A mapping from the Schrödinger equation to real second-order ODEs lets analog classical devices, such as spring-mass systems, simulate quantum dynamics and run quantum algorithms like QAOA, at exponential hardware cost.
Therefore, for time-independent H, the Hermitian matrix K is necessarily positive semidefinite
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Analog classical simulation of closed quantum systems
A mapping from the Schrödinger equation to real second-order ODEs lets analog classical devices, such as spring-mass systems, simulate quantum dynamics and run quantum algorithms like QAOA, at exponential hardware cost.