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Quantum computational renormalization in the Haldane phase · Around

2010

Quantum computational renormalization in the Haldane phase

Bartlett, Stephen D., Brennen, Gavin K., Miyake, Akimasa et al.

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Single-spin measurements on the ground state of an interacting spin lattice can be used to perform a quantum computation.

We show how such measurements can mimic renormalization group transformations and remove the short-ranged variations of the state that can reduce the fidelity of a computation.
This suggests that the quantum computational ability of a spin lattice could be a robust property of a quantum phase.
We illustrate our idea with the ground state of a spin-1 chain, which can serve as a quantum computational wire not only at the Affleck-Kennedy-Lieb-Tasaki point, but within the rotationally-invariant Haldane phase.

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