Phonon arithmetic in a trapped ion system.
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.
Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, P. R. China.
Mark
M
Um
Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, P. R. China.
Junhua
J
Zhang
Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, P. R. China.
Dingshun
D
Lv
Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, P. R. China.
Yao
Y
Lu
Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, P. R. China.
Shuoming
S
An
Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, P. R. China.
Jing-Ning
JN
Zhang
Korea Institute for Advanced Study, Seoul 130-722, Korea.|Texas A&M University at Qatar, Education City, P.O. Box 23874, Doha, Qatar.
Hyunchul
H
Nha
Korea Institute for Advanced Study, Seoul 130-722, Korea.|Blackett Laboratory, QOLS, Physics Department, Imperial College London, Exhibition Road, London SW7 2AZ, UK.
M S
MS
Kim
Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, P. R. China.
Kihwan
http://orcid.org/0000-0003-0257-1707
K
Kim