Gaussian states in continuous variable quantum information

Abstract

These notes originated out of a set of lectures in Quantum Optics and Quantum Information given by one of us (MGAP) at the University of Napoli and the University of Milano. A quite broad set of issues are covered, ranging from elementary concepts to current research topics, and from fundamental concepts to applications. A special emphasis has been given to the phase space analysis of quantum dynamics and to the role of Gaussian states in continuous variable quantum information.

Lecture notes, 100 pages

References in corpus (2)

• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Unknown Quantum States and Operations, a Bayesian View

Cited by in corpus (110)

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• The Wigner Entropy Production Rate
• Metrological Nonlinear Squeezing Parameter
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• Discrimination of binary coherent states using a homodyne detector and a photon number resolving detector
• Parametric coupling between macroscopic quantum resonators
• Quantum gravitational decoherence of light and matter
• Work Extraction and Energy Storage in the Dicke Model
• Continuous-Variable Quantum Computing in Optical Time-Frequency Modes using Quantum Memories
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• Local-channel-induced rise of quantum correlations in continuous-variable systems
• Nonlinearity as a resource for nonclassicality in anharmonic systems
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• Matrix decompositions in Quantum Optics: Takagi/Autonne, Bloch-Messiah/Euler, Iwasawa, and Williamson
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• Noiseless Linear Amplification and Quantum Channels
• Entanglement generation via scattering of two particles with hard-core repulsion
• Quantum Cloning of Continuous Variable Entangled States
• Reconstructing the quantum state of oscillator networks with a single qubit
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• When heterodyning beats homodyning: an assessment with quadrature moments
• Building versatile bipartite probes for quantum metrology
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• Quantum thermodynamics of two bosonic systems
• The One-Mode Quantum-Limited Gaussian Attenuator and Amplifier Have Gaussian Maximizers
• Enhancing squeezing and nonclassicality of light in atom-optomechanical systems
• Amendable Gaussian channels:restoring entanglement via a unitary filter
• Verification of Continuous-Variable Quantum Memories
• Test one to test many: a unified approach to quantum benchmarks
• Direct Characteristic-Function Tomography of the Quantum States of Quantum Fields
• A theoretical framework for photon-subtraction with non-mode selective resources
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• Time-local optimal control for parameter estimation in the Gaussian regime
• Scheme for coherent-state quantum process tomography via normally-ordered moments
• Thermodynamics of trajectories of open quantum systems, step by step
• Enabling entanglement distillation via optomechanics
• Informational steady-states and conditional entropy production in continuously monitored systems: the case of Gaussian systems
• Geometry on the manifold of Gaussian quantum channels
• Gaussian boson sampling with partial distinguishability
• Photon-number moments and cumulants of Gaussian states
• Quantum entanglement in a four-partite hybrid system containing three macroscopic subsystems
• Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space
• Mixed discrete variable Gaussian states
• A Survey on Continuous Variable Quantum Key Distribution for Secure Data Transmission: Toward the Future of Secured Quantum-Networks
• Nonlinear Phase Gates as Airy Transforms of the Wigner Function
• Detecting Nonclassicality and quantum non-Gaussianity of photon subtracted displaced Fock state
• Potential renormalisation, Lamb shift and mean-force Gibbs state -- to shift or not to shift?
• Effects of the free evolution in the Arthurs-Kelly model of simultaneous measurement and in the retrodictive predictions of the Heisenberg uncertainty relations
• Gaussian boson sampling at finite temperature
• Particle Correlations in Bose-Einstein Condensates
• Building trust for continuous variable quantum states
• Dynamics of entanglement of bosonic modes on symmetric graphs
• Quantum Information with Continuous Variable systems
• Gaussian phase sensitivity of boson-sampling-inspired strategies
• Towards optimal quantum tomography with unbalanced homodyning
• Entanglement frustration in multimode Gaussian states
• Continuous Variable Quantum Advantages and Applications in Quantum Optics
• An Introduction to the Formalism of Quantum Information
• Continuous-Variable Deep Quantum Neural Networks for Flexible Learning of Structured Classical Information
• Entanglement in a linear coherent feedback chain of nondegenerate optical parametric amplifiers
• Phase Transitions in Light-Matter Systems for Quantum Sensing
• Decoding Protocols for Classical Communication on Quantum Channels
• Bending the rules of low-temperature thermometry with periodic driving
• Quantum Non-Gaussianity From An Indefinite Causal Order of Gaussian Operations
• Unconditional Microwave Quantum Teleportation of Gaussian States in Lossy Environments
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• The Interplay between Quantum Contextuality and Wigner Negativity
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