A Weyl-ordered KvN generator with summation-by-parts discretization achieves exact unitary evolution for spectrally truncated fluid and plasma dynamics suitable for quantum computers.
The truncation error is, for any smooth functiong: (D(4)g)i =g ′(ai)− (∆a)4 30 g(5)(ai) +O (∆a)6 .(A8)
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Unitary discretization of the Koopman-von Neumann equation for quantum simulation of fluid and plasma dynamics
A Weyl-ordered KvN generator with summation-by-parts discretization achieves exact unitary evolution for spectrally truncated fluid and plasma dynamics suitable for quantum computers.