Tradeoff between energy and error in the discrimination of quantum-optical devices
Reads0
Chats0
TLDR
An analytical derivation of the optimal strategy for beamsplitters and an iterative algorithm converging to the optimum in the general case are provided and a simpler strategy using coherent input states and homodyne detection is compared.Abstract:
We address the problem of energy-error tradeoff in the discrimination between two linear passive quantum optical devices with a single use. We provide an analytical derivation of the optimal strategy for beamsplitters and an iterative algorithm converging to the optimum in the general case. We then compare the optimal strategy with a simpler strategy using coherent input states and homodyne detection. It turns out that the former requires much less energy in order to achieve the same performances.read more
Citations
More filters
Journal ArticleDOI
Gaussian quantum information
Christian Weedbrook,Stefano Pirandola,Raúl García-Patrón,Nicolas J. Cerf,Timothy C. Ralph,Jeffrey H. Shapiro,Seth Lloyd +6 more
TL;DR: This review focuses on continuous-variable quantum information processes that rely on any combination of Gaussian states, Gaussian operations, and Gaussian measurements, including quantum communication, quantum cryptography, quantum computation, quantum teleportation, and quantum state and channel discrimination.
Gaussian quantum information
Christian Weedbrook,Stefano Pirandola,Raúl García-Patrón,Nicolas J. Cerf,Timothy C. Ralph,Jeffrey H. Shapiro,Seth Lloyd +6 more
TL;DR: In this article, a review of the state of the art in continuous-variable quantum information processing can be found, ranging from the basic theoretical tools and landmark experimental realizations to the most recent successful developments.
Journal ArticleDOI
Advances in photonic quantum sensing
Stefano Pirandola,Stefano Pirandola,Bhaskar Roy Bardhan,Tobias Gehring,Christian Weedbrook,Seth Lloyd +5 more
TL;DR: The theoretical and experimental developments of quantum reading of classical data, quantum illumination of targets, and optical resolution beyond the Rayleigh limit are described.
Journal ArticleDOI
Quantum Fidelity for Arbitrary Gaussian States.
TL;DR: This work derives a computable analytical formula for the quantum fidelity between two arbitrary multimode Gaussian states which is simply expressed in terms of their first- and second-order statistical moments.
Journal ArticleDOI
Advances in Photonic Quantum Sensing
Stefano Pirandola,Stefano Pirandola,Bhaskar Roy Bardhan,Tobias Gehring,Christian Weedbrook,Seth Lloyd +5 more
TL;DR: In this paper, the basic tools behind quantum sensing are discussed, and the most recent and general formulations for the problems of quantum parameter estimation and hypothesis testing are discussed for the photonic regime.
References
More filters
Book
Mathematical Methods for Physicists
TL;DR: In this article, the authors present a model for vector analysis based on the Calculus of Variations and the Sturm-Liouville theory, which includes the following: Curved Coordinates, Tensors.
Book
Quantum detection and estimation theory
TL;DR: In this article, the optimum procedure for choosing between two hypotheses, and an approximate procedure valid at small signal-to-noise ratios and called threshold detection, are presented, and a quantum counterpart of the Cramer-Rao inequality of conventional statistics sets a lower bound to the mean-square errors of such estimates.
Journal ArticleDOI
Review of 'Quantum Detection and Estimation Theory' (Helstrom, C. W.; 1976)
TL;DR: This volume contains advanced materials of queueing theory plus three application chapters, and gives a comprehensive account of the diffusion process approximation and heavy traffic theory as applied to queueing systems.