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Bounds on universal quantum computation with perturbed two-dimensional cluster states

Orus R, Kalis H, Bornemann M, Schmidt KP (2013)

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Publication Status: Published

Publication Type: Journal article

Publication year: 2013

Journal

Publisher: AMER PHYSICAL SOC

Book Volume: 87

Journal Issue: 6

DOI: 10.1103/PhysRevA.87.062312

Abstract

Motivated by the possibility of universal quantum computation under noise perturbations, we compute the phase diagram of the two-dimensional (2D) cluster state Hamiltonian in the presence of Ising terms and magnetic fields. Unlike in previous analysis of perturbed 2D cluster states, we find strong evidence of a very well-defined cluster phase, separated from a polarized phase by a line of first-and second-order transitions compatible with the 3D Ising universality class and a tricritical end point. The phase boundary sets an upper bound for the amount of perturbation in the system so that its ground state is still useful for measurement-based quantum computation purposes. Moreover, we also compute the local fidelity with the unperturbed 2D cluster state. Besides a classical approximation, we determine the phase diagram by combining series expansion and variational infinite projected entangled-pair states methods. Our work constitutes an analysis of the nontrivial effect of few-body perturbations in the 2D cluster state, which is of relevance for experimental proposals.

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How to cite

APA:

Orus, R., Kalis, H., Bornemann, M., & Schmidt, K.P. (2013). Bounds on universal quantum computation with perturbed two-dimensional cluster states. Physical Review A, 87(6). https://dx.doi.org/10.1103/PhysRevA.87.062312

MLA:

Orus, Roman, et al. "Bounds on universal quantum computation with perturbed two-dimensional cluster states." Physical Review A 87.6 (2013).

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