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The one way quantum computer (QCc)

The one way quantum computer (QCc), aka. measurement based quantum computation. I have invented the QCc jointly with Hans Briegel (US patent 7,277,872). It is a scheme of universal quantum computation by local measurements on a multi-particle entangled quantum state, the so-called cluster state. Quantum information is written into the cluster state, processed and read out by one-qubit measurements only. As the computation proceeds, the entanglement in the resource cluster state is progressively destroyed. Measurements replace unitary evolution as the elementary process driving a quantum computation.

A universal resource for the QCc is the cluster state, a highly entangled mult-qubit quantum state that can be easily generated unitarily by the Ising interaction on a square lattice. In the figure to the left, the qubits forming the cluster state are represented by dots and arrows. The symbol used indicates the basis of local measurement. Dots represent cluster qubits measured in the eigenbasis of the Pauli operator Z, arrows denote measurement in a basis in the equator of the Bloch sphere. The pattern of measurement bases can be regarded as representing a quantum circuit, i.e., the "vertical" direction on the cluster specifies the location of a logical qubit in a quantum register, and the "horizontal" direction on the cluster represents circuit time. However, this simple picture should be taken with a grain of salt: The optimal temporal order of measurements has very little to do with the temporal sequence of gates in the corresponding circuit.

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Briegel HJ, Raußendorf R, Schenzle A. Optical Lattices as a Playground for Studying Multiparticle Entanglement. in Figger H, Zimmermann C, Meschede D, Hrsg., Laser Physics at the Limits. Berlin: Springer Verlag. 2002. S. 433–447 doi: 10.1007/978-3-662-04897-9_40
Dür W, Raussendorf R, Kendon VM, Briegel HJ. Quantum walks in optical lattices. Physical Review A - Atomic, Molecular, and Optical Physics. 2002 Nov 22;66(5):8. doi: 10.48550/arXiv.quant-ph/0207137, 10.1103/PhysRevA.66.052319
Raussendorf R, Browne DE, Briegel HJ. The one-way quantum computer: A non-network model of quantum computation. Journal of Modern Optics. 2002 Jul 10;49(8):1299-1306. doi: 10.48550/arXiv.quant-ph/0108118, 10.1080/09500340110107487
Raußendorf R, Briegel HJ. Computational model underlying the one-way quantum computer. Quantum Information and Computation. 2002;2(6):443-486. doi: 10.26421/qic2.6-3


Briegel HJ, Raussendorf R. Persistent Entanglement in Arrays of Interacting Particles. Physical Review Letters. 2001 Jan 29;86(5):910-913. doi: 10.48550/arXiv.quant-ph/0004051, 10.1103/PhysRevLett.86.910
Raussendorf R, Briegel HJ. A One-Way Quantum Computer. Physical Review Letters. 2001 Mai 28;86(22):5188-5191. doi: 10.1103/PhysRevLett.86.5188