# Tailoring Non-Gaussian Continuous-Variable Graph States.

@article{Walschaers2018TailoringNC, title={Tailoring Non-Gaussian Continuous-Variable Graph States.}, author={Mattia Walschaers and Supratik Sarkar and Valentina Parigi and Nicolas Treps}, journal={Physical review letters}, year={2018}, volume={121 22}, pages={ 220501 } }

Graph states are the backbone of measurement-based continuous-variable quantum computation. However, experimental realizations of these states induce Gaussian measurement statistics for the field quadratures, which poses a barrier to obtain a genuine quantum advantage. In this Letter, we propose mode-selective photon addition and subtraction as viable and experimentally feasible pathways to introduce non-Gaussian features in such continuous-variable graph states. In particular, we investigate…

## 25 Citations

### Quantum hypergraph states in continuous variables

- Physics, Computer SciencePhysical Review A
- 2019

This work defines a new non-Gaussian class of states based on hypergraphs which satisfy the requirements of the Lloyd-Braunstein criteria while restricted to a Gaussian measurement strategy.

### Non-Gaussian Continuous-Variable Graph States

- Computer Science2019 Conference on Lasers and Electro-Optics (CLEO)
- 2019

Mode-tunable photon subtraction is a viable method to introduce non-Gaussian features in continuous-variable graph states. Non-Gaussian properties are shown to spread up to next-to-nearest neighbours…

### Wave-function engineering via conditional quantum teleportation with a non-Gaussian entanglement resource

- Physics
- 2021

We propose and analyze a setup to tailor the wave functions of the quantum states. Our setup is based on the quantum teleportation circuit, but instead of the usual two-mode squeezed state, two-mode…

### Measurement-based generation and preservation of cat and grid states within a continuous-variable cluster state

- Computer ScienceQuantum
- 2022

We present an algorithm to reliably generate various quantum states critical to quantum error correction and universal continuous-variable (CV) quantum computing, such as Schrödinger cat states and…

### Non-Gaussian quantum states of a multimode light field

- Physics, Computer ScienceNature Physics
- 2019

The generation of non-Gaussian quantum states of a multimode field is reported through a mode-selective photon-subtraction scheme and demonstrates large-scale non- Gaussianity with great flexibility along with an ensured compatibility with quantum information protocols.

### Efficient representation of Gaussian states for multimode non-Gaussian quantum state engineering via subtraction of arbitrary number of photons

- Physics, Computer SciencePhysical Review A
- 2019

A complete description of a multi-mode bosonic quantum state in the coherent-state basis and a method to prepare a two-mode coherent-cat-basis Bell state with fidelity close to unity and success probability that is fundamentally higher than that of a well-known scheme.

### Conversion of Gaussian states to non-Gaussian states using photon-number-resolving detectors

- Computer Science, PhysicsPhysical Review A
- 2019

The proposed framework provides a method to search for the Gaussian circuit and measurement pattern that produces a target non-Gaussian state with optimal fidelity and success probability and has potential far-reaching implications for the generation of bosonic error-correction codes that require non- Gaussian states, resource states for the implementation of non-gaussian gates needed for universal quantum computation, among other applications requiring non-GAussianity.

### Practical Framework for Conditional Non-Gaussian Quantum State Preparation

- Physics
- 2020

We develop a general formalism, based on the Wigner function representation of continuous-variable quantum states, to describe the action of an arbitrary conditional operation on a multimode Gaussian…

### Emergent complex quantum networks in continuous-variables non-Gaussian states

- Physics
- 2020

Mattia Walschaers, ∗ Nicolas Treps, Bhuvanesh Sundar, Lincoln D. Carr, and Valentina Parigi † Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, 4…

### Can we control the amount of useful nonclassicality in a photon added hypergeometric state?

- PhysicsJournal of Optics
- 2021

Non-Gaussianity inducing operations are studied in the recent past from different perspectives. Here, we study the role of photon addition, a non-Gaussianity inducing operation, in the enhancement of…

## References

SHOWING 1-10 OF 66 REFERENCES

### Quantum Computing with Continuous-Variable Clusters

- Computer Science
- 2009

It is proved that there are universal states for which the offline squeezing per mode does not increase with the size of the cluster and the existence of universal continuous-variable resource states is found.

### Polynomial approximation of non-Gaussian unitaries by counting one photon at a time

- Computer Science
- 2017

Two methods to apply a polynomial approximation of any unitary operator diagonal in the amplitude quadrature representation, including non-Gaussian operators, to an unknown input state are proposed and analyzed.

### Building Gaussian cluster states by linear optics

- Physics
- 2007

The linear optical creation of Gaussian cluster states, a potential resource for universal quantum computation, is investigated. First, using Bloch-Messiah reduction, we show how to achieve canonical…

### Entanglement and Wigner Function Negativity of Multimode Non-Gaussian States.

- PhysicsPhysical review letters
- 2017

This work forms an analytical expression of the Wigner function after the subtraction or addition of a single photon, for arbitrarily many modes, which is used to demonstrate entanglement properties specific to non-Gaussian states and also leads to a practical and elegant condition for Wigninger function negativity.

### Optimization of networks for measurement-based quantum computation

- Computer Science
- 2015

A more general scheme for MBQC is introduced that does not necessarily rely on the use of ancillary cluster states to achieve its aim, but rather on the detection of a resource state in a suitable mode basis followed by digital post-processing.

### Repeat-until-success cubic phase gate for universal continuous-variable quantum computation

- Physics, Computer Science
- 2015

This work introduces an experimentally viable “repeat-until-success” approach to generating the cubic phase gate, which is achieved using sequential photon subtractions and Gaussian operations.

### Efficient classical simulation of continuous variable quantum information processes.

- Physics, MathematicsPhysical review letters
- 2002

It is obtained that any quantum process that begins with unentangled Gaussian states, performs only transformations generated by Hamiltonians that are quadratic in the canonical operators, and involves only measurements of canonical operators and suitable operations conditioned on these measurements can be simulated efficiently on a classical computer.

### Fault-tolerant measurement-based quantum computing with continuous-variable cluster states.

- Physics, Computer SciencePhysical review letters
- 2014

By concatenating with one of these codes and using ancilla-based error correction, fault-tolerant measurement-based quantum computation of theoretically indefinite length is possible with finitely squeezed cluster states.

### Experimental nonclassicality of single-photon-added thermal light states

- Physics
- 2007

We report the experimental realization and tomographic analysis of quantum light states obtained by exciting a classical thermal field by a single photon. Such states, although completely incoherent,…

### Graphical calculus for Gaussian pure states

- Computer Science
- 2011

We provide a unified graphical calculus for all Gaussian pure states, including graph transformation rules for all local and semilocal Gaussian unitary operations, as well as local quadrature…