstrated that shared randomness is necessary to achieve the complexity of distributed state certification with limited communication, and an $\Omega$ lower bound in the $\textit{private-coin}$ setting is proved.

Kenny Chen, Mina Doosti, R. Sweke et al. · 1 citation

Jul 2026

Spectrum Estimation is Almost as Hard as Tomography

We study the sample complexity of estimating and testing fundamental unitarily invariant properties of unknown quantum states; namely, the tasks of spectrum estimation, von Neumann entropy estimation, and rank-testing. For $d$-dimensional states, and for every $\gamma>0$, we prove a sample complexity lower bound of $\O...

Marco Fanizza, Ryan O'Donnell, Chirag Wadhwa · arXiv.org · 2 citations