Volume 74, Number 2, April 2006
|Page(s)||208 - 214|
|Published online||15 March 2006|
Exact simulation of multi-qubit dynamics with only three qubits
Centre for Quantum Computation and Physics Department, Clarendon Laboratory Oxford University - Parks Road, OX1 3PU, UK
Accepted: 20 February 2006
We present equivalence relations which simplify the dynamics of an important class of interacting multi-qubit systems. We show that a wide class of qubit systems, with one or M excitations, can be reduced to an equivalent qubit system with , for any M. The equivalent system faithfully reproduces the overall dynamics of the original one including the entanglement properties. In addition to its direct application to qubit-cavity systems, the formalism offers insight into a variety of situations ranging from decoherence due to a spin-bath with its own internal entanglement, through to energy transfer processes in organic systems such as biological photosynthetic units.
PACS: 03.67.Mn – Entanglement production, characterization, and manipulation / 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.)
© EDP Sciences, 2006
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