We report an accurate and efficient classical simulation of a kicked Ising quantum system on
the heavy hexagon lattice. A simulation of this system was recently performed on a 127-qubit …

A recent quantum simulation of observables of the kicked Ising model on 127 qubits
implemented circuits that exceed the capabilities of exact classical simulation. We show that …

Decoding algorithms based on approximate tensor-network (TN) contraction have proven
tremendously successful in decoding two-dimensional (2D) local quantum codes such as …

In this work, we show that the kinetically constrained quantum East model lies between a
quantum scarred and a many-body localized system featuring an unconventional type of …

Inspired by a recent quantum computing experiment [Y. Kim et al., Nature (London), 618,
500–5 (2023) NATUAS 0028-0836 10.1038/s41586-023-06096-3], we study the emergence …

In this review article we summarize all experiments claiming quantum computational
advantage to date. Our review highlights challenges, loopholes, and refutations appearing …

We propose an analytic approach for the steady-state dynamics of Markov processes on
locally tree-like graphs. It is based on the definition of a probability distribution for infinite …

Towards the efficient simulation of near-term quantum devices using tensor network states,
we introduce an improved real-space parallelizable matrix-product state (MPS) compression …

Quantum annealing and quantum approximate optimization algorithms hold a great
potential to speed-up optimization problems. This could be game-changing for a plethora of …

We present an expression for the spectral gap, opening up new possibilities for performing
and accelerating spectral calculations of quantum many-body systems. We develop and …