Author

P. M. Posta

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Preprint Sep 2026

Optimal learning of covariant quantum states and channels

We give collective tomography protocols for quantum states and channels with known symmetries, using random purification and dilation to reduce learning to pure-state estimation. For states commuting with a compact-group representation with multiplicities $m_\lambda$, the optimal copy complexity is $\Theta((\sum_\lambd...

Satoshi Yoshida, K. Okigami, P. M. Posta et al. · 0 citations

Preprint Aug 2026

Quantum Fourier transform toolbox

Quantum Fourier transforms (QFTs) are essential primitives in quantum algorithms. While abelian groups admit efficient QFT circuits, with circuit size polynomial in the logarithm of the group order, efficient constructions are known for relatively few non-abelian families. We develop two new approaches to QFT circuit c...

Carli Bruinsma, P. M. Posta, Joppe Stokvis et al. · 0 citations