Measurement-based quantum computation in a two-dimensional phase of matter

Andrew S. Darmawan; Gavin K. Brennen; Stephen D. Bartlett

doi:10.1088/1367-2630/14/1/013023

Measurement-based quantum computation in a two-dimensional phase of matter

Andrew S. Darmawan, Gavin K. Brennen, Stephen D. Bartlett^*

^*Corresponding author for this work

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

36 Citations (Scopus)

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Abstract

Recently, it was shown that the non-local correlations needed for measurement-based quantum computation (MBQC) can be revealed in the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model involving nearest-neighbour spin-3/2 interactions on a honeycomb lattice. This state is not singular but resides in the disordered phase of the ground states of a large family of Hamiltonians characterized by short-range-correlated valence bond solid states. By applying local filtering and adaptive single-particle measurements, we show that most states in the disordered phase can be reduced to a graph of correlated qubits that is a scalable resource for MBQC. At the transition between the disordered and Néel ordered phases, we find a transition from universal to non-universal states as witnessed by the scaling of percolation in the reduced graph state.

Original language	English
Article number	013023
Pages (from-to)	1-14
Number of pages	14
Journal	New Journal of Physics
Volume	14
DOIs	https://doi.org/10.1088/1367-2630/14/1/013023
Publication status	Published - 13 Jan 2012

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Copyright the Publisher [2012]. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

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10.1088/1367-2630/14/1/013023

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Measurement-based quantum computation in a two-dimensional phase of matter

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