2019
DOI: 10.1038/s42005-019-0147-3
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Abstract: RESULTS Ultimate limits of repeater chainsConsider Alice a and Bob b at the two ends of a linear chain of N quantum repeaters, labeled by r 1 , . . . , r N . Each point has a local register of quantum systems which may be augmented with incoming systems or de-

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Cited by 242 publications
(356 citation statements)
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“…In order to generalize these results to teleportation‐covariant networks, we first introduce some notions from graph theory . Let us describe an arbitrary quantum network scriptN as an undirected graph with nodes or points P and edges E .…”
Section: Preliminary Notionsmentioning
confidence: 99%
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“…In order to generalize these results to teleportation‐covariant networks, we first introduce some notions from graph theory . Let us describe an arbitrary quantum network scriptN as an undirected graph with nodes or points P and edges E .…”
Section: Preliminary Notionsmentioning
confidence: 99%
“…If the communication is done via a single route, we can obtain an upper bound on the quantum capacity using the single‐edge flow of REE through a network. For a cut C:A|B with cutset trueC and Choi matrix resource state σscriptExy for edge Exy, this flow is defined by ERfalse(Cfalse):=maxfalse(x,yfalse)CERfalse(σscriptExyfalse)It can then be shown that the single‐path (two‐way assisted) quantum capacity of the network is upper‐bounded as Q2false(scriptNfalse)minC:A|BERfalse(Cfalse)…”
Section: Preliminary Notionsmentioning
confidence: 99%
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“…Free‐space optical (FSO) quantum links provide a tool to implement quantum communications via wireless telecommunication network infrastructures. As an integrated component of future quantum Internet and long‐distance quantum communications, the FSO quantum channels could play a significant role in the global‐scale practical implementations of quantum communications and quantum key distribution (QKD) . QKD systems allow us to utilize the fundamentals of quantum mechanics to realize unconditionally secure communications for legal users.…”
Section: Introductionmentioning
confidence: 99%
“…As an integrated component of future quantum Internet 11-16 and long-distance quantum communications, 11,17-29 the FSO quantum channels could play a significant role in the global-scale practical implementations of quantum communications and quantum key distribution (QKD). [1][2][3][30][31][32][33][34][35][36][44][45][46][47][48][49] QKD systems allow us to utilize the fundamentals of quantum mechanics to realize unconditionally secure communications for legal users. QKD protocols can be decomposed into discrete-variable (DV) and continuous-variable (CV) counterparts.…”
mentioning
confidence: 99%