Arbitrarily large continuous-variable cluster states from a single quantum nondemolition gate.

We present a compact experimental design for producing an arbitrarily large optical continuous-variable cluster state using just one single-mode vacuum squeezer and one quantum nondemolition gate. Generating the cluster state and computing with it happen simultaneously: more entangled modes become available as previous modes are measured, thereby making finite the requirements for coherence and stability even as the computation length increases indefinitely.

[1]  H. Yonezawa,et al.  Continuous-variable quantum information processing with squeezed states of light , 2008, 2008 International Nano-Optoelectronics Workshop.

[2]  W. Marsden.  I and J , 2012 .

[3]  Nicolas C. Menicucci,et al.  The optical frequency comb as a one-way quantum computer , 2008, 0811.2799.

[4]  P. Loock,et al.  Building Gaussian cluster states by linear optics , 2006, quant-ph/0610119.

[5]  B. Yurke.  Optical back-action-evading amplifiers , 1985 .

[6]  H. Briegel,et al.  Persistent entanglement in arrays of interacting particles. , 2000, Physical review letters.

[7]  W. Munro,et al.  Architectural design for a topological cluster state quantum computer , 2008, 0808.1782.

[8]  Olivier Pfister,et al.  Broadband amplitude squeezing in a periodically poled KTiOPO4 waveguide. , 2009, Optics letters.

[9]  Akira Furusawa,et al.  Demonstration of a quantum nondemolition sum gate. , 2008, Physical review letters.

[10]  L-M Duan,et al.  Efficient quantum computation with probabilistic quantum gates. , 2005, Physical review letters.

[11]  N. C. Menicucci,et al.  Quantum Computing with Continuous-Variable Clusters , 2009, 0903.3233.

[12]  Olivier Pfister,et al.  One-way quantum computing in the optical frequency comb. , 2008, Physical review letters.

[13]  S. Braunstein.  Squeezing as an irreducible resource , 1999, quant-ph/9904002.

[14]  Timothy C. Ralph,et al.  A Guide to Experiments in Quantum Optics , 1998 .

[15]  Observation of triply coincident nonlinearities in periodically poled KTiOPO4. , 2005, Optics letters.

[16]  M. Nielsen.  Cluster-state quantum computation , 2005, quant-ph/0504097.

[17]  T. Rudolph,et al.  Resource-efficient linear optical quantum computation. , 2004, Physical review letters.

[18]  S. Braunstein,et al.  Quantum Information with Continuous Variables , 2004, quant-ph/0410100.

[19]  A. Furusawa,et al.  Experimental generation of four-mode continuous-variable cluster states , 2008, 2008 International Nano-Optoelectronics Workshop.

[20]  Xiaolong Su,et al.  Experimental preparation of quadripartite cluster and Greenberger-Horne-Zeilinger entangled states for continuous variables. , 2006, Physical review letters.

[21]  S. Braunstein,et al.  Continuous-variable Gaussian analog of cluster states , 2006 .

[22]  T. Ralph,et al.  Universal quantum computation with continuous-variable cluster states. , 2006, Physical review letters.

[23]  M. Nielsen.  Optical quantum computation using cluster States. , 2004, Physical review letters.

[24]  R Raussendorf,et al.  A one-way quantum computer. , 2001, Physical review letters.