Direct dialling of Haar random unitary matrices

Nick J Russell, Levon Chakhmakhchyan*, Jeremy L. O'Brien, Anthony Laing

*Corresponding author for this work

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

59 Citations (Scopus)
354 Downloads (Pure)


Random unitary matrices find a number of applications in quantum information science, and are central to the recently defined boson sampling algorithm for photons in linear optics. We describe an operationally simple method to directly implement Haar random unitary matrices in optical circuits, with no requirement for prior or explicit matrix calculations. Our physically motivated and compact representation directly maps independent probability density functions for parameters in Haar random unitary matrices, to optical circuit components. We go on to extend the results to the case of random unitaries for qubits.

Original languageEnglish
Article number033007
Number of pages9
JournalNew Journal of Physics
Issue number3
Publication statusPublished - 1 Mar 2017

Structured keywords

  • Bristol Quantum Information Institute
  • QETLabs


  • boson sampling
  • Haar random unitary matrices
  • integrated optics
  • optical circuits


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