Nonclassical properties of states engineered by superpositions of quantum operations on classical states

Abstract

We consider an experimentally realizable scheme for manipulating quantum states using a general superposition of products of field annihilation ($\hat{a}$) and creation (${\hat{a}}^{†}$) operators of the type ($s\hat{a}{\hat{a}}^{†}+t{\hat{a}}^{†}\hat{a}$), with $s^2+t^2=1$. Such an operation, when applied on states with classical features, is shown to introduce strong nonclassicality. We quantify the generated degree of nonclassicality by the negative volume of Wigner distribution in the phase space and investigate two other observable nonclassical features, sub-Poissonian statistics and squeezing. We find that the operation introduces negativity in the Wigner distribution of an input coherent state and changes the Gaussianity of an input thermal state. This provides the possibility of engineering quantum states with specific nonclassical features.

19 pages, IOPclass(iopart.cls)

References in corpus (5)

• Gaussian Quantum Information
• Quantum Metrology: Dynamics vs. Entanglement
• Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission
• Photon-subtracted squeezed thermal state: nonclassicality and decoherence
• Scheme for proving the bosonic commutation relation using single-photon interference

Cited by in corpus (8)

• Generating continuous variable entangled states for quantum teleportation using a superposition of number-conserving operations
• Controllable quantum correlations of two-photon states generated using classically driven three-level atoms
• Nonlinear displaced Kerr state and its nonclassical properties
• Performance optimization of continuous variable quantum teleportation with generalized photon-varying non-Gaussian operations
• A comparison between higher-order nonclassicalities of superposition engineered coherent and thermal states
• Quantifying quantum correlation of quasi-Werner state and probing its suitability for quantum teleportation
• Lower- versus higher-order nonclassicalities for a coherent superposed quantum state
• Quantum phase properties of a state driven by a classical field