English

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

Quantum Physics 2007-05-23 v8

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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Cite

@article{arxiv.quant-ph/0109115,
  title  = {Necessary conditions for the efficient simulation of Hamiltonians using local unitary operations},
  author = {Hao Chen},
  journal= {arXiv preprint arXiv:quant-ph/0109115},
  year   = {2007}
}

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published version

R2 v1 2026-07-22T19:32:21.870Z