7 citations · 17 across the 18 of their papers we have counts for
20 papers
Emergent quantum algebras in dissipative time crystals
Joseph Tindall
Strong dynamical symmetries provide an algebraic description of persistent oscillations in open quantum systems governed by the Lindblad equation. For finite-dimensional systems wi…
More mutually unbiased bases
Mateo Cárdenes Wuttig, Joseph Tindall
Mutually unbiased bases (MUBs) describe quantum measurements for which certainty in one basis gives uniform outcomes in the others. Their maximum number remains unknown in dimensio…
Matrix Product Belief Propagation
Gabriel Woolls, Shahin Jahanbani, Adarsh Pashikanti +3
We introduce "matrix product belief propagation" (MP-BP) as a controlled method for the approximate contraction of two-dimensional tensor networks and graphical models, which gener…
A Complete Classification of Complex Hadamard Matrices of Order Six
Mateo Cárdenes Wuttig, Joseph Tindall
Complex Hadamard matrices encode perfectly balanced unitary transformations. Their classification is complete through order five, but order six -- the first dimension in which seve…
Exploring the Relaxation Landscape of a 2D Quantum Magnet on a 256-Qubit Processor
Tiago Mendes-Santos, Joseph Vovrosh, Sergi Julià-Farré +33
How quantum matter relaxes far from equilibrium is a central open problem in many-body physics, and one for which analog quantum simulators are well positioned to move from confirm…
Observable Estimation in the Absence of Classical Verification
Samantha V. Barron, Bradley Mitchell, Vinay Tripathi +45
The predictive success of quantum mechanics underpins many areas of modern science, even as the exact simulation of large, interacting quantum systems remains beyond the reach of c…
Finite-temperature formation of magnetic plateaus and simplex liquid states on the frustrated ruby lattice
Antonio Francesco Mello, E. Miles Stoudenmire, Joseph Tindall
Geometric frustration in quantum systems can stabilize unconventional phases of matter that avoid traditional magnetic ordering at low temperatures. Here, we observe this phenomeno…
Contracting Tensor Networks with Generalized Belief Propagation
Joseph Tindall, Grace M. Sommers, Hilbert Kappen
Recent years have seen a growing interest in the use of belief propagation - an algorithm originally introduced for performing statistical inference on graphical models - for appro…
Tensor network surrogate models for variational quantum computation
Ryo Watanabe, Dries Sels, Joseph Tindall
We adopt a two-dimensional tensor-network (TN) ansatz to simulate variational quantum algorithms on two-dimensional qubit architectures, demonstrating its capability to accurately…
Belief Propagation and Tensor Network Expansions for Many-Body Quantum Systems: Rigorous Results and Fundamental Limits
Siddhant Midha, Grace M. Sommers, Joseph Tindall +1
Belief propagation (BP) provides a scalable heuristic for contracting tensor networks on loopy graphs, but its success in quantum many-body settings has largely rested on empirical…
Quantum-Inspired Algorithm for Classical Spin Hamiltonians Based on Matrix Product Operators
Ryo Watanabe, Joseph Tindall, Shohei Miyakoshi +1
We propose a tensor-network (TN) approach for solving classical optimization problems that is inspired by spectral filtering and sampling on quantum states. We first shift and scal…
Simulating dynamics of the two-dimensional transverse-field Ising model: a comparative study of large-scale classical numerics
Joseph Vovrosh, Sergi Julià-Farré, Wladislaw Krinitsin +11
The quantum dynamics of many-qubit systems is an outstanding problem that has recently driven significant advances in both numerical methods and programmable quantum processing uni…
Probabilistic Computing Optimization of Complex Spin-Glass Topologies
Fredrik Hasselgren, Max O. Al-Hasso, Amy Searle +2
Spin glass systems as lattices of disordered magnets with random interactions have important implications within the theory of magnetization and applications to a wide-range of har…
Simulating and Sampling from Quantum Circuits with 2D Tensor Networks
Manuel S. Rudolph, Joseph Tindall
Classical simulations of quantum circuits play a vital role in the development of quantum computers and for taking the temperature of the field. Here, we classically simulate vario…
Dynamics of disordered quantum systems with two- and three-dimensional tensor networks
Joseph Tindall, Antonio Mello, Matt Fishman +2
Large scale quantum annealing dynamics of Ising spin glasses were recently implemented on D-Wave's Advantage system on a range of lattices. Following extensive comparison to exi…
Learning interactions between Rydberg atoms
Olivier Simard, Anna Dawid, Joseph Tindall +3
Quantum simulators have the potential to solve quantum many-body problems that are beyond the reach of classical computers, especially when they feature long-range entanglement. To…
Nonperturbative decay of bipartite discrete time crystals
Lennart Fernandes, Joseph Tindall, Dries Sels
We study prethermal time-crystalline order in periodically driven quantum Ising models on disorder-free decorated lattices. Using a tensor network ansatz for the state which reflec…
Compressing multivariate functions with tree tensor networks
Joseph Tindall, E. Miles Stoudenmire, Ryan Levy
Tensor networks are a compressed format for multi-dimensional data. One dimensional tensor networks -- often referred to as tensor trains (TT) or matrix product states (MPS) -- are…
Confinement in the Transverse Field Ising model on the Heavy Hex lattice
Joseph Tindall, Dries Sels
We study the emergence of confinement in the transverse field Ising model on a decorated hexagonal lattice. Using an infinite tensor network state optimised with belief propagation…
Mott Transition and Volume Law Entanglement with Neural Quantum States
Chloé Gauvin-Ndiaye, Joseph Tindall, Javier Robledo Moreno +1
The interplay between delocalisation and repulsive interactions can cause electronic systems to undergo a Mott transition between a metal and an insulator. Here we use neural netwo…