Author

B. Bakalov

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Preprint Aug 2026

Spin models with critical ground space degeneracy from Lie algebra relations

We introduce an $\mathrm{SO}(3)$-symmetric spin model derived from the algebraic structure of $\mathfrak{so}(3)$: It is obtained as the nearest-neighbor parent Hamiltonian of a Matrix Product State (MPS) built from the generators of the Lie algebra $\mathfrak{so}(3)$ and the identity matrix, and therefore encodes the q...

András Molnár, Efekan Kökcü, N. Schuch et al. · 0 citations

Preprint Aug 2026

Hybrid Qubit-Rotor Quantum Systems: Clifford Structure, Universal Control, and Applications

A $U(1)$ quantum rotor pairs a periodic angle with an integer-valued conjugate momentum, and occurs in molecular rotation, superconducting phase-charge circuits, and compact gauge fields. Coupling such a rotor coherently to qubits gives a hybrid register whose control structure is not inherited from either the oscillat...

Dengyao Luo, Arvinda Kushwaha, Mastawal Tirfe et al. · 0 citations

Preprint Aug 2026

Symmetry Constraints Regularize Neural Quantum State Learning

The results indicate that symmetry compilation concentrates the expressive power of NQS on states relevant to the target problem, thereby reducing model size and training cost without sacrificing accuracy.

Turbasu Chatterjee, Manas Sajjan, Songbo Xie et al. · 0 citations