PinnedAlexander Del Toro Barba (PhD)Quantifying Quantum Advantage for Topological Data AnalysisQuantum TDA is a very promising quantum algorithm that resists dequantization. In part 4 we learn how to quantify quantum advantage for…Aug 9Aug 9
PinnedAlexander Del Toro Barba (PhD)Can Quantum Computing accelerate Generative AI?Quantum Computing and Generative AI are two topics of high interest and a certain degree of hype. Is there a realistic way to combine them?Aug 3Aug 3
PinnedAlexander Del Toro Barba (PhD)How Quantum Computing could accelerate Finance and EconomicsAn overview with classical code example in JAX, quantum-inspired code in TensorNetwork, quantum code in Cirq, and Giotto for topological…Jul 16Jul 16
PinnedAlexander Del Toro Barba (PhD)What is Dequantization in Quantum Machine Learning?AI and Quantum Computing are among the hottest topics in tech. However, some popular quantum machine learning algorithms have proven to be…Jun 26Jun 26
PinnedAlexander Del Toro Barba (PhD)Topological Data Analysis with Differential Forms, Hodge Theory and Cohomology ClassesQuantum TDA is a very promising quantum algorithm that resists dequantization. In part 3 we look into Differential Forms, Hodge…Aug 13Aug 13
Alexander Del Toro Barba (PhD)Projection-based Overlap EstimationProjection-based overlap estimation is an important technique applied in a quantum TDA algorithm, specifically during the estimation of the…Sep 7Sep 7
Alexander Del Toro Barba (PhD)Chebyshev Polynomials in Quantum Topological Data AnalysisChebyshev polynomials are a family of orthogonal polynomials that are defined by a recursion for all positive integers n. The property of…Sep 6Sep 6
Alexander Del Toro Barba (PhD)Dicke States in Quantum ComputingAn important task in quantum computing is the efficient preparation of quantum states. A Dicke state |Dₖ,ₙ⟩ is the equal superposition of…Sep 6Sep 6
Alexander Del Toro Barba (PhD)Qubitization and Quantum Walks in Quantum ComputingIn quantum TDA the goal is to efficiently navigate simplicial complexes and analyze spectral properties to infer Betti numbers. Quantum…Sep 6Sep 6
Alexander Del Toro Barba (PhD)Block Encoding in Quantum ComputingPhoto by Li Zhang on UnsplashSep 6Sep 6