Quantum computational renormalization in the Haldane phase

Details Quantum computational renormalization in the Haldane phase Quantum computational renormalization in the Haldane phase

2010-04-27

arxiv.org/abs/1004.4906v3

Phys. Rev. Lett. 105, 110502 (2010)

Physics

Quantum Physics

v2: 4 pages, 3 figures; improved description of buffering scheme and connection to string operators. v3: final published versi

Scientific paper

10.1103/PhysRevLett.105.110502

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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