Quantum Process Nonclassicality

Abstract

We propose a definition of nonclassicality for a single-mode quantum-optical process based on its action on coherent states. If a quantum process transforms a coherent state to a nonclassical state, it is verified to be nonclassical. To identify nonclassical processes, we introduce a representation for quantum processes, called the process-nonclassicality quasiprobability distribution, whose negativities indicate nonclassicality of the process. Using this distribution, we derive a relation for predicting nonclassicality of the output states for a given input state. We experimentally demonstrate our method by considering the single-photon addition as a nonclassical process, and predicting nonclassicality of the output state for an input thermal state.

5+2 pages, 5 figures

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• Quasiprobability representation of quantum coherence
• Experimental quantum tomography of a homodyne detector
• Operational quantification of continuous-variable quantum resources
• Quantifying the nonclassicality of pure dephasing
• Quasiprobability distributions for quantum-optical coherence and beyond
• Nonclassical distance in multimode bosonic systems
• Quantifying nonclassicality by characteristic functions
• Photon-by-photon quantum light state engineering
• Process output nonclassicality and nonclassicality depth of quantum-optical channels
• Quantum correlations in composite systems
• Two-photon absorption and emission by Rydberg atoms in coupled cavities
• Physical background for parameters of the quantum Rabi model
• Quantitative Study of Beam Splitter Generated Entanglement from Input States with Multiple Nonclassicality Inducing Operations
• Scheme for coherent-state quantum process tomography via normally-ordered moments
• Classical evolution in quantum systems
• Efficient detection of nonclassicality using moments of the Wigner function
• Preparation of arbitrary quantum states with regular $P$~functions
• Precession-induced nonclassicality of the free induction decay of NV centers by a dynamical polarized nuclear spin bath
• Unveiling the nonclassicality within quasi-distribution representations through deep learning
• Justification of the single-mode approximation for a finite-duration laser pulse interacting with an electron
• Characterization of nonclassicality of Gaussian states initially generated in optical spontaneous parametric processes by means of induced stimulated emission
• Adaptively partitioned analog quantum simulation on near-term quantum computers: The nonclassical free-induction decay of NV centers in diamond
• Probing microscopic models for system-bath interactions via parametric driving
• Filter functions for the Glauber-Sudarshan $P$-function regularization