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

Hao Chen

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

Hao Chen

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Abstract

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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Hao Chen. 2003-05-05. Necessary conditions for the efficient simulation of Hamiltonians using local unitary operations. https://arxiv.org/abs/quant-ph/0109115

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