Physical-depth architectural requirements for generating universal photonic cluster states

Sam Morley-Short, Sara Bartolucci, Mercedes Gimeno-Segovia, Peter Shadbolt, Hugo Cable, Terry Rudolph

Research output: Contribution to journalArticle (Academic Journal)peer-review

16 Citations (Scopus)
322 Downloads (Pure)


Most leading proposals for linear-optical quantum computing (LOQC) use cluster states, which act as a universal resource for measurement-based (one-way) quantum computation (MBQC). In ballistic approaches to LOQC, cluster states are generated passively from small entangled resource states using so-called fusion operations. Results from percolation theory have previously been used to argue that universal cluster states can be generated in the ballistic approach using schemes which exceed the critical threshold for percolation, but these results consider cluster states with unbounded size. Here we consider how successful percolation can be maintained using a physical architecture with fixed physical depth, assuming that the cluster state is continuously generated and measured, and therefore that only a finite portion of it is visible at any one point in time. We show that universal LOQC can be implemented using a constant-size device with modest physical depth, and that percolation can be exploited using simple pathfinding strategies without the need for high-complexity algorithms.
Original languageEnglish
Article number015005
Number of pages13
JournalQuantum Science and Technology
Issue number1
Early online date15 Nov 2017
Publication statusPublished - Jan 2018

Structured keywords

  • QETLabs


  • Quantum Computation
  • Linear Optics
  • Quantum computing
  • Percolation theory
  • Quantum Engineering


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