Exact simulation of multi-qubit dynamics with only three qubitsA. Olaya-Castro, C. F. Lee and N. F. Johnson
Centre for Quantum Computation and Physics Department, Clarendon Laboratory Oxford University - Parks Road, OX1 3PU, UK
received 15 January 2006; accepted in final form 20 February 2006
published online 15 March 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 M+1 qubit systems, with one or M excitations, can be reduced to an equivalent n+1 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.
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.).
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