6 papers · 1 filter
A fidelity metric for quantum annealing benchmarked by extreme scaling quantum Monte-Carlo simulations
Gabriel Gouraud, Miha Srdinsek, Xavier Waintal
Quantum annealers are supposed to follow adiabatically the ground state of a system as its Hamiltonian slowly interpolates between a trivial phase and a non-trivial one; the non-tr…
Who can compete with quantum computers? Lecture notes on quantum inspired tensor networks computational techniques
Xavier Waintal, Chen-How Huang, Christoph W. Groth
This is a set of lectures on tensor networks with a strong emphasis on the core algorithms involving Matrix Product States (MPS) and Matrix Product Operators (MPO). Compared to oth…
A multilevel tensor network compression technique for simulating Lindblad dynamics in superconducting circuits
Adrien Moulinas, Xavier Waintal
Designing superconducting quantum hardware requires simulation tools that can account for various deviations from ideal scenarios. This, in turn, requires approaches that automatic…
Tailoring tensor network techniques to the quantics representation for highly inhomogeneous problems and few body problems
Jheng-Wei Li, Nicolas Jolly, Xavier Waintal
Tensor network techniques are becoming increasingly popular tools to solve partial differential equations within the so-called quantics representation. Their popularity stems from…
Solving the Gross-Pitaevskii equation on multiple different scales using the quantics tensor train representation
Marcel Niedermeier, Adrien Moulinas, Thibaud Louvet +2
Solving partial differential equations of highly featured problems represents a formidable challenge, where reaching high precision across multiple length scales can require a proh…
Matrix product states and first quantization
Jheng-Wei Li, Xavier Waintal
Common wisdom says that the entanglement of fermionic systems can be low in the second quantization formalism but is extremely large in the first quantization. Hence Matrix Product…