Research

Quantum Computing, Quantum Chemistry and Tequila

Benchmarking Noise-Resilient Optimizers for Variational Quantum Algorithms

code
optimization
noise resilience
Variational quantum algorithms (VQAs) [1] aim to extract useful results from noisy intermediate-scale quantum (NISQ) hardware [2]. In them, a quantum device evaluates…
Sep 9, 2026
Ram Mosco, Adapted by Adelina Bärligea

Pauli Correlation Encoding for Qubit-Efficient MaxCut

code
quantum optimization
Many quantum algorithms for binary optimization such as QAOA [1] use one qubit for each decision variable, making the register size a direct bottleneck when trying to solve…
Aug 31, 2026
Elisabeth Welizky, Adapted by Adelina Bärligea

Initialization Strategies for Trainable Variational Quantum Algorithms

code
barren plateaus
Variational quantum algorithms are useful only when their circuit parameters can be trained efficiently (Cerezo et al. 2021). Deep hardware-efficient ansätze initialized…
Aug 24, 2026
Simon Reichert, Adapted by Adelina Bärligea

Testing Shot-Frugal Optimizers for Variational Quantum Algorithms

code
optimizers
Variational quantum algorithms (VQAs) use a classical optimizer to tune a parameterized quantum circuit from repeated estimates of a quantum objective, for example to…
Aug 21, 2026
Marc-Justin Scheffler, Adapted by Adelina Bärligea

Implementing Fast Pauli Decomposition with the Walsh-Hadamard Transform

code
Pauli decompositions express quantum operators in a standard basis that is convenient for simulation, measurement, and algorithm design. This tutorial shows how all Pauli…
Aug 21, 2026
Philipp Greiner, Adapted by Adelina Bärligea

Efficient Preparation of Coulomb Potential States for Quantum Chemistry Simulation

We describe the implementation of a quantum circuit in tequila that simulates chemical systems in first quantization using a plane-wave representation. The construction…
Mar 18, 2026
Tamara Wegner

Building a Quantum Circuit for Gaussian Convolutions

This post shows how to use Tequila to implement a quantum circuit which performs a Gaussian convolution.
Nov 23, 2024
Oliver Hüttenhofer

Excited State Methods

mra
code
In this work we discuss an Eigensolver, which aims to find the ground state of a given Electronic Hamiltonian. To briefly recap: A Hamiltonian itself describes the possible…
Oct 15, 2024
Elisabeth Welizky

Molecular Quantum Circuits

tequila
code
chemistry
Physical insights into the construction of quantum circuits.
Sep 12, 2024
Jakob Kottmann

Building a Variational Quantum Classifier

code
Currently, Convolutional and Deep Neural Networks are at the forefront of research in Machine Learning and Computer Science in general. These networks show the best results…
Jul 19, 2024
Simon Reichert, Adapted by Thuy Truong

Electronic Hamiltonians

chemistry
What are electronic Hamiltonians and how can we construct them?
Nov 10, 2022
Jakob Kottmann
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