Reduced state of the field and classicality of quantum Gaussian evolution
arXiv:2107.03196 · doi:10.1103/PhysRevA.106.062204
Abstract
The notion of classicality of quantum evolution of light is an object of both conceptual and practical importance. The main goal of this work is to derive the exact conditions for the classicality of quantum Gaussian evolution, i.e. the evolution of Gaussian states of light and their convex combinations, a model which is of great significance in quantum optics and information. Several examples, ranging from Gaussian thermal operations to entanglement-maximizing dissipative engineering, are discussed. Our results are obtained using the recently introduced mesoscopic theory of the reduced state of the field, which was originally devised as as a description of macroscopic quantum fields. Here, to make the framework suitable for our goal, we redevelop it as a tool for probing classicality, which constitutes our second main contribution.
arXiv comment11 pages + 4-page Appendix
References in corpus (36)
- Quantum entanglement
- Gaussian Quantum Information
- Separability of Mixed States: Necessary and Sufficient Conditions
- Peres-Horodecki separability criterion for continuous variable systems
- Continuous variable quantum cryptography using coherent states
- Continuous variable quantum information: Gaussian states and beyond
- Quantum information with Gaussian states
- Quantum optics in the phase space - A tutorial on Gaussian states
- General non-Markovian dynamics of open quantum systems
- Non-Gaussian Quantum States and Where to Find Them
- Resource theory of quantum non-Gaussianity and Wigner negativity
- Nonequilibrium Green's function method for quantum thermal transport
- Exact time evolution and master equations for the damped harmonic oscillator
- Convex resource theory of non-Gaussianity
- Semiclassical Approximations in Phase Space with Coherent States
- Determination of continuous variable entanglement by purity measurements
- Detecting quantum non-Gaussianity via the Wigner function
- Optimal control of entanglement via quantum feedback
- Nonequilibrium density matrix description of steady state quantum transport
- Simple Derivation of the Lindblad Equation
- Dissipation-induced pure Gaussian state
- Quantum non-Gaussianity witnesses in the phase space
- The three faces of entropy for complex systems -- information, thermodynamics and the maxent principle
- Optimal coherent control to counteract dissipation
- Gaussian Thermal Operations and the Limits of Algorithmic Cooling
- Direct probing of the Wigner function by time-multiplexed detection of photon statistics
- Single- and two-mode quantumness at a beam splitter
- Emergent classicality in continuous quantum measurements
- Dissipative evolution of quantum Gaussian states
- Fundamental quantum limits in ellipsometry
- Lindblad dynamics of Gaussian states and their superpositions in the semiclassical limit
- How squeezed states both maximize and minimize the same notion of quantumness
- Stabilizing entanglement in two-mode Gaussian states
- Searching for Coherent States: From Origins to Quantum Gravity
- Quantum features of macroscopic fields. Entropy and dynamics
- Stabilizable Gaussian states