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Manipulating two-spin coherences and qubit pairs

A.R.P. Rau
(
- Louisiana State U.
)

Feb 9, 2000

5 pages

Published in:

Phys.Rev.A 61 (2000) 3, 032301

Published: Feb 9, 2000

DOI:

10.1103/PhysRevA.61.032301

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Abstract:

A compact derivation is given for propagators of a wide class of time-dependent Hamiltonians that describe coupled spin ("qubit") pairs. As many as eight of the 16 operators in the system, each with its own time-dependent coefficient, can be handled with no more difficulty than a single spin in a magnetic field. A single first-order (in time), quadratically nonlinear differential equation for a classical function is the only nontrivial ingredient in constructing the full quantum propagator for a wide variety of magnetic coherences and qubit interactions.

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