Computational speed-up with a single qudit

Autor(es)

Gedik, Z. ^[1] ; Silva, I. A. ^[2] ; Cakmak, B. ^[1] ; Karpat, G. ^{[3, 4]} ; Vidoto, E. L. G. ^[2] ; Soares-Pinto, D. O. ^[2] ; deAzevedo, E. R. ^[2] ; Fanchini, F. F. ^[3]

Afiliação do(s) autor(es)

^[1] Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul - Turkey

^[2] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Paulo - Brazil

^[3] UNESP Univ Estadual Paulista, Fac Ciencias, BR-17033360 Sao Paulo - Brazil

^[4] Univ Turku, Dept Phys & Astron, Turku Ctr Quantum Phys, FIN-20014 Turku - Finland

• Tipo de documento: Artigo Científico
• Fonte: SCIENTIFIC REPORTS; v. 5, OCT 8 2015.
• Citações Web of Science: 28

Resumo

Quantum algorithms are known for providing more efficient solutions to certain computational tasks than any corresponding classical algorithm. Here we show that a single qudit is sufficient to implement an oracle based quantum algorithm, which can solve a black-box problem faster than any classical algorithm. For 2d permutation functions defined on a set of d elements, deciding whether a given permutation is even or odd, requires evaluation of the function for at least two elements. We demonstrate that a quantum circuit with a single qudit can determine the parity of the permutation with only one evaluation of the function. Our algorithm provides an example for quantum computation without entanglement since it makes use of the pure state of a qudit. We also present an experimental realization of the proposed quantum algorithm with a quadrupolar nuclear magnetic resonance using a single four-level quantum system, i.e., a ququart. (AU)

• Processo FAPESP: 14/20941-7 - Não-Markovianidade em redes quânticas
• Beneficiário: Goktug Karpat
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado
• Processo FAPESP: 14/21792-5 - Proteção de algoritmos quânticos e portas lógicas em sistemas quânticos abertos
• Beneficiário: Baris Cakmak
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 12/50464-0 - Estudo das correlações quânticas em sistemas quânticos abertos
• Beneficiário: Felipe Fernandes Fanchini
• Modalidade de apoio: Auxílio à Pesquisa - Regular