# State-dependent motional squeezing of a trapped ion: Proposed method and applications

@article{Drechsler2019StatedependentMS, title={State-dependent motional squeezing of a trapped ion: Proposed method and applications}, author={Mart{\'i}n Drechsler and M. Bel{\'e}n Far{\'i}as and Nahuel Freitas and Christian T. Schmiegelow and Juan Pablo Paz}, journal={Physical Review A}, year={2019}, volume={101}, pages={052331} }

We show that the motion of a cold trapped ion can be squeezed by modulating the intensity of a phase-stable optical lattice placed inside the trap. The method we propose is reversible (unitary) and state selective: it effectively implements a controlled-squeeze gate. This resource could be useful for quantum information processing with continuous variables. We show that the controlled-squeeze gate can prepare coherent superpositions of states which are squeezed along complementary quadratures…

## 3 Citations

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### Optical estimation of unitary Gaussian processes without phase reference using Fock states

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Since a general Gaussian process is phase-sensitive, a stable phase reference is required to take advantage of this feature. When the reference is missing, either due to the volatile nature of the…

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