The Algebraic Bethe Ansatz (ABA) is a highly successful analytical method used to exactly solve several physical models in both statistical mechanics and condensed-matter physics. Here we bring the ABA into unitary form, for its direct implementation on a quantum computer. This is achieved by distilling the non-unitary R matrices that make up the ABA into unitaries using the QR decomposition. Our algorithm is deterministic and works for both real and complex roots of the Bethe equations. We illustrate our method on the spin-12 XX and XXZ models. We show that using this approach one can efficiently prepare eigenstates of the XX model on a quantum computer with quantum resources that match previous state-of-the-art approaches. We run small-scale error-mitigated implementations on the IBM quantum computers, including the preparation of the ground state for the XX and XXZ models on 4 sites. Finally, we derive a new form of the Yang-Baxter equation using unitary matrices, and also verify it on a quantum computer.

Error mitigation is likely to be key in obtaining near term quantum advantage. In this work we present one of the first implementations of several Clifford data regression (CDR) based methods which are used to mitigate the effect of noise in real quantum data. We explore the dynamics of the 1D Ising model with transverse and longitudinal magnetic fields, highlighting signatures of confinement. We find in general CDR based techniques are advantageous in comparison with zero-noise extrapolation and obtain quantitative agreement with exact results for systems of nine qubits with circuit depths of up to 176, involving hundreds of CNOT gates. This is the largest systems investigated so far in a study of this type. We also investigate the two-point correlation function and find the effect of noise on this more complicated observable can be mitigated using Clifford quantum circuit data highlighting the utility of these methods.

Conditions for extraction of free amino acids from tomato leaves were examined. Two methods of sample preservation were also tested. Best results were obtained when samples were preserved by lyophilization and extracted by Soxhlet for 6 h at 40~ at a ratio of 1 g plant material/80 mL 80% (v/v) ethanol.