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Necessary conditions for efficient simulation of Hamiltonians using
local unitary operations
(pp249-257) Hao Chen
doi:https://doi.org/10.26421/QIC3.3-6
Abstracts:
We study necessary conditions for the efficient
simulation of both bipartite and multipartite Hamiltonians, which are
based on the algebraic-geometric invariants introduced in [1-2], but
independent of the eigenvalues of Hamiltonians. Our results indicate
that the problem of efficient simulation of Hamiltonians for arbitrary
bipartite or multipartite quantum systems cannot be described by using
only eigenvalues, unlike that in the two-qubit case. Key words:
Hamiltonian simulation, algebraic-geometric invariant
