Quantum dynamics of two coupled qubits

Milburn, G. J., Laflamme, R., Sanders, B. C. and Knill, E. (2002) Quantum dynamics of two coupled qubits. Physical Review A, 65 3: 032316. doi:10.1103/PhysRevA.65.032316

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Author Milburn, G. J.
Laflamme, R.
Sanders, B. C.
Knill, E.
Title Quantum dynamics of two coupled qubits
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2002
Sub-type Article (original research)
DOI 10.1103/PhysRevA.65.032316
Open Access Status File (Publisher version)
Volume 65
Issue 3
Start page 032316
Total pages 10
Editor B. Crasemann
Place of publication United States
Publisher American Physical Society
Collection year 2002
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
Abstract We investigate the difference between classical and quantum dynamics of coupled magnetic dipoles. We prove that in general the dynamics of the classical interaction Hamiltonian differs from the corresponding quantum model, regardless of the initial state. The difference appears as nonpositive-definite diffusion terms in the quantum evolution equation of an appropriate positive phase-space probability density. Thus, it is not possible to express the dynamics in terms of a convolution of a positive transition probability function and the initial condition as can be done in the classical case. It is this feature that enables the quantum system to evolve to an entangled state. We conclude that the dynamics are a quantum element of nuclear magnetic resonance quantum-information processing. There are two limits where our quantum evolution coincides with the classical one: the short-time limit before spin-spin interaction sets in and the long-time limit when phase diffusion is incorporated.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Information
Computation
Nmr
Entanglement
Resonance
Computer
Q-Index Code C1

 
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Created: Tue, 14 Aug 2007, 17:49:22 EST