Konstantina Trivisa (IPST/MATH), AMSC graduate student Jin-Peng Liu, Andrew Childs (CS, QuICS, UMIACS), et al. published an article in PNAS, August 31 edition, entitled “Efficient quantum algorithm for dissipative nonlinear differential equations”.
The authors give the first quantum algorithm for dissipative nonlinear differential equations that is efficient, provided the dissipation is sufficiently strong, relative to nonlinear and forcing terms and the solution does not decay too rapidly. Potential applications in fluid dynamics and epidemiology are discussed. The work was highlighted in Quanta Magazine, Abstractions Blog, January 2021, “New Quantum Algorithms Finally Crack Nonlinear Equations.
Orginally posted via IPST