Abstract
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.
Highlights
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We describe an this work must maintain attribution to the operationally simple method to directly implement Haar random unitary matrices in optical circuits, author(s) and the title of with no requirement for prior or explicit matrix calculations
We extend the result to systems of qubits, by deriving a mapping between a linear-optical circuit on m = 2n modes and a circuit operating on n qubits
Summary
This content has been downloaded from IOPscience. Please scroll down to see the full text. 2017 New J. We describe an this work must maintain attribution to the operationally simple method to directly implement Haar random unitary matrices in optical circuits, author(s) and the title of with no requirement for prior or explicit matrix calculations.
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