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Greenberger-Horne-Zeilinger state protocols for fully connected qubit networks | | Andrei Galiautdinov
; Mark W. Coffey
; Ron Deiotte
; | | Date: |
13 Jul 2009 | | Abstract: | We generalize the recently proposed Greenberger-Horne-Zeilinger (GHZ)
tripartite protocol [A. Galiautdinov, J. M. Martinis, Phys. Rev. A 78,
010305(R) (2008)] to fully connected networks of weakly coupled qubits
interacting by way of anisotropic Heisenberg exchange g(XX+YY)+g1ZZ. Our model
differs from the more familiar Ising-Heisenberg chain in that here every qubit
interacts with every other qubit in the circuit. The assumption of identical
couplings on all qubit pairs allows an elegant proof of the protocol for
arbitrary N. In order to make contact with experiment, we study fidelity
degradation due to coupling imperfections by numerically simulating the N=3 and
N=4 cases. Our simulations indicate that the best fidelity at unequal couplings
is achieved when (a) the system is initially prepared in the uniform
superposition state (similarly to how it is done in the ideal case), and (b)
the entangling time and the final rotations on each of the qubits are
appropriately adjusted. | | Source: | arXiv, 0907.2225 | | Services: | Forum | Review | PDF | Favorites | |
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