References
- Boghosian, B.M.; Taylor IV, W. Quantum Lattice Gas Models for the Many-Body Schrodinger Equation. Int. J. Modern Phys. C 1997, 8, 705–716.
- Boghosian, B.M.; Taylor IV, W. Simulating Quantum Mechanics on a Quantum Computer. Phys. D1998, 120, 30–42.
- Yepez, J.; Boghosian, B.M. An Efficient and Accurate Quantum Lattice-Gas Model for the Many-Body Schroedinger Wave Equation. Comput. Phys. Commun. 2002, 146, 280–294.
- Vahala, G.; Vahala, L.; Yepez, J. Quantum Lattice Gas Representation of Some Classical Solitons. Phys. Lett. A 2003, 310, 187–196.
- Vahala, L.; Vahala, G.; Yepez, J. Lattice Boltzmann and Quantum Lattice Gas Representations of One-Dimensional Magnetohydrodynamic Turbulence. Phys. Lett. A 2003, 306, 227–234.
- Vahala, G.; Vahala, L.; Yepez, J. Inelastic Vector Soliton Collisions: a Lattice Based Quantum Representation. Phil. Trans. Math. Phys. Eng. Sci. R. Soc. 2004, 362, 1677–1690.
- Vahala, G.; Vahala, L.; Soe, M.; Ram, A.K. Unitary Quantum Lattice Simulations for Maxwell Equations in Vacuum and in Dielectric Media. J. Plasma Phys. 2020, 86, 905860518.
- Succi, S. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond; Oxford University Press: Oxford, 2001.
- Frapoli, N.; Chikatamaria, S.S.; Karlin, I.V. Entropic Lattice Boltzmann Model for Compressible Flows. Phys. Rev. E 2015, 92, 061301.
- Dorschner, B.; Bosch, F.; Karlin, I.V. Particles on Demand for Kinetic Theory. Phys. Rev. Lett. 2018,121, 130602.
- Kallikounis, N.G.; Karlin, I.V. Particles on Demand Method: Theoretical Analysis, Simplification Techniques and Model Extensions. arXiv:2302.00310v1, 2023.
- Koukoutsis, E.; Hizanidis, K.; Ram, A.K.; Vahala, G. Dyson Maps and Unitary Evolution for Maxwell Equations in Tensor Dielectric Media. Phys. Rev. A. 2023, 107, 042215.
- Koukoutsis, E.; Hizanidis, K.; Ram, A.K.; Vahala, G. Quantum Simulation of Dissipation for Maxwell Equations in Dispersive Media. arXiv:2308.00056, 2023.
- Meng, Z.; Yang, Y.U.E. Quantum Computing of Fluid Dynamics Using the Hydrodynamic Schrodinger Equation. arXiv:2302.09741v1, 2023.