# Gaussian quantum information

@article{Weedbrook2012GaussianQI, title={Gaussian quantum information}, author={Christian Weedbrook and Stefano Pirandola and Ra{\'u}l Garc{\'i}a-Patr{\'o}n and Nicolas J. Cerf and Timothy C. Ralph and Jeffrey H. Shapiro and Seth Lloyd}, journal={Reviews of Modern Physics}, year={2012}, volume={84}, pages={621-669} }

The science of quantum information has arisen over the last two decades centered on the manipulation of individual quanta of information, known as quantum bits or qubits. Quantum computers, quantum cryptography, and quantum teleportation are among the most celebrated ideas that have emerged from this new field. It was realized later on that using continuous-variable quantum information carriers, instead of qubits, constitutes an extremely powerful alternative approach to quantum information…

## 1,838 Citations

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This thesis deals with the development and implementation of quantum information protocols that utilize the rather inexpensive resource of Gaussian states, and introduces the idea of measurement device independence for continuous variable states and presents a proof-of-principle implementation of this protocol.

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The results show a conversion of the negativity of local Wigner functions in mutual information and that the coherence for Gaussian states may be a witness for non-Markovian dynamics, evidencing the usefulness in several protocols in quantum thermodynamics.

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This chapter presents some applications of Quantum Information Theory that deviate from the problem of reliably transmitting classical information, and devote a paragraph to the topic of quantum teleportation, that is, the transfer of an unknown quantum state between two different locations that is achieved by making use of entanglement and only transmitting classicalInformation.

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This thesis introduces various post-selection-based continuous variable (CV) quantum information protocols, showing that the aforementioned limitations can be efficiently surmounted by forgoing determinism and demonstrating quantum information tasks with a finite success probability that would otherwise be impossible deterministically.

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The principle of continuous-variable quantum key distribution is described, focusing in particular on protocols based on coherent states, and the security of these protocols is discussed and the state-of-the-art in experimental implementations are reported, including the issue of side-channel attacks.

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This thesis presents a method to decompose any quantum measurement into a sequence of easier nested measurements through a binary-tree search and shows that this decomposition can be used to build a capacity-achieving decoding protocol for classical communication on quantum channels and to solve the optimal discrimination of some sets of quantum states.

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