Quantum Spectral Methods for Differential Equations
Andrew M. Childs, Jin-Peng Liu
Topics & Concepts
MathematicsQuantum algorithm for linear systems of equationsQuantum algorithmSpectral methodBoundary value problemLinear differential equationQuantumNumerical partial differential equationsDifferential equationMathematical analysisQuantum phase estimation algorithmLinear algebraHilbert spaceQuantum stateComputational complexity theoryApplied mathematicsQuantum systemExponential integratorNumerical analysisOrdinary differential equationQuantum operationLinear systemLinear equationPartial differential equationNonlinear systemNumerical stabilitySystem of linear equationsQuantum processAlgorithmFinite difference methodQuantum Computing Algorithms and ArchitecturePolynomial and algebraic computationQuantum Information and Cryptography