Dissipative evolution of quantum Gaussian states

Abstract

Recent works on quantum resource theories of non-Gaussianity, which are based upon the type of tools available in contemporary experimental settings, put Gaussian states and their convex combinations on equal footing. Motivated by this, in this article, we derive a new model of dissipative time evolution based on unitary Lindblad operators which, while does not preserve the set of Gaussian states, preserves the set of their convex combinations, i.e. so-called quantum Gaussian states. As we demonstrate, the considered evolution proves useful both as a description for random scattering and as a tool in dissipator engineering.

arXiv comment12 pages

References in corpus (49)

• Quantum entanglement
• Mixed State Entanglement and Quantum Error Correction
• Gaussian Quantum Information
• Separability of Mixed States: Necessary and Sufficient Conditions
• Peres-Horodecki separability criterion for continuous variable systems
• Quantum Resource Theories
• Distillation of secret key and entanglement from quantum states
• Continuous variable quantum information: Gaussian states and beyond
• Quantum data processing and error correction
• Gaussian quantum discord
• "Squashed Entanglement" - An Additive Entanglement Measure
• Quantum information with Gaussian states
• Quantum optics in the phase space - A tutorial on Gaussian states
• Extremality of Gaussian quantum states
• Non-Gaussian Quantum States and Where to Find Them
• Computing quantum discord is NP-complete
• Symplectic invariants, entropic measures and correlations of Gaussian states
• Quantum collision models: open system dynamics from repeated interactions
• Resource theory of quantum non-Gaussianity and Wigner negativity
• Quantifying the non-Gaussian character of a quantum state by quantum relative entropy
• Quantifying non-Gaussianity for quantum information
• Convex resource theory of non-Gaussianity
• A measure of the non-Gaussian character of a quantum state
• Purity of Gaussian states: measurement schemes and time-evolution in noisy channels
• Determination of continuous variable entanglement by purity measurements
• Detecting quantum non-Gaussianity via the Wigner function
• Optimal control of entanglement via quantum feedback
• Collision models in open system dynamics: A versatile tool for deeper insights?
• Simple Derivation of the Lindblad Equation
• Dissipation-induced pure Gaussian state
• Quantum non-Gaussianity witnesses in the phase space
• Symplectic evolution of Wigner functions in markovian open systems
• Quantum non-Gaussianity of light and atoms
• Gaussian Thermal Operations and the Limits of Algorithmic Cooling
• Quantum non-Gaussianity and quantification of nonclassicality
• Quantum non-Gaussianity and secure quantum communication
• Periodicity of quantum correlations in the quantum kicked top
• Quantum fidelity for Gaussian states describing the evolution of open systems
• Normal form decomposition for Gaussian-to-Gaussian superoperators
• Quantum uncertainty relation saturated by the eigenstates of the harmonic oscillator
• Dynamics of quantum entanglement in Gaussian open systems
• Quantum thermodynamics in a multipartite setting: A resource theory of local Gaussian work extraction for multimode bosonic systems
• The Wehrl entropy has Gaussian optimizers
• Lindblad dynamics of Gaussian states and their superpositions in the semiclassical limit
• Stabilizing entanglement in two-mode Gaussian states
• Dynamics of moments of arbitrary order for stochastic Poisson squeezings
• Quantum features of macroscopic fields. Entropy and dynamics
• Stabilizable Gaussian states
• Entanglement properties of a measurement-based entanglement distillation experiment

Cited by in corpus (9)

• Anomalous discharging of quantum batteries: the ergotropic Mpemba effect
• Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space
• Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars
• Effect of dephasing on the current through a periodically driven quantum point contact
• Reduced state of the field and classicality of quantum Gaussian evolution
• Non-Gaussian Phase Transition and Cascade of Instabilities in the Dissipative Quantum Rabi Model
• Spectral stabilizability
• Routing entanglement through quantum networks
• Open dynamics of entanglement in mesoscopic bosonic systems