Leibniz Universität Hannover Faculty Faculty of Mathematics and Physics
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Institute of Theoretical Physics
 
Institute of Theoretical Physics Research Groups Robert Raussendorf
Publications

Publications

Selected Publications

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.

Image Image Image
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.

Other Publications

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2005

Raussendorf R, Briegel HJ. Computational Model for the One-Way Quantum Computer: Concepts and Summary. In Beth T, Leuchs G, editors, Quantum Information Processing. Wiley-Blackwell. 2005. p. 28-43 doi: 10.48550/arXiv.quant-ph/0207183, 10.1002/3527606009.ch3
Raussendorf R, Bravyi S, Harrington J. Long-range quantum entanglement in noisy cluster states. Physical Review A - Atomic, Molecular, and Optical Physics. 2005 Jun 14;71(6):062313. doi: 10.48550/arXiv.quant-ph/0407255, 10.1103/PhysRevA.71.062313
Raussendorf R. Quantum cellular automaton for universal quantum computation. Physical Review A - Atomic, Molecular, and Optical Physics. 2005 Aug;72(2):022301. doi: 10.48550/arXiv.quant-ph/0412048, 10.1103/PhysRevA.72.022301
Raussendorf R. Quantum computation via translation-invariant operations on a chain of qubits. Physical Review A - Atomic, Molecular, and Optical Physics. 2005 Nov;72(5):052301. doi: 10.48550/arXiv.quant-ph/0505122, 10.1103/PhysRevA.72.052301

2003

Raussendorf R, Browne DE, Briegel HJ. Measurement-based quantum computation on cluster states. Physical Review A - Atomic, Molecular, and Optical Physics. 2003 Aug 25;68(2):32. doi: 10.48550/arXiv.quant-ph/0301052, 10.1103/PhysRevA.68.022312
Raußendorf R. Measurement-based quantum computation with cluster states. München: Ludwig–Maximilians–Universität München, 2003.
Raußendorf R, Briegel HJ. Method for Quantum Computing. WO0227653A3. 2003 Nov 20.

2002

Briegel HJ, Raußendorf R, Schenzle A. Optical Lattices as a Playground for Studying Multiparticle Entanglement. In Figger H, Zimmermann C, Meschede D, editors, Laser Physics at the Limits. Berlin: Springer Verlag. 2002. p. 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

2001

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 May 28;86(22):5188-5191. doi: 10.1103/PhysRevLett.86.5188

First 1 2 3 4 5

2005

Raussendorf R, Briegel HJ. Computational Model for the One-Way Quantum Computer: Concepts and Summary. In Beth T, Leuchs G, editors, Quantum Information Processing. Wiley-Blackwell. 2005. p. 28-43 doi: 10.48550/arXiv.quant-ph/0207183, 10.1002/3527606009.ch3
Raussendorf R, Bravyi S, Harrington J. Long-range quantum entanglement in noisy cluster states. Physical Review A - Atomic, Molecular, and Optical Physics. 2005 Jun 14;71(6):062313. doi: 10.48550/arXiv.quant-ph/0407255, 10.1103/PhysRevA.71.062313
Raussendorf R. Quantum cellular automaton for universal quantum computation. Physical Review A - Atomic, Molecular, and Optical Physics. 2005 Aug;72(2):022301. doi: 10.48550/arXiv.quant-ph/0412048, 10.1103/PhysRevA.72.022301
Raussendorf R. Quantum computation via translation-invariant operations on a chain of qubits. Physical Review A - Atomic, Molecular, and Optical Physics. 2005 Nov;72(5):052301. doi: 10.48550/arXiv.quant-ph/0505122, 10.1103/PhysRevA.72.052301

2003

Raussendorf R, Browne DE, Briegel HJ. Measurement-based quantum computation on cluster states. Physical Review A - Atomic, Molecular, and Optical Physics. 2003 Aug 25;68(2):32. doi: 10.48550/arXiv.quant-ph/0301052, 10.1103/PhysRevA.68.022312
Raußendorf R. Measurement-based quantum computation with cluster states. München: Ludwig–Maximilians–Universität München, 2003.
Raußendorf R, Briegel HJ. Method for Quantum Computing. WO0227653A3. 2003 Nov 20.

2002

Briegel HJ, Raußendorf R, Schenzle A. Optical Lattices as a Playground for Studying Multiparticle Entanglement. In Figger H, Zimmermann C, Meschede D, editors, Laser Physics at the Limits. Berlin: Springer Verlag. 2002. p. 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

2001

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 May 28;86(22):5188-5191. doi: 10.1103/PhysRevLett.86.5188

First 1 2 3 4 5

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