Research
Research
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We leverage our competences to tackle quantum information problems from an engineering perspective, combining solid theoretical grounding with attention to practical applications. Our research interests focus on the design and characterization of quantum systems for a variety of application fields via multidisciplinary approaches at the intersection of quantum physics, information theory, statistical inference, and optimization theory.Â
Research activities, conducted in the context of national and international projects, cross-pollinate ideas from engineering, mathematics, and physics, expanding upon consolidated research competences on classical information technologies. Within the research activities in the QI Lab, we focus on the following topics.
Quantum state design
Specific interests include the following.
Characterization of non-Gaussian states - Provide the unified characterization for photon-varied quantum states (PVQSs) and quantify their non-classicality. Derive a closed-form expression for the generalized bilinear generating function of ordinary Hermite polynomials and showed how it can be used to describe photon-varied Gaussian states (PVGSs). Characterize PVGSs by deriving their Fock representation and their inner product.
Optimal quantum state design - Design quantum states with desirable non-classical properties. Translate the problem of designing orthogonal PVGSs to that of determining algebraic varieties of generalized H-KdF polynomials. Prove the existence of orthogonal PVGSs and establish methodologies for designing distinguishable PVGSs, also in the presence of decoherence.
Quantum decision systems
Specific interests include the following.
Quantum state discrimination - Characterize quantum state discrimination (QSD) with Gaussian and non-Gaussian states in terms of discrimination error probability for optimal/suboptimal quantum measurements. Assessment of decoherence effects, such as phase diffusion and photon loss, on QSD performance.
Quantum sensing and communications - Establish a theoretical foundation for quantum sensing and communication (QSC) employing photon-varied Gaussian states (PVGSs). Determine equivalence conditions for Gaussian states obtained from arbitrary permutations of rotation, displacement, and squeezing operators. Explore the use of PVGSs for QSC in several case studies.
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