A5015797698- advanced mathematical theories
- Quantum Mechanics and Applications
- Stochastic processes and financial applications
- Algebraic and Geometric Analysis
- Advanced Mathematical Modeling in Engineering
- Spectral Theory in Mathematical Physics
- Quantum Information and Cryptography
- History and Theory of Mathematics
- Quantum Mechanics and Non-Hermitian Physics
- Advanced Thermodynamics and Statistical Mechanics
- Mathematical Analysis and Transform Methods
- Advanced Optical Sensing Technologies
- Quantum chaos and dynamical systems
- Quantum Electrodynamics and Casimir Effect
- Advanced Mathematical Physics Problems
- Nonlinear Differential Equations Analysis
- Quantum Computing Algorithms and Architecture
- Mathematical and Theoretical Analysis
- Fractional Differential Equations Solutions
- Analytical Chemistry and Sensors
- Mathematics and Applications
- Advanced Operator Algebra Research
- Biofield Effects and Biophysics
- Stochastic processes and statistical mechanics
- Differential Equations and Numerical Methods
University of Trento
2015-2024
Istituto Nazionale di Fisica Nucleare, Trento Institute for Fundamental Physics And Applications
2016-2024
Fondazione Bruno Kessler
2013
Institut für Technische und Angewandte Physik (Germany)
2004-2009
University of Bonn
2007
Abstract This review is about single‐particle entanglement. Entanglement occurs when the state of a quantum system with at least two degrees freedom has particular non‐separable form. In case entanglement, this correlation shared by same particle being it photon, neutron, an ion, or atom. Here, basics entanglement are discussed focusing on related to single particle. It how violation peculiar inequalities in context rules out any realistic non‐contextual hidden variable theory alternative...
Quantum entanglement represents an ideal resource to guarantee the security of random numbers employed in many scientific and cryptographic applications. However, entanglement-based certified number generators are particularly challenging implement. Here, we demonstrate a quantum generator based on momentum-polarization entangled single-photon states. The use allows attenuated laser source be simple setup where only linear optical components utilized. For latter, semi-device-independent...
A rigorous mathematical formulation of the “phase space Feynman path integral” is given in a general setting. This then applied to yield representation solutions Schrödinger equation with potential depending both on position and momentum variables.
A functional integral representation for the weak solution of Schrödinger equation with polynomially growing potentials is proposed in terms a white noise functional.
In single-particle or intraparticle entanglement, two degrees of freedom a single particle, e.g., momentum and polarization photon, are entangled. Single-particle entanglement (SPE) provides source non classical correlations which can be exploited both in quantum communication protocols experimental tests noncontextuality based on the Kochen-Specker theorem. Furthermore, SPE is robust under decoherence phenomena. Here, we show that entangled states photons produced from attenuated sources...
In single-particle entanglement (SPE) two degrees of freedom a single particle are entangled. SPE is resource that can be exploited both in quantum communication protocols and experimental tests noncontextuality based on the Kochen-Specker theorem. certified via test contextuality Bell inequalities. Experiments Bell-type inequality violation by entangled systems may affected an analog locality loophole this context, due to presence unavoidable nonidealities devices which actually produce...
The Belavkin equation, describing the continuous measurement of momentum a quantum particle, is studied. existence and uniqueness its solution proved via analytic tools. A stochastic characteristics method applied. rigorous representation by means an infinite dimensional oscillatory integral (Feynman path integral) defined on phase space also given.
A probabilistic representation for the solution of partial differential equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mo>∂</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mo>∂</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mi>u</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi>x</mml:mi><mml:mo...
We present a new method to acquire the 3D information from SPAD-based direct-Time-of-Flight (d-ToF) imaging system which does not require construction of histogram timestamps and can withstand high flux operation regime. The proposed acquisition scheme emulates behavior SPAD detector with no distortion due dead time, extracts <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">TOF</i> by simple average on photon ensuring ease integration in...