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Hamiltonian simulation is a class of algorithms that, given a Hermitian matrix A, output a quantum circuit implementing an approximation to the unitary exp[iAt].

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How to implement the cross term (multi-qubit) in the square of the finite difference operator?

I am trying to simulate the Hamiltonian evolution of the 1+1D $\lambda\phi^4$ scalar field theory by digitising it and encoding on a quantum computer. The process of digitising is taken from this pape …
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How to implement the cross term (multi-qubit) in the square of the finite difference operator?

After some looking into this, the two operator product is a tensor product instead of normal matrix multiplication. For a 2 qubit system, operator $\phi(1)$ is represented as a matrix acting on the fu …
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