Research interests I have been doing research in theoretical nonlinear and quantum optics, quantum computation and information, quantum cryptography, nanoscience, and atom optics. In particular, I have been working on the following research topics: Quantum state engineering with light and atoms Generation and manipulation of the states of light interacting with natural and artificial atoms, including quantum dots, superconducting qubits in optical, superconducting and nanomechanical resonators. Quantum state and process tomography. Photon and phonon blockades (optical-state truncation methods). Conditional photon-count measurements. Nanoscience Entangled networks of quantum dots in microcavities. Quantum operations (including quantum gates and tomography) of semiconductor quantum wells using NMR methods. Quantum limits of nanomechanical resonators. Hybrid nanosystems. Quantum information processing and quantum cryptography Solid-state implementations of quantum computers and cryptosystems based on quantum dots and cavity QED. Teleportation protocols. Nonclassical light Generation of quantum light with the reduced quantum noise (sub-Poissonian, antibunched and squeezed light). Generation of quantum superpositions of macroscopically distinct states (Schrödinger cats and kittens). Interaction of quantum-optical fields with nonlinear media. Photon statistics. Quantum entanglement and nonlocality Criteria, measures, and paradoxes of quantum entanglement and Bell nonlocality for two-qubit systems. Spatial and temporal quantum steering. Phase problem, coherence, and decoherence Quantum phase properties of nonlinear optical phenomena within various approaches, including the Pegg-Barnett, Garrison-Wong and phase-space formalisms. Coherence control. Systems preserving or enhancing coherence. Quantum mechanics in finite dimensions Generalized harmonic-oscillator states in finite-dimensional Hilbert spaces. Analysis of their properties and possibilities of generation. Quantum vs classical descriptions of nonclassical phenomena General criteria and measures of nonclassical fields: Glauber-Sudarshan quasidistribution; nonclassical depth, volume, and distance; a unified description of nonclassicality and entanglement. Classical trajectories. Raman scattering Theoretical approach to quantum-statistical theories of Raman scattering processes within standing-wave models.