title: Experimental realization of a one-way quantum computer algorithm solving Simon's problem.
abstract: We report an experimental demonstration of a one-way implementation of a quantum algorithm solving Simon's problem-a black-box period-finding problem that has an exponential gap between the classical and quantum runtime. Using an all-optical setup and modifying the bases of single-qubit measurements on a five-qubit cluster state, key representative functions of the logical two-qubit version's black box can be queried and solved. To the best of our knowledge, this work represents the first experimental realization of the quantum algorithm solving Simon's problem. The experimental results are in excellent agreement with the theoretical model, demonstrating the successful performance of the algorithm. With a view to scaling up to larger numbers of qubits, we analyze the resource requirements for an n-qubit version. This work helps highlight how one-way quantum computing provides a practical route to experimentally investigating the quantum-classical gap in the query complexity model.
authors.affiliation: University of KwaZulu-Natal, School of Chemistry and Physics, Durban 4001, South Africa and National Institute for Theoretical Physics, University of KwaZulu-Natal, Durban 4001, South Africa.
authors.forename: M S
authors.initials: MS
authors.lastname: Tame
authors.affiliation: Photonics Group, Department of Electrical and Electronic Engineering, University of Bristol, Merchant Venturers Building, Woodland Road, Bristol BS8 1UB, United Kingdom.
authors.forename: B A
authors.initials: BA
authors.lastname: Bell
authors.affiliation: Quantum Optics and Laser Science Group, Imperial College London, Blackett Laboratory, London SW7 2AZ, United Kingdom.
authors.forename: C
authors.initials: C
authors.lastname: Di Franco
authors.affiliation: CPPM, Department of Physics, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom.
authors.forename: W J
authors.initials: WJ
authors.lastname: Wadsworth
authors.affiliation: Photonics Group, Department of Electrical and Electronic Engineering, University of Bristol, Merchant Venturers Building, Woodland Road, Bristol BS8 1UB, United Kingdom.
authors.forename: J G
authors.initials: JG
authors.lastname: Rarity