2009

Quantum Computing with Continuous-Variable Clusters

Gu, Mile, Weedbrook, Christian, Menicucci, Nicolas C. et al.

Understand

Continuous-variable cluster states offer a potentially promising method of implementing a quantum computer.

This paper extends and further refines theoretical foundations and protocols for experimental implementation.
We give a cluster-state implementation of the cubic phase gate through photon detection, which, together with homodyne detection, facilitates universal quantum computation.
In addition, we characterize the offline squeezed resources required to generate an arbitrary graph state through passive linear optics.

Built on

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Similar

M. Hein, J. Eisert, and H. J. Briegel, “Multiparty entanglement in graph states,” Phys. Rev. A 69
2004
Cited alongside, same era.
S. L. Braunstein and P. van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77
2005
Cited alongside, same era.
C. C. Gerry and P. L. Knight, Introductory Quantum Optics
2005
Cited alongside, same era.
R. Filip, P. Marek, and U. L. Andersen, “Measurement-induced continuous-variable quantum interactions,” Phys. Rev. A 71
2005
Cited alongside, same era.
D. E. Browne and T. Rudolph, “Resource-Efficient Linear Optical Quantum Computation,” Phys. Rev. Lett. 95
2005
Cited alongside, same era.
S. L. Braunstein, “Squeezing as an irreducible resource,” Phys. Rev. A 71
2005
Cited alongside, same era.
J. Zhang and S. L. Braunstein, “Continuous-variable Gaussian analog of cluster states,” Phys. Rev. A 73
2006
Cited alongside, same era.
N. C. Menicucci, P. van Loock, M. Gu, C. Weedbrook, T. C. Ralph, and M. A. Nielsen, “Universal Quantum Computation with Continuous-Variable Cluster States,” Phys. Rev. Lett. 97
2006
Cited alongside, same era.
M. Van den Nest, Akimasa Miyake, W. Dür, and H. J. Briegel, “Universal resources for measurement-based quantum computation,” Phys. Rev. Lett. 97
2006
Cited alongside, same era.
G. Adesso, “Generic Entanglement and Standard Form for N N -Mode Pure Gaussian States,” Phys. Rev. Lett. 97
2006
Cited alongside, same era.
P. van Loock, C. Weedbrook, and M. Gu, “Building Gaussian cluster states by linear optics,” Phys. Rev. A 76
2007
Cited alongside, same era.
N. C. Menicucci, S. T. Flammia, H. Zaidi, and O. Pfister, “Ultracompact generation of continuous-variable cluster states,” Phys. Rev. A 76
2007
Cited alongside, same era.

Then

D. Gross and J. Eisert, “Novel schemes for measurement-based quantum computation,” Phys. Rev. Lett. 98
2007
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D. Gross, J. Eisert, N. Schuch, and D. Perez-Garcia, “Measurement-based quantum computation beyond the one-way model,” Phys. Rev. A 76
2007
Later among the works it cites.
M. Van den Nest, W. Dür, A. Miyake, and H. J. Briegel, “Fundamentals of universality in one-way quantum computation,” New J. Phys. 9
2007
Later among the works it cites.
P. van Loock, “Examples of Gaussian cluster computation,” J. Opt. Soc. Am. B 24
2007
Later among the works it cites.
N. C. Menicucci, S. T. Flammia, and O. Pfister, “One-Way Quantum Computation in the Optical Frequency Comb,” Phys. Rev. Lett. 101
2008
Later among the works it cites.
S. T. Flammia, N. C. Menicucci, and O. Pfister, “The Optical Frequency Comb as a One-Way Quantum Computer,” arXiv.org:0811.2799 [quant-ph] (2008)
2008
Later among the works it cites.
H. Yonezawa and A. Furusawa, “Continuous-variable quantum information processing with squeezed states of light,” arXiv:0811.1092v2 [quant-ph] (2008)
Original
2008
Later among the works it cites.
M. Yukawa, R. Ukai, P. van Loock, and A. Furusawa, “Experimental generation of four-mode continuous-variable cluster states,” Phys. Rev. A 78
2008
Later among the works it cites.
H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Gossler, K. Danzmann, and R. Schnabel, “Observation of Squeezed Light with 10-dB Quantum-Noise Reduction,” Phys. Rev. Lett. 100
2008
Later among the works it cites.
J. Zhang, “Graphical description of local Gaussian operations for continuous-variable weighted graph states,” Phys. Rev. A 78
2008
Later among the works it cites.
A. Broadbent, J. Fitzsimons, and E. Kashefi, “Universal blind quantum computation,” arXiv.org:0807.4154 [quant-ph] (2008)
2008
Later among the works it cites.
J. Yoshikawa, Y. Miwa, A. Huck, U. L. Andersen, P. van Loock, and A. Furusawa, “Demonstration of a quantum nondemolition sum gate,” Phys. Rev. Lett. 101
2008
Later among the works it cites.
J. Zhang, G. Adesso, C. Xie, and K. Peng, “Quantum Teamwork for Unconditional Multiparty Communication,” arXiv.org:0901.1488 [quant-ph] (2009)
2009
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