A general quantum advantage in quantum networks

Note: Meeting ID: 986 0583 3542
Speaker: Xiangyi Meng

When: July 17, 2020 (Fri), 11:00AM to 12:00PM (add to my calendar)

This event is part of the Departmental Seminars.

Establishing long-distance quantum correlations in large-scale quantum networks (QN) is a key and timely challenge for developing secure quantum communication systems. In this talk, I will explain how entanglement transmission in QN can be comprehended by classical percolation theory, which indicates the existence of a non-trivial threshold---in terms of the entanglement per link---for establishing sufficient entanglement between two arbitrarily distant nodes in QN. Interestingly, however, such a traditional comprehension is not complete. Indeed, a lower entanglement transmission threshold than what classical percolation theory predicts does exist, as demonstrated on specific network topologies, essentially exhibiting a “quantum advantage”. Naturally, we ask: Is such a “quantum advantage” general regardless of topology? Is there a unique minimum threshold for entanglement transmission which tells how much “quantum advantage” one can exploit at most? If so, can the threshold be governed by new statistics other than classical percolation? I will address these questions by proving that there is one (and only) minimum threshold for infinite-range entanglement transmission in QN by optimally establishing concurrence---a key measure of bipartite entanglement---between two distant nodes. A fundamentally new statistical theory, concurrence percolation theory (ConPT) is then introduced, which shows that the existence of ``quantum advantage'' is indeed general on any QN.

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