Abstract
We experimentally demonstrate an optimum nonlocal controlled-\(Z\) gate for optical continuous variables. It is achieved by using a bipartite entangled state, the two-mode cluster state, shared in advance, and one classical channel in each direction. This setup describes the minimum requirements for a nonlocal controlled-\(Z\) gate. In addition to this, the inseparability criterion for the output state of the gate is satisfied even if the entanglement of the resource cluster state is infinitely small, which shows the efficiency of our gate in the sense of resource requirements. Entanglement at the output is verified by both the van Loock-Furusawa criterion and the logarithmic negativity. Our gate can be incorporated into distributed quantum computers, where nonlocal gates have a role in handling cross-processor unitary operations.
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Ukai, R., Iwata, N., Shimokawa, Y., Armstrong, S.C., Politi, A., Yoshikawa, J., van Loock, P., Furusawa, A.: Demonstration of unconditional one-way quantum computations for continuous variables. Phys. Rev. Lett. 106, 240504 (2011)
Gottesman, D.: The Heisenberg representation of quantum computers, Group22. In: Corney, S.P., Delbourgo, R., Jarvis, P.D. (eds.) Proceedings of the XXII International Colloquium on Group Theoretical Methods in Physics, pp. 32–43. International Press, Cambridge, MA. arXiv:9807006 [quant-ph] (1999)
Zhou, X., Leung, D.W., Chuang, I.L.: Methodology for quantum logic gate construction. Phys. Rev. A 62, 052316 (2000)
Eisert, J., Jacobs, K., Papadopoulos, P., Plenio, B.: Optimal local implementation of nonlocal quantum gates. Phys. Rev. A 62, 052317 (2000)
Huang, Y.-F., Ren, X.-F., Zhang, Y.-S., Duan, L.M.G., Guo, G.C.: Experimental teleportation of a quantum Controlled-NOT gate. Phys. Rev. Lett. 93, 240501 (2004)
Filip, R., Marek, P., Andersen, U.L.: Measurement-induced continuous-variable quantum interactions. Phys. Rev. A 71, 042308 (2005)
Gao, W.-B., Goebel, A.M., Lu, C.-Y., Dai, H.-N., Wagenknecht, C., Zhang, Q., Zhao, B., Peng, C.-Z., Chen, Z.g-B., Chen, Y.-A., Pan, J.-W.: Teleportation-based realization of an optical quantum two-qubit entangling gate. Proc. Natl. Acad. Sci. USA 107, 20869 (2010)
Cirac, J.I., Ekert, A.K., Huelga, S.F., Machiavello, C.: Distributed quantum computation over noisy channels. Phys. Rev. A 59, 4249 (1999)
Lo, H.K.: Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)
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Ukai, R. (2015). Experimental Demonstration of Optimum Nonlocal Gate for Continuous Variables. In: Multi-Step Multi-Input One-Way Quantum Information Processing with Spatial and Temporal Modes of Light. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55019-8_8
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DOI: https://doi.org/10.1007/978-4-431-55019-8_8
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