22 papers · 1 filter
Quantum Signal Processing for Linear PDEs: Circuit Design and Experimental Validation
Hyeongjin Kim, Revathi Jambunathan, Jan Balewski +1
Quantum algorithms offer new avenues for solving partial differential equations (PDEs). While the potential for end-to-end quantum advantage is at present not well understood, rece…
Efficient Quantum Implementation of Dynamical Mean Field Theory for Correlated Materials
Norman Hogan, Efekan Kökcü, Thomas Steckmann +6
The accurate theoretical description of materials with strongly correlated electrons is a formidable challenge in condensed matter physics and computational chemistry. Dynamical Me…
Quantum Rational Transformation Using Linear Combinations of Hamiltonian Simulations
Yizhi Shen, Niel Van Buggenhout, Daan Camps +2
Rational functions are exceptionally powerful tools in scientific computing, yet their abilities to advance quantum algorithms remain largely untapped. In this paper, we introduce…
Efficient Measurement-Driven Eigenenergy Estimation with Classical Shadows
Yizhi Shen, Alex Buzali, Hong-Ye Hu +4
Quantum algorithms exploiting real-time evolution under a target Hamiltonian have demonstrated remarkable efficiency in extracting key spectral information. However, the broader po…
Observation of an anomaly in the statistics of Kibble-Zurek defects
Jan Balewski, Alexey Khudorozhkov, Siva Darbha +8
The Kibble-Zurek mechanism quantifies defect formation during adiabatic passage across a continuous phase transition, providing key insights into universality in quantum many-body…
The Practicality of Randomized Quantum Linear Systems Solvers
Siddharth Hariprakash, Roel Van Beeumen, Katherine Klymko +1
Randomized quantum algorithms have been proposed for quantum linear algebra with the goal of constructing shallower circuits than methods based on block encodings, and have been sp…