Detecting nonclassicality and non-Gaussianity of a coherent superposed quantum state

Abstract

In this paper, we investigate the nonclassicality and non-Gaussianity of a coherent superposed quantum state (CSQS) which is obtained by applying a coherent superposition of field annihilation ($a$) and creation ($a^{†}$) operators, $N(ta+r{a}^{†})$ to a classical coherent state $|\alpha ⟩$, where $t$ and $r$ are scalars with $t^2+r^2=1$. Such an operation, when applied on states having classical characters, introduces strong nonclassicality. We use different criteria to check the nonclassicality and non-Gaussianity of the considered quantum state. We first compute the Wigner function of CSQS. To study the nonclassicality of the considered state we further use (i) linear entropy (LE) (ii) Wigner logarithmic negativity (WLN) and (iii) skew information based measure. Relative entropy based measure is considered to analyze the variation in non-Gaussianity of CSQS. Finally, the dynamics of the Wigner function evolving under the photon loss channel is addressed to probe the effect of noise on nonclassicality as well as non-Gaussianity of CSQS.

arXiv comment9 pages, 7 figures. arXiv admin note: text overlap with arXiv:2109.12145 by other authors

References in corpus (25)

• Universal Quantum Computation with Continuous-Variable Cluster States
• Gaussian transformations and distillation of entangled Gaussian states
• A No-Go Theorem for Gaussian Quantum Error Correction
• A computable measure of nonclassicality for light
• Maximal entanglement versus entropy for mixed quantum states
• Resource theory of quantum non-Gaussianity and Wigner negativity
• Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states
• Quantum state engineering by a coherent superposition of photon subtraction and addition
• Detecting quantum non-Gaussianity via the Wigner function
• Non-Gaussianity of quantum states: an experimental test on single-photon added coherent states
• Non-Gaussianity as a signature of a quantum theory of gravity
• Scheme for proving the bosonic commutation relation using single-photon interference
• Experimental test of quantum non-Gaussianity of heralded single photon state
• Experimental demonstration of continuous variable purification of squeezed states
• Statistical mixtures of states can be more quantum than their superpositions: Comparison of nonclassicality measures for single-qubit states
• Quantum non-Gaussian Depth of Single-Photon States
• Faithful hierarchy of genuine $n$-photon quantum non-Gaussian light
• Quantum Non-Gaussian Multiphoton Light
• Strong no-go theorem for Gaussian quantum bit commitment
• Quantum non-Gaussianity and quantification of nonclassicality
• Classical light vs. nonclassical light: Characterizations and interesting applications
• Direct experimental certification of quantum non-Gaussian character and Wigner function negativity of single-photon detectors
• Sufficiency of quantum non-Gaussianity for discrete-variable quantum key distribution over noisy channel
• Quantum non-Gaussian Photon Coincidences
• A comparison between higher-order nonclassicalities of superposition engineered coherent and thermal states