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One-way quantum computation proceeds by sequentially measuring individual spins (qubits) in an entangled many-spin resource state. It remains a challenge, however, to efficiently produce such resource states. Is it possible to reduce the…

Quantum Physics · Physics 2010-11-03 Jonathan Lavoie , Rainer Kaltenbaek , Bei Zeng , Stephen D. Bartlett , Kevin J. Resch

Recently it has been 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 neighbor spin-3/2…

Quantum Physics · Physics 2012-01-17 Andrew S. Darmawan , Gavin K. Brennen , Stephen D. Bartlett

We demonstrate that the spin-2 Affleck-Kennedy-Lieb-Tasaki (AKLT) state on the square lattice is a universal resource for the measurement-based quantum computation. Our proof is done by locally converting the AKLT to two-dimensional random…

Quantum Physics · Physics 2015-08-06 Tzu-Chieh Wei , Robert Raussendorf

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…

Quantum Physics · Physics 2014-11-20 Stephen D. Bartlett , Gavin K. Brennen , Akimasa Miyake , Joseph M. Renes

This article aims to review the developments, both theoretical and experimental, that have in the past decade laid the ground for a new approach to solid state quantum computing. Measurement-based quantum computing (MBQC) requires neither…

Quantum Physics · Physics 2009-11-11 Simon C. Benjamin , Brendon W. Lovett , Jason M. Smith

We investigate a constant-time, fusion measurement-based scheme to create AKLT states beyond one dimension. We show that it is possible to prepare such states on a given graph up to random spin-1 `decorations', each corresponding to a…

Quantum Physics · Physics 2026-02-10 Wenhan Guo , Mikhail Litvinov , Tzu-Chieh Wei , Abid Khan , Kevin C. Smith

We exploit the non-dissipative dynamics of a pair of electrons in a large square quantum dot to perform singlet-triplet spin measurement through a single charge detection and show how this may be used for entanglement swapping and…

We propose a scheme for a ground-code measurement-based quantum computer, which enjoys two major advantages. First, every logical qubit is encoded in the gapped degenerate ground subspace of a spin-1 chain with nearest-neighbor two-body…

Quantum Physics · Physics 2008-07-10 Gavin K. Brennen , Akimasa Miyake

The spin-3/2 Affleck-Kennedy-Lieb-Tasaki (AKLT) valence-bond state on the hexagonal lattice was shown to be a universal resource state for measurement-based quantum computation (MBQC). Can AKLT states of higher spin magnitude support…

Quantum Physics · Physics 2015-01-30 Tzu-Chieh Wei , Poya Haghnegahdar , Robert Raussendorf

Universal quantum computation can be achieved by simply performing single-qubit measurements on a highly entangled resource state. Resource states can arise from ground states of carefully designed two-body interacting Hamiltonians. This…

Quantum Physics · Physics 2012-09-24 Tzu-Chieh Wei , Ian Affleck , Robert Raussendorf

We propose a new scheme of measurement-based quantum computation (MBQC) using an error-correcting code against photon-loss in circuit quantum electrodynamics. We describe a specific protocol of logical single-qubit gates given by sequential…

Quantum Physics · Physics 2019-12-17 Jaewoo Joo , Chang-Woo Lee , Shingo Kono , Jaewan Kim

The ground state of the spin-1 Affleck, Kennedy, Lieb and Tasaki (AKLT) model is a paradigmatic example of both a matrix product state and a symmetry-protected topological phase, and additionally holds promise as a resource state for…

Quantum Physics · Physics 2025-04-01 Kevin C. Smith , Eleanor Crane , Nathan Wiebe , S. M. Girvin

The blind quantum computing protocols (BQC) enable a classical client with limited quantum technology to delegate a computation to the quantum server(s) in such a way that the privacy of the computation is preserved. Here we present a new…

Quantum Physics · Physics 2014-11-19 Tomoyuki Morimae , Vedran Dunjko , Elham Kashefi

Two-electron charged self-assembled quantum dot molecules exhibit a decoherence-avoiding singlet-triplet qubit subspace and an efficient spin-photon interface. Here, we demonstrate that the cycling transitions originating from auxiliary…

Mesoscale and Nanoscale Physics · Physics 2015-09-15 Y. L. Delley , M. Kroner , S. Faelt , W. Wegscheider , A. İmamoğlu

Semiconductor quantum dots (known as artificial atoms) hold great promise for solid-state quantum networks and quantum computers. To realize a quantum network, it is crucial to achieve light-matter entanglement and coherent quantum-state…

Quantum Physics · Physics 2009-01-27 C. Y. Hu , W. J. Munro , J. L. O'Brien , J. G. Rarity

The Measurement Based Quantum Computation (MBQC) model achieves universal quantum computation by employing projective single qubit measurements with classical feedforward on a highly entangled multipartite cluster state. Rapid advances in…

Quantum Physics · Physics 2021-12-23 Swapnil Nitin Shah

One of the fundamental conditions for one-way quantum computation (1WQC) is the ability to make sequential measurements on isolated qubits that comprise the highly entangled resource for 1WQC, the cluster state. This has been a significant…

Quantum Physics · Physics 2009-11-13 Timothy P. Friesen , David L. Feder

Recent experimental progress with Alkaline-Earth atoms has opened the door to quantum computing schemes in which qubits are encoded in long-lived nuclear spin states, and the metastable electronic states of these species are used for…

Quantum Physics · Physics 2011-12-05 Andrew J Daley , Jun Ye , Peter Zoller

The AKLT state is the ground state of an isotropic quantum Heisenberg spin-$1$ model. It exhibits an excitation gap and an exponentially decaying correlation function, with fractionalized excitations at its boundaries. So far, the…

Quantum Physics · Physics 2023-10-18 Tianqi Chen , Ruizhe Shen , Ching Hua Lee , Bo Yang

Control over electron-spin states, such as coherent manipulation, filtering and measurement promises access to new technologies in conventional as well as in quantum computation and quantum communication. We review our proposal of using…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Guido Burkard , Hans-Andreas Engel , Daniel Loss
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