Experimental quantum fast Carlo Di Franco hitting on hexagonal - - PowerPoint PPT Presentation

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Experimental quantum fast Carlo Di Franco hitting on hexagonal - - PowerPoint PPT Presentation

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Experimental quantum fast Carlo Di Franco hitting on hexagonal graphs 9th International Conference on Quantum Simulation and Quantum Walks CIRM, Marseille, France 21st January 2020 Outline A feasible experimental platform for implementing

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Experimental quantum fast hitting on hexagonal graphs

Carlo Di Franco

9th International Conference on Quantum Simulation and Quantum Walks CIRM, Marseille, France 21st January 2020

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Outline

❖ A feasible experimental platform for

implementing quantum protocols

❖ Standard glued tree problem ❖ Hexagonal graph and its realisation ❖ Experimental results ❖ Summary

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Outline

❖ A feasible experimental platform for

implementing quantum protocols

❖ Standard glued tree problem ❖ Hexagonal graph and its realisation ❖ Experimental results ❖ Summary

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Experimental platform

Bulk optics experiments

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Experimental platform

Bulk optics experiments Integrated waveguide circuits

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Experimental platform

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Experimental platform

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Experimental platform

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Experimental platform

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Experimental platform

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Experimental platform They can print 3D chips !

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Experimental platform They can print 3D chips ! 2D graph + time

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Experimental platform They can print 3D chips ! 2D graph + time Question: How to exploit it ?

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Outline

❖ A feasible experimental platform for

implementing quantum protocols

❖ Standard glued tree problem ❖ Hexagonal graph and its realisation ❖ Experimental results ❖ Summary

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Glued tree

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Glued tree

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Glued tree

Entry Exit

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Glued tree

Entry Exit

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Glued tree

Classical Exponential hitting time

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Glued tree

J J J J J J J J

Quantum

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Glued tree

Classical Exponential hitting time Quantum Linear hitting time

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Glued tree

Classical Exponential hitting time Quantum Linear hitting time Reason: coherent evolution of the quantum walk

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Outline

❖ A feasible experimental platform for

implementing quantum protocols

❖ Standard glued tree problem ❖ Hexagonal graph and its realisation ❖ Experimental results ❖ Summary

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Experimental implementation

Technical constraints:

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Experimental implementation

Number of nodes (waveguides) grows exponentially with the number of layers Technical constraints:

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Experimental implementation

Hopping term depends on the distance between the waveguides Number of nodes (waveguides) grows exponentially with the number of layers Technical constraints:

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Experimental implementation

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Experimental implementation

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Outline

❖ A feasible experimental platform for

implementing quantum protocols

❖ Standard glued tree problem ❖ Hexagonal graph and its realisation ❖ Experimental results ❖ Summary

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Experimental results

(a) 20.7mm (b) 22.7mm, (c) 24.7mm (d) 26.7mm (e) 28.7mm

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Experimental results

(a) 20.7mm (b) 22.7mm, (c) 24.7mm (d) 26.7mm (e) 28.7mm Evolution length (mm) Hitting efficiency

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Experimental results

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Experimental results

(a) 3 layers: 30.4mm, (b)4 layers: 43.7mm, (c) 5 layers: 48.4mm, (d)6 layers: 61.8mm, (e) 7 layers: 70.8mm, (f) 8 layers: 85.8mm.

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Experimental results

Up to 160 nodes !

(a) 3 layers: 30.4mm, (b)4 layers: 43.7mm, (c) 5 layers: 48.4mm, (d)6 layers: 61.8mm, (e) 7 layers: 70.8mm, (f) 8 layers: 85.8mm.

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Experimental results

Number of layers Optimal length (mm)

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Experimental results

Optimal length (mm) Number of layers

Quantum linear hitting time !

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Outline

❖ A feasible experimental platform for

implementing quantum protocols

❖ Standard glued tree problem ❖ Hexagonal graph and its realisation ❖ Experimental results ❖ Summary

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Summary

❖ We experimentally demonstrated that the quantum

hitting time grows linearly in our hexagonal structure

❖ We have a coherent evolution of a quantum walk on a

graph with up to 160 nodes

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Thanks for your attention

  • H. Tang, C. Di Franco, et al., Nature Photonics 12, 754 (2018)