Quantum computation and simulation with vibrational modes of trapped ions

doi:10.1088/1674-1056/ac01e3

Abstract Vibrational degrees of freedom in trapped-ion systems have recently been gaining attention as a quantum resource, beyond the role as a mediator for entangling quantum operations on internal degrees of freedom, because of the large available Hilbert space. The vibrational modes can be represented as quantum harmonic oscillators and thus offer a Hilbert space with infinite dimensions. Here we review recent theoretical and experimental progress in the coherent manipulation of the vibrational modes, including bosonic encoding schemes in quantum information, reliable and efficient measurement techniques, and quantum operations that allow various quantum simulations and quantum computation algorithms. We describe experiments using the vibrational modes, including the preparation of non-classical states, molecular vibronic sampling, and applications in quantum thermodynamics. We finally discuss the potential prospects and challenges of trapped-ion vibrational-mode quantum information processing.

Keywords: quantum computation quantum simulation trapped ions vibrational modes

Received: 13 January 2021
Revised: 07 April 2021
Accepted manuscript online: 17 May 2021

PACS:	03.67.-a	(Quantum information)
	03.67.Lx	(Quantum computation architectures and implementations)
	37.10.Ty	(Ion trapping)
	63.20.-e	(Phonons in crystal lattices)

Corresponding Authors: Wentao Chen, Jaren Gan, Jing-Ning Zhang, Dzmitry Matuskevich, Kihwan Kim
E-mail: chen-wt17@mails.tsinghua.edu.cn;jarengan@quantumlah.org;zhangjn@baqis.ac.cn;phymd@nus.edu.sg;kimkihwan@mail.tsinghua.edu.cn

Cite this article:

Wentao Chen(陈文涛), Jaren Gan, Jing-Ning Zhang(张静宁), Dzmitry Matuskevich, and Kihwan Kim(金奇奂) Quantum computation and simulation with vibrational modes of trapped ions 2021 Chin. Phys. B 30 060311

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