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Pietro Zanotta

Pietro Zanotta

5 followers

Welcome to my blog! Explore a world where numerical methods, quantum computing, and the sparks of curiosity converge

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Quantum Finance: Option Pricing

Jul 28, 202413 min read

Financial institutions deal daily with a spectrum of computationally intensive challenges. These include for example forecasting tasks, such as...

Quantum Finance: Option Pricing

Solving linear systems of equations using quantum computers

Sep 30, 20249 min read

Linear systems of equations lie at the heart of many scientific and engineering problems, from machine learning to optimization and physics...

Solving linear systems of equations using quantum computers

Computing Gradients of Quantum Circuits using Parameter Shift Rule

Sep 19, 20248 min read

Variational Quantum Algorithms (VQAs) are regarded as one of the most promising approaches for leveraging near-term quantum devices as they combine...

Computing Gradients of Quantum Circuits using Parameter Shift Rule

Quantum kernels in solving differential equations

Sep 15, 20249 min read

Machine learning is often guided by the balance between bias and variance, i.e. if a model is too simple, it struggles to capture the underlying...

Quantum kernels in solving differential equations

Quantum Boltzmann Machines

Aug 7, 202410 min read

Quantum Boltzmann Machines (QBMs) are at the cutting edge of quantum machine learning, offering a novel extension of classical Boltzmann machines...

Quantum Boltzmann Machines

Physics informed neural networks for solving Partial Differential Equations

May 5, 202417 min read

Introduction Despite the grandiose name, Physics Informed Neural Networks (PINNs from now on) are simply neural networks trained to solve supervised...

Physics informed neural networks for solving Partial Differential Equations