Gaussian quantum information

By Christian Weedbrook, Stefano Pirandola, Raul Garcia-Patron, Nicolas J. Cerf, Timothy C. Ralph, Jeffrey H. Shapiro, Seth Lloyd. 2011

3,073 citations recorded by the source corpus.

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 processing. This review focuses on continuous-variable quantum information processes that rely on any combination of Gaussian states, Gaussian operations, and Gaussian measurements. Interestingly, such a restriction to the Gaussian realm comes with various benefits, since on the theoretical side, simple analytical tools are available and, on the experimental side, optical components effecting Gaussian processes are readily available in the laboratory. Yet, Gaussian quantum information processing opens the way to a wide variety of tasks and applications, including quantum communication, quantum cryptography, quantum computation, quantum teleportation, and quantum state and channel discrimination. This review reports on the state of the art in this field, ranging from the basic theoretical tools and landmark experimental realizations to the most recent successful developments.

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

View Paper: https://www.semanticscholar.org/paper/bf3806bc85db0bb4e3f3028b4ac6a3e249a8995c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum channels and memory effects (2012, background): “In the context of continuous variable systems (Braunstein and van Loock, 2005; Weedbrook et al., 2012), generalizing results obtained in the classical setting (Shannon, 1949) for the capacity of power-constrained Gaussian channels, quantum “water-filling” formulae have been recently derived…”
Distributing Secret Keys with Quantum Continuous Variables: Principle, Security and Implementations (2015, background): “The use of such continuous-variable quantum information carriers, instead of qubits, constitutes a powerful alternative approach for QKD and more generally for quantum information processing [12].”
Quantum-enhanced measurements without entanglement (2017, background): “For the specific tasks of discriminating bosonic channels, the input is assumed to be constrained in energy, so that we fix the mean number of photons n̄ per input probe, or more strongly, the mean total number of photons which are globally irradiated through the box (Weedbrook et al., 2012).”
Entanglement certification from theory to experiment (2018, background): “These challenges already arise for finite-dimensional systems, which we focus on here, referring the interested reader to existing reviews on continuous-variable entanglement [30–35], for a discussion of the fascinating intricacies of infinite-dimensional systems.”
Fault-tolerant bosonic quantum error correction with the surface–Gottesman-Kitaev-Preskill code (2019, background): “[76] for the definition of Gaussian channels and their characterization matrices).”
High-rate measurement-device-independent quantum cryptography (2013, background): “The next step is exploiting the optimality of Gaussian attacks for Gaussian protocols [S1, S2].”
Secure quantum key distribution with realistic devices (2020, background): “…important topics, but we refer the readers to other review articles on the topics of CV-QKD (Diamanti and Leverrier, 2015; Laudenbach et al., 2018; Weedbrook et al., 2012), highdimensional QKD (Xavier and Lima, 2020), quantum repeaters (Munro et al., 2015; Pan et al., 2012; Sangouard et al.,…”
Self-referenced continuous-variable quantum key distribution protocol (2015, methodology): “Protocols for an alternative approach, continuous-variable QKD (CV-QKD), were developed more recently [2, 6].”