TY - JOUR
T1 - Direct dialling of Haar random unitary matrices
AU - Russell, Nicholas J.
AU - Chakhmakhchyan, Levon
AU - O'Brien, Jeremy L.
AU - Laing, Anthony
PY - 2017/3/1
Y1 - 2017/3/1
N2 - 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.
AB - 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.
KW - boson sampling
KW - Haar random unitary matrices
KW - integrated optics
KW - optical circuits
UR - http://www.scopus.com/inward/record.url?scp=85015724477&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/aa60ed
DO - 10.1088/1367-2630/aa60ed
M3 - Article
AN - SCOPUS:85015724477
SN - 1367-2630
VL - 19
JO - New Journal of Physics
JF - New Journal of Physics
IS - 3
M1 - 033007
ER -