Quantum information with Gaussian states

By X.-B. Wang, T. Hiroshima, Akihisa Tomita, Masahito Hayashi. 2007

393 citations recorded by the source corpus.

Quantum optical Gaussian states are a type of important robust quantum states which are manipulatable by the existing technologies. So far, most of the important quantum information experiments are done with such states, including bright Gaussian light and weak Gaussian light. Extending the existing results of quantum information with discrete quantum states to the case of continuous variable quantum states is an interesting theoretical job. The quantum Gaussian states play a central role in such a case. We review the properties and applications of Gaussian states in quantum information with emphasis on the fundamental concepts, the calculation techniques and the effects of imperfections of the real-life experimental setups. Topics here include the elementary properties of Gaussian states and relevant quantum information device, entanglement-based quantum tasks such as quantum teleportation, quantum cryptography with weak and strong Gaussian states and the quantum channel capacity, mathematical theory of quantum entanglement and state estimation for Gaussian states.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/57ed95aa15fb7d65e1418f49dd0430c2f7e29a51

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Advances in quantum cryptography (2019, neutral): “[111] for a brief review on decoy states.”
Gaussian quantum information (2011, background): “On Gaussian quantum information specifically there is the review article by Wang et al. (2007) and the lecture notes of Ferraro, Olivares, and Paris (2005).”
Quantum Fisher information matrix and multiparameter estimation (2019, neutral): “, [55, 56,58,60,61] χ(~s) = e− 1 2 ~sTΩCΩT~s−i(Ω〈~ R〉)T~s, (60) W (~ R) = 1 (2π)m √ detC e− 1 2( R−〈~ R〉) T C−1(~ R−〈~ R〉), (61)”