Experimental demonstration of the Deutsch-Jozsa algorithm in homonuclear multispin systems

Journal Article · Sat Oct 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.042312· OSTI ID:22080352

Zhen, Wu; Jun, Luo; Mang, Feng ^[1]; Jun, Li; Wenqiang, Zheng; Xinhua, Peng ^[2]

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1. State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071 (China)
2. Hefei National Laboratory for Physics Sciences at Microscale, Department of Modern Physics, University of Science and Technology of China, Hefei 230026 (China)

Despite early experimental tests of the Deutsch-Jozsa (DJ) algorithm, there have been only a very few nontrivial balanced functions tested for register number n>3. In this paper, we experimentally demonstrate the DJ algorithm in four- and five-qubit homonuclear spin systems by the nuclear-magnetic-resonance technique, by which we encode the one function evaluation into a long shaped pulse with the application of the gradient ascent algorithm. Our work, dramatically reducing the accumulated errors due to gate imperfections and relaxation, demonstrates a better implementation of the DJ algorithm.

• OSTI ID: 22080352
• Journal Information: Physical Review. A, Vol. 84, Issue 4; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ALGORITHMS
ERRORS
EVALUATION
NUCLEAR MAGNETIC RESONANCE
PULSES
QUBITS
SPIN