Practicality of time-optimal two-qubit Hamiltonian simulation

Haselgrove, HL, Nielsen, MA and Osborne, TJ (2003) Practicality of time-optimal two-qubit Hamiltonian simulation. Physical Review A, 68 4: . doi:10.1103/PhysRevA.68.042303

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Author Haselgrove, HL
Nielsen, MA
Osborne, TJ
Title Practicality of time-optimal two-qubit Hamiltonian simulation
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2003
Sub-type Article (original research)
DOI 10.1103/PhysRevA.68.042303
Open Access Status File (Publisher version)
Volume 68
Issue 4
Total pages 8
Editor B Crasemann
Place of publication United States
Publisher American Physical Society
Collection year 2003
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
Abstract What is the time-optimal way of using a set of control Hamiltonians to obtain a desired interaction? Vidal, Hammerer, and Cirac [Phys. Rev. Lett. 88, 237902 (2002)] have obtained a set of powerful results characterizing the time-optimal simulation of a two-qubit quantum gate using a fixed interaction Hamiltonian and fast local control over the individual qubits. How practically useful are these results? We prove that there are two-qubit Hamiltonians such that time-optimal simulation requires infinitely many steps of evolution, each infinitesimally small, and thus is physically impractical. A procedure is given to determine which two-qubit Hamiltonians have this property, and we show that almost all Hamiltonians do. Finally, we determine some bounds on the penalty that must be paid in the simulation time if the number of steps is fixed at a finite number, and show that the cost in simulation time is not too great.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Pair
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2004 Higher Education Research Data Collection
School of Physical Sciences Publications
 
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Created: Wed, 15 Aug 2007, 02:03:51 EST