Phonon arithmetic in a trapped ion system

Mark Um, Junhua Zhang, Dingshun Lv, Yao Lu, Shuoming An, Jing-Ning Zhang, Hyunchul Nha, M. S. Kim () and Kihwan Kim ()
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Mark Um: Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University
Junhua Zhang: Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University
Dingshun Lv: Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University
Yao Lu: Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University
Shuoming An: Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University
Jing-Ning Zhang: Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University
Hyunchul Nha: Korea Institute for Advanced Study
M. S. Kim: Korea Institute for Advanced Study
Kihwan Kim: Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University

Nature Communications, 2016, vol. 7, issue 1, 1-7

Abstract: Abstract Single-quantum level operations are important tools to manipulate a quantum state. Annihilation or creation of single particles translates a quantum state to another by adding or subtracting a particle, depending on how many are already in the given state. The operations are probabilistic and the success rate has yet been low in their experimental realization. Here we experimentally demonstrate (near) deterministic addition and subtraction of a bosonic particle, in particular a phonon of ionic motion in a harmonic potential. We realize the operations by coupling phonons to an auxiliary two-level system and applying transitionless adiabatic passage. We show handy repetition of the operations on various initial states and demonstrate by the reconstruction of the density matrices that the operations preserve coherences. We observe the transformation of a classical state to a highly non-classical one and a Gaussian state to a non-Gaussian one by applying a sequence of operations deterministically.

Date: 2016
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DOI: 10.1038/ncomms11410

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