Decoherence of an $n$-qubit quantum memory

Details Decoherence of an $n$-qubit quantum memory Decoherence of an $n$-qubit quantum memory

2007-03-20

arxiv.org/abs/quant-ph/0703190v1

Phys. Rev. Lett. 99, 240405 (2007)

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.99.240405

We analyze decoherence of a quantum register in the absence of non-local operations i.e. of $n$ non-interacting qubits coupled to an environment. The problem is solved in terms of a sum rule which implies linear scaling in the number of qubits. Each term involves a single qubit and its entanglement with the remaining ones. Two conditions are essential: first decoherence must be small and second the coupling of different qubits must be uncorrelated in the interaction picture. We apply the result to a random matrix model, and illustrate its reach considering a GHZ state coupled to a spin bath.

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