463 citations · 1.8k across the 32 of their papers we have counts for
32 papers
Charge and spin orders in the t-U-V-J model: a slave-spin-1 approach
Olivier Simard, Michel Ferrero, Thomas Ayral
Strongly-correlated fermion systems on a lattice have been a subject of intense focus in the field of condensed-matter physics. These systems are notoriously difficult to solve, ev…
Turning qubit noise into an advantage: Automatic state preparation and long-time dynamics for impurity models on quantum computers
Corentin Bertrand, Pauline Besserve, Michel Ferrero +1
Noise is often regarded as a limitation of quantum computers. In this work, we show that in the dynamical mean field theory (DMFT) approach to strongly-correlated systems, it can a…
Optimizing Unitary Coupled Cluster Wave Functions on Quantum Hardware: Error Bound and Resource-Efficient Optimizer
Martin Plazanet, Thomas Ayral
In this work, we study the projective quantum eigensolver (PQE) approach to optimizing unitary coupled cluster wave functions on quantum hardware, as introduced in arXiv:2102.00345…
Compact fermionic quantum state preparation with a natural-orbitalizing variational quantum eigensolving scheme
Pauline Besserve, Michel Ferrero, Thomas Ayral
Assemblies of strongly interacting fermions, whether in a condensed-matter or a quantum chemistry context, range amongst the most promising candidate systems for which quantum comp…
Enabling large-depth simulation of noisy quantum circuits with positive tensor networks
Ambroise Müller, Thomas Ayral, Corentin Bertrand
Matrix product density operators (MPDOs) are tensor network representations of locally purified density matrices where each physical degree of freedom is associated to an environme…
Hubbard physics with Rydberg atoms: using a quantum spin simulator to simulate strong fermionic correlations
Antoine Michel, Loïc Henriet, Christophe Domain +2
We propose a hybrid quantum-classical method to investigate the equilibrium physics and the dynamics of strongly correlated fermionic models with spin-based quantum processors. Our…
Feasibility of performing quantum chemistry calculations on quantum computers
Thibaud Louvet, Thomas Ayral, Xavier Waintal
Quantum chemistry is envisioned as an early and disruptive application for quantum computers. Yet, closer scrutiny of the proposed algorithms shows that there are considerable diff…
Combining Matrix Product States and Noisy Quantum Computers for Quantum Simulation
Baptiste Anselme Martin, Thomas Ayral, François Jamet +2
Matrix Product States (MPS) and Operators (MPO) have been proven to be a powerful tool to study quantum many-body systems but are restricted to moderately entangled states as the n…
Quantum computing with and for many-body physics
Thomas Ayral, Pauline Besserve, Denis Lacroix +1
Quantum computing technologies are making steady progress. This has opened new opportunities for tackling problems whose complexity prevents their description on classical computer…
Open Source Variational Quantum Eigensolver Extension of the Quantum Learning Machine (QLM) for Quantum Chemistry
Mohammad Haidar, Marko J. Rančić, Thomas Ayral +2
Quantum Chemistry (QC) is one of the most promising applications of Quantum Computing. However, present quantum processing units (QPUs) are still subject to large errors. Therefore…
Quantum Divide and Compute: Exploring The Effect of Different Noise Sources
Thomas Ayral, François-Marie Le Régent, Zain Saleem +2
Our recent work (Ayral et al., 2020 IEEE Computer Society Annual Symposium on VLSI (ISVLSI)) showed the first implementation of the Quantum Divide and Compute (QDC) method, which a…
Benchmarking quantum co-processors in an application-centric, hardware-agnostic and scalable way
Simon Martiel, Thomas Ayral, Cyril Allouche
Existing protocols for benchmarking current quantum co-processors fail to meet the usual standards for assessing the performance of High-Performance-Computing platforms. After a sy…
Solving optimization problems with Rydberg analog quantum computers: Realistic requirements for quantum advantage using noisy simulation and classical benchmarks
Michel Fabrice Serret, Bertrand Marchand, Thomas Ayral
Platforms of Rydberg atoms have been proposed as promising candidates to solve some combinatorial optimization problems. Here, we compute quantitative requirements on the system si…
Quantum Divide and Compute: Hardware Demonstrations and Noisy Simulations
Thomas Ayral, François-Marie Le Régent, Zain Saleem +2
Noisy, intermediate-scale quantum computers come with intrinsic limitations in terms of the number of qubits (circuit "width") and decoherence time (circuit "depth") they can have.…
Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model
Tsung-Han Lee, Thomas Ayral, Yong-Xin Yao +2
We present detailed benchmark ground-state calculations of the one- and two-dimensional Hubbard model utilizing the cluster extensions of the rotationally invariant slave-boson (RI…
Chiral d-wave Superconductivity in a Triangular Surface Lattice Mediated by Long-range Interaction
Xiaodong Cao, Thomas Ayral, Zhicheng Zhong +3
Correlated ad-atom systems on the Si(111) surface have recently attracted an increased attention as strongly correlated systems with a rich phase diagram. We study these materials…
Dynamical Mean Field Theory, Density-Matrix Embedding Theory and Rotationally Invariant Slave Bosons: a Unified Perspective
Thomas Ayral, Tsung-Han Lee, Gabriel Kotliar
We present a unified perspective on Dynamical Mean Field Theory (DMFT), Density-Matrix Embedding Theory (DMET) and Rotationally Invariant Slave Bosons (RISB). We show that DMET can…
Non-local Coulomb interactions on the triangular lattice in the high-doping regime: Spectra and charge dynamics from Extended Dynamical Mean Field Theory
Sophie Chauvin, Thomas Ayral, Lucia Reining +1
We explore the two-dimensional extended Hubbard model on the triangular lattice in the high doping regime. On-site and nearest-neighbour repulsive interactions are treated in a non…
The Fierz convergence criterion: a controlled approach to strongly-interacting systems with small embedded clusters
Thomas Ayral, Jaksa Vucicevic, Olivier Parcollet
We present an embedded-cluster method, based on the TRILEX formalism. It turns the Fierz ambiguity, inherent to approaches based on a bosonic decoupling of local fermionic interact…
TRILEX and +EDMFT approach to -wave superconductivity in the Hubbard model
Jaksa Vucicevic, Thomas Ayral, Olivier Parcollet
We generalize the recently introduced TRILEX approach (TRiply Irreducible Local EXpansion) to superconducting phases. The method treats simultaneously Mott and spin-fluctuation phy…
Influence of Fock exchange in combined many-body perturbation and dynamical mean field theory
Thomas Ayral, Silke Biermann, Philipp Werner +1
In electronic systems with long-range Coulomb interaction, the nonlocal Fock exchange term has a band-widening effect. While this effect is included in combined many-body perturbat…
Large effects of subtle electronic correlations on the energetics of vacancies in alpha-Fe
Pascal Delange, Thomas Ayral, Sergei I. Simak +4
We study the effect of electronic Coulomb correlations on the vacancy formation energy in paramagnetic alpha-Fe within ab initio dynamical mean-field theory. The calculated value f…
Mott physics and collective modes: an atomic approximation of the four-particle irreducible functional
Thomas Ayral, Olivier Parcollet
We discuss a generalization of the dynamical mean field theory (DMFT) for strongly correlated systems close to a Mott transition based on a systematic approximation of the fully ir…
Mott physics and spin fluctuations: a functional viewpoint
Thomas Ayral, Olivier Parcollet
We present a formalism for strongly correlated systems with fermions coupled to bosonic modes. We construct the three-particle irreducible functional by successive Le…