Deterministic quantum computation with one photonic qubit

M. Hor-Meyll, D. S. Tasca, S. P. Walborn, P. H. Souto Ribeiro, M. M. Santos, and E. I. Duzzioni
Phys. Rev. A 92, 012337 – Published 31 July 2015

Abstract

We show that deterministic quantum computing with one qubit (DQC1) can be experimentally implemented with a spatial light modulator, using the polarization and the transverse spatial degrees of freedom of light. The scheme allows the computation of the trace of a high-dimension matrix, being limited by the resolution of the modulator panel and the technical imperfections. In order to illustrate the method, we compute the normalized trace of unitary matrices and implement the Deutsch-Jozsa algorithm. The largest matrix that can be manipulated with our setup is 1080×1920, which is able to represent a system with approximately 21 qubits.

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  • Received 6 March 2015

DOI:https://doi.org/10.1103/PhysRevA.92.012337

©2015 American Physical Society

Authors & Affiliations

M. Hor-Meyll, D. S. Tasca, S. P. Walborn, and P. H. Souto Ribeiro*

  • Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, Rio de Janeiro, Rio de Janeiro, 21941-972, Brazil

M. M. Santos

  • Instituto de Física, Universidade Federal de Uberlândia, Caixa Postal 593, 38400-902, Uberlândia, Minas Gerais, Brazil

E. I. Duzzioni

  • Instituto de Física, Universidade Federal de Uberlândia, Caixa Postal 593, 38400-902, Uberlândia, Minas Gerais, Brazil and Departamento de Física, Universidade Federal de Santa Catarina, Caixa Postal 476, 88040-900, Florianpolis, Santa Catarina Brazil

  • *Present address: Departamento de Física, Universidade Federal de Santa Catarina, Caixa Postal 476, 88040-900, Florianpolis, SC Brazil; phsr@if.ufrj.br
  • Present address: Instituto de Ciência, Engenharia e Tecnologia, Universidade Federal dos Vales do Jequitinhonha e Mucuri, Rua do Cruzeiro 01, Jardim São Paulo, 39803-371, Teófilo Otoni, Minas Gerais, Brazil.

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Issue

Vol. 92, Iss. 1 — July 2015

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