Detecting Nonclassicality and quantum non-Gaussianity of photon subtracted displaced Fock state

Abstract

In this paper, a quantitative investigation of the non-classical and quantum non-Gaussian characters of the photon-subtracted displaced Fock state $|\psi ⟩=a^{k}D(\alpha )|n⟩$, where $k$ is number of photons subtracted, $n$ is Fock parameter, is performed by using a collection of measures like Wigner logarithmic negativity, linear entropy potential, skew information based measure, and relative entropy of quantum non-Gaussianity. It is noticed that the number of photons subtracted ($k$) changes the nonclassicality and quantum non-Gaussianity in a significant amount in the regime of small values of the displacement parameter whereas Fock parameter ($n$) presents a notable change in the large regime of the displacement parameter. In this respect, the role of the Fock parameter is found to be stronger as compared to the photon subtraction number. Finally, the Wigner function dynamics considering the effects of photon loss channel is used to show that the Wigner negativity can only be exposed by highly efficient detectors.

arXiv comment15 pages and 9 figures. arXiv admin note: substantial text overlap with arXiv:2109.12145 by other authors

References in corpus (47)

• Experimental quantum teleportation
• Quantum cryptography: Public key distribution and coin tossing
• Gaussian Quantum Information
• Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
• Continuous-variable optical quantum state tomography
• Universal Quantum Computation with Continuous-Variable Cluster States
• Continuous variable quantum information: Gaussian states and beyond
• Quantum computation with optical coherent states
• From Bell's Theorem to Secure Quantum Key Distribution
• On the impossibility of distilling Gaussian states with Gaussian operations
• The characterization of Gaussian operations and Distillation of Gaussian States
• Continuous-variable teleportation improvement by photon subtraction via conditional measurement
• Gaussian transformations and distillation of entangled Gaussian states
• Nonlocality of Einstein-Podolsky-Rosen State in Wigner Representation
• Quantum Nonlocality in Phase Space
• A No-Go Theorem for Gaussian Quantum Error Correction
• A computable measure of nonclassicality for light
• Maximal entanglement versus entropy for mixed quantum states
• Fault-tolerant linear optical quantum computing with small-amplitude coherent states
• Resource theory of quantum non-Gaussianity and Wigner negativity
• Teleportation improvement by inconclusive photon subtraction
• Proposed Test of Quantum Nonlocality for Continuous Variables
• Quantifying the non-Gaussian character of a quantum state by quantum relative entropy
• Quantifying non-Gaussianity for quantum information
• Maximal Violation of Bell's Inequalities for Continuous Variable Systems
• Convex resource theory of non-Gaussianity
• Teleportation as a quantum computation
• Gaussian states in continuous variable quantum information
• Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states
• Synthesis and tomographic characterization of the displaced Fock state of light
• Detecting quantum non-Gaussianity via the Wigner function
• Stellar representation of non-Gaussian quantum states
• Dynamics of Nonlocality for A Two-Mode Squeezed State in Thermal Environment
• Directly estimating non-classicality
• Conditional and unconditional Gaussian quantum dynamics
• Statistical mixtures of states can be more quantum than their superpositions: Comparison of nonclassicality measures for single-qubit states
• Effect of noise and enhancement of nonlocality in on/off photodetection
• Lower- and higher-order nonclassical properties of photon added and subtracted displaced Fock states
• Nonlocality of two- and three-mode continuous variable systems
• Continuous variable B92 quantum key distribution protocol using single photon added and subtracted coherent states
• Quantum non-Gaussianity and quantification of nonclassicality
• Quantum phase properties of photon added and subtracted displaced Fock states
• Classical light vs. nonclassical light: Characterizations and interesting applications
• Quantifying non-Gaussianity of quantum-state correlation
• On the conversion efficiency of ultracold fermionic atoms to bosonic molecules via Feshbach resonances
• Pure and mixed states
• Realistic continuous-variable quantum teleportation using a displaced Fock state channel

Cited by in corpus (1)

• Analyzing performance of $f$-deformed displaced Fock state in continuous-variable quantum teleportation