Necessary conditions for the efficient simulation of Hamiltonians using local unitary operations

Details Necessary conditions for the efficient simulation of Hamiltonians using local unitary operations Necessary conditions for the efficient simulation of Hamiltonians using local unitary operations

2001-09-22

arxiv.org/abs/quant-ph/0109115v8

Quantum Information and Compuation, Vol.3,no.3(2003)

Physics

Quantum Physics

published version

Scientific paper

We study necessary conditions for the efficient simulation of both bipartite and multipartite Hamiltonians, which are independent of the eigenvalues and based on the algebraic-geometric invariants introduced in [1-2]. Our results indicate that the problem of efficient simulation of Hamiltonians for arbitrary and multipartite quantum systems cannot be described by using only eigenvalues, unlike that in the two-qubit case.

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