Optimal simulation of two-qubit Hamiltonians using general local operations

Bennett, C. H., Cirac, J. I., Leifer, M. S., Leung, D. W., Linden, N., Popescu, S. and Vidal, G. (2002) Optimal simulation of two-qubit Hamiltonians using general local operations. Physical Review A, 66 1: 012305-1-012305-16. doi:10.1103/PhysRevA.66.012305

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Author Bennett, C. H.
Cirac, J. I.
Leifer, M. S.
Leung, D. W.
Linden, N.
Popescu, S.
Vidal, G.
Title Optimal simulation of two-qubit Hamiltonians using general local operations
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2002-07-01
Year available 2002
Sub-type Article (original research)
DOI 10.1103/PhysRevA.66.012305
Open Access Status File (Publisher version)
Volume 66
Issue 1
Start page 012305-1
End page 012305-16
Total pages 16
Place of publication College Park, MD, United States
Publisher The American Physical Society
Language eng
Abstract We consider the simulation of the dynamics of one nonlocal Hamiltonian by another, allowing arbitrary local resources but no entanglement or classical communication. We characterize notions of simulation, and proceed to focus on deterministic simulation involving one copy of the system. More specifically, two otherwise isolated systems A and B interact by a nonlocal Hamiltonian Hnot equalH(A)+H-B. We consider the achievable space of Hamiltonians H-' such that the evolution e(-iH')t can be simulated by the interaction H interspersed with local operations. For any dimensions of A and B, and any nonlocal Hamiltonians H and H-', there exists a scale factor s such that for all times t the evolution e(-iH')st can be simulated by H acting for time t interspersed with local operations. For two-qubit Hamiltonians H and H-', we calculate the optimal s and give protocols achieving it. The optimal protocols do not require local ancillas, and can be understood geometrically in terms of a polyhedron defined by a partial order on the set of two-qubit Hamiltonians.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Quantum Computation
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 68 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 69 times in Scopus Article | Citations
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Created: Wed, 19 Sep 2007, 15:31:14 EST