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Experimental Simulation of Bosonic Creation and Annihilation Operators in a Quantum Processor

Authors :
Kong, Xiangyu
Wei, Shijie
Wen, Jingwei
Long, Guilu
Publication Year :
2018
Publisher :
arXiv, 2018.

Abstract

The ability of implementing quantum operations plays fundamental role in manipulating quantum systems. Creation and annihilation operators which transform a quantum state to another by adding or subtracting a particle are crucial of constructing quantum description of many body quantum theory and quantum field theory. Here we present a quantum algorithm to perform them by the linear combination of unitary operations associated with a two-qubit ancillary system. Our method can realize creation and annihilation operators simultaneously in the subspace of the whole system. A prototypical experiment was performed with a 4-qubit Nuclear Magnetic Resonance processor, demonstrating the algorithm via full state tomography. The creation and annihilation operators are realized with a fidelity all above 96% and a probability about 50%. Moreover, our method can be employed to quantum random walk in an arbitrary initial state. With the prosperous development of quantum computing, our work provides a quantum control technology to implement non-unitary evolution in near-term quantum computer.<br />Comment: 7 pages, 8 figures

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....55bdbdab44047451ac3acae6998cb462
Full Text :
https://doi.org/10.48550/arxiv.1809.03352