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Abstract
Quantum communication complexity explores the minimum amount of communication required to achieve certain tasks using quantum states. One representative example is quantum fingerprinting, in which the minimum amount of communication could be exponentially smaller than the classical fingerprinting. Here, we propose a quantum fingerprinting protocol where coherent states and channel multiplexing are used, with simultaneous detection of signals carried by multiple channels. Compared with an existing coherent quantum fingerprinting protocol, our protocol could consistently reduce communication time and the amount of communication by orders of magnitude by increasing the number of channels. Our proposed protocol can even beat the classical limit without using superconducting-nanowire single photon detectors. We also report a proof-of-concept experimental demonstration with six wavelength channels to validate the advantage of our protocol in the amount of communication. The experimental results clearly prove that our protocol not only surpasses the best-known classical protocol, but also remarkably outperforms the existing coherent quantum fingerprinting protocol.
Quantum fingerprinting could allow an exponential quantum advantage in a cryptographic protocol, but current schemes are still difficult to scale. Here, the authors exploit wavelength division multiplexing to increase the channel capacity and reduce the communication time without the need for demultiplexing.
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1 University of Toronto, Center for Quantum Information and Quantum Control, Dept. of Physics, Toronto, Canada (GRID:grid.17063.33) (ISNI:0000 0001 2157 2938)
2 University of Science and Technology of China, Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, Hefei, China (GRID:grid.59053.3a) (ISNI:0000000121679639)
3 University of Toronto, Center for Quantum Information and Quantum Control, Dept. of Physics, Toronto, Canada (GRID:grid.17063.33) (ISNI:0000 0001 2157 2938); University of Toronto, Center for Quantum Information and Quantum Control, Dept. of Electrical & Computer Engineering, Toronto, Canada (GRID:grid.17063.33) (ISNI:0000 0001 2157 2938); University of Hong Kong, Department of Physics, Hong Kong, China (GRID:grid.194645.b) (ISNI:0000000121742757)
4 University of Toronto, Center for Quantum Information and Quantum Control, Dept. of Electrical & Computer Engineering, Toronto, Canada (GRID:grid.17063.33) (ISNI:0000 0001 2157 2938)