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quant-ph2026
Optimal learning of covariant quantum states and channels
Satoshi Yoshida, Kazuki Okigami, Pietro M. Posta +1
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. F…
quant-ph2026
Quantum Fourier transform toolbox
Carli Bruinsma, Pietro M. Posta, Joppe Stokvis +2
Quantum Fourier transforms (QFTs) are essential primitives in quantum algorithms. While abelian groups admit efficient QFT circuits, with circuit size polynomial in the logarithm o…
quant-ph2026
Plethysm is in #BQP
Matthias Christandl, Aram W. Harrow, Greta Panova +2
Some representation-theoretic multiplicities, such as the Kostka and the Littlewood-Richardson coefficients, admit a combinatorial interpretation that places their computation in t…