# Continuous variables quantum computation over the vibrational modes of a single trapped ion

@article{OrtizGutierrez2016ContinuousVQ, title={Continuous variables quantum computation over the vibrational modes of a single trapped ion}, author={Luis Ortiz-Guti'errez and Bruna Gabrielly and Luis F. Munoz and Kaina T. Pereira and Jefferson G. Filgueiras and Alessandro S. Villar}, journal={Optics Communications}, year={2016}, volume={397}, pages={166-174} }

## 16 Citations

### Determination of Multimode Motional Quantum States in a Trapped Ion System.

- PhysicsPhysical review letters
- 2022

Trapped atomic ions are a versatile platform for studying interactions between spins and bosons by coupling the internal states of the ions to their motion. Measurement of complex motional states…

### Linear mode-mixing of phonons with trapped ions

- Physics
- 2016

Abstract
We propose a method to manipulate the normal modes in a chain of trapped ions using only two lasers. Linear chains of trapped ions have proven experimentally to be highly controllable…

### Hybrid Quantum Computing with Conditional Beam Splitter Gate in Trapped Ion System.

- PhysicsPhysical review letters
- 2020

This work realizes a nonlinear gate for universal quantum computing that swaps the quantum states of two motional modes, depending on the ion's internal state, and demonstrates its applications for quantum state overlap measurements, single-shot parity measurement, and generation of NOON states.

### NOON States of Nine Quantized Vibrations in Two Radial Modes of a Trapped Ion.

- PhysicsPhysical review letters
- 2018

A deterministic method to generate and verify arbitrarily high NOON states of quantized vibrations (phonons) through the coupling to the internal state, which is generic and applicable to other photonic or phononic systems such as circuit QED systems or nanomechanical oscillators, which have Jaynes-Cummings-type of interactions.

### Unified framework to determine Gaussian states in continuous-variable systems

- Physics
- 2017

Gaussian states are the backbone of quantum information protocols with continuous variable systems, whose power relies fundamentally on the entanglement between the different modes. In the case of…

### Experiments with Trapped Ions and Ultrafast Laser Pulses

- Physics
- 2016

Title of dissertation: EXPERIMENTS WITH TRAPPED IONS AND ULTRAFAST LASER PULSES Kale Gifford Johnson Doctor of Philosophy 2016 Dissertation directed by: Professor Christopher R. Monroe Joint Quantum…

### Physical implementation of quantum nonparametric learning with trapped ions

- Computer Science, PhysicsPhysical review letters
- 2020

A quantum paradigm of nonparametric learning that offers an exponential speedup over the sample size is pointed out and a trained state for prediction can be obtained by entanglement spectrum transformation, using the quantum matrix toolbox.

### Negativity-Mutual Information conversion and coherence in two-coupled harmonic oscillators.

- Physics, Computer Science
- 2020

### Hybrid Methods in Quantum Information

- Physics
- 2017

This thesis explores the manipulation of a continuous-variable quantum system consisting of phonons in a linear chain of trapped ions where the discretized internal levels to mediate interactions are used to implement the acoustic equivalent of a beam splitter with modest consequences.

### Realizing quantum linear regression with auxiliary qumodes

- Physics, Computer SciencePhysical Review A
- 2019

An intriguing hybrid approach of quantum information processing for quantum linear regression is proposed, which utilizes both discrete and continuous quantum variables, in contrast to existing wisdoms based solely upon discrete qubits.

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