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10 papers · 2 filters
Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling
Pedro C. S. Costa, Philipp Schleich, Mauro E. S. Morales +1
The solution of large systems of nonlinear differential equations is needed for many applications in science and engineering. In this study, we present three main improvements to e…
Does provable absence of barren plateaus imply classical simulability?
M. Cerezo, Martin Larocca, Diego García-Martín +9
A large amount of effort has recently been put into understanding the barren plateau phenomenon. In this perspective article, we face the increasingly loud elephant in the room and…
Classification of dynamical Lie algebras for translation-invariant 2-local spin systems in one dimension
Roeland Wiersema, Efekan Kökcü, Alexander F. Kemper +1
Much is understood about 1-dimensional spin chains in terms of entanglement properties, physical phases, and integrability. However, the Lie algebraic properties of the Hamiltonian…
One-half reflected entropy is not a lower bound for entanglement of purification
Josiah Couch, Phuc Nguyen, Sarah Racz +2
In recent work, Akers et al. proved that the entanglement of purification is bounded below by half of the -Rényi reflected entropy for all ,…
Sequential quantum simulation of spin chains with a single circuit QED device
Yuxuan Zhang, Shahin Jahanbani, Ameya Riswadkar +2
Quantum simulation of many-body systems in materials science and chemistry are promising application areas for quantum computers. However, the limited scale and coherence of near-t…
A Framework for Demonstrating Practical Quantum Advantage: Racing Quantum against Classical Generative Models
Mohamed Hibat-Allah, Marta Mauri, Juan Carrasquilla +1
Generative modeling has seen a rising interest in both classical and quantum machine learning, and it represents a promising candidate to obtain a practical quantum advantage in th…