Quantum computational renormalization in the haldane phase

Stephen D. Bartlett; Gavin K. Brennen; Akimasa Miyake; Joseph M. Renes

doi:10.1103/PhysRevLett.105.110502

Quantum computational renormalization in the haldane phase

Stephen D. Bartlett, Gavin K. Brennen, Akimasa Miyake, Joseph M. Renes

Macquarie University Research Centre in Quantum Science and Technology

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

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Abstract

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 rotationally invariant spin-1 chain, which can serve as a quantum computational wire not only at the Affleck-Kennedy-Lieb-Tasaki point, but within the Haldane phase.

Original language	English
Article number	110502
Pages (from-to)	1-4
Number of pages	4
Journal	Physical Review Letters
Volume	105
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevLett.105.110502
Publication status	Published - 10 Sept 2010

Bibliographical note

Stephen D. Bartlett, Gavin K. Brennen, Akimasa Miyake, and Joseph M. Renes, Phys. Rev. Lett. 105, 110502 (2010) [4 pages]. Copyright (2010) by the American Physical Society. The original article can be found at http://link.aps.org/doi/10.1103/PhysRevLett.105.110502.

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Quantum computational renormalization in the haldane phase

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