Nonlocal Hamiltonian simulation assisted by local operations and classical communication

Vidal, G. and Cirac, J. I. (2002) Nonlocal Hamiltonian simulation assisted by local operations and classical communication. Physical Review A, 66 2: 022315-1-022315-12. doi:10.1103/PhysRevA.66.022315

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Author Vidal, G.
Cirac, J. I.
Title Nonlocal Hamiltonian simulation assisted by local operations and classical communication
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2002-08
Sub-type Article (original research)
DOI 10.1103/PhysRevA.66.022315
Open Access Status File (Publisher version)
Volume 66
Issue 2
Start page 022315-1
End page 022315-12
Total pages 12
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract Consider a set of N systems and an arbitrary interaction Hamiltonian H that couples them. We investigate the use of local operations and classical communication (LOCC), together with the Hamiltonian H, to simulate a unitary evolution of the N systems according to some other Hamiltonian H-'. First, we show that the most general simulation using H and LOCC can also be achieved, with the same time efficiency, by just interspersing the evolution of H with local unitary manipulations (LU) of each system and a corresponding local ancilla (in a so-called LU+anc. protocol). Thus, the ability to make local measurements and to communicate classical information does not help in nonlocal Hamiltonian simulation. Second, we show that both for the case of two d-level systems (d>2), or for that of a setting with more than two systems (N>2), LU+anc. protocols are more powerful than LU protocols. Therefore local ancillas are a useful resource for nonlocal Hamiltonian simulation. Third, we use results of majorization theory to explicitly solve the problem of optimal simulation of two-qubit Hamiltonians using LU (equivalently, LU+anc., LO, or LOCC).
Keyword Optics
Physics, Atomic, Molecular & Chemical
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Physical Sciences Publications
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Citation counts: TR Web of Science Citation Count  Cited 16 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 19 Sep 2007, 15:37:28 EST