Quantum-inspired permanent identities

U Chabaud, A Deshpande, S Mehraban - Quantum, 2022 - quantum-journal.org
The permanent is pivotal to both complexity theory and combinatorics. In quantum
computing, the permanent appears in the expression of output amplitudes of linear optical …

Benchmarking a boson sampler with Hamming nets

IA Iakovlev, OM Sotnikov, IV Dyakonov, EO Kiktenko… - Physical Review A, 2023 - APS
Analyzing the properties of complex quantum systems is crucial for further development of
quantum devices, yet this task is typically challenging and demanding with respect to the …

The Dirac operator for the pair of Ruelle and Koopman operators, and a generalized Boson formalism

WMM Braucks, AO Lopes - arxiv preprint arxiv:2409.18133, 2024 - arxiv.org
Denote by $\mu $ the maximal entropy measure for the shift acting on $\Omega=\{0,
1\}^\mathbb {N} $, by $\mathcal {L} $ the associated Ruelle operator and by $\mathcal …

Para-particle oscillator simulations on a trapped ion quantum computer

CH Alderete, AM Green, NH Nguyen, Y Zhu… - arxiv preprint arxiv …, 2022 - arxiv.org
Deformed oscillators allow for a generalization of the standard fermions and bosons,
namely, for the description of para-particles. Such particles, while indiscernible in nature …