13 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…
EHands: Quantum Protocol for Polynomial Computation on Real-Valued Encoded States
Jan Balewski, C. Pestano, Mercy G. Amankwah +3
We present EHands, a quantum-native protocol for implementing multivariable polynomial transformations on quantum processors. The protocol introduces four fundamental, reversible o…
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…
Quantum Data Representation via Circuit Partitioning and Reintegration
Ziqing Guo, Jan Balewski, Kewen Xiao +1
Quantum data encoding (QDE) enables faster com-putations than classical algorithms through superposition and en-tanglement. Circuit cutting and knitting are effective techniques fo…
Quantum Approximate Walk Algorithm
Ziqing Guo, Jan Balewski, Wenshuo Hu +2
The encoding of classical to quantum data mapping through trigonometric functions within arithmetic-based quantum computation algorithms leads to the exploitation of multivariate d…
Probing emergent prethermal dynamics and resonant melting on a programmable quantum simulator
Siva Darbha, Alexey Khudorozhkov, Pedro L. S. Lopes +11
The dynamics of isolated quantum systems following a sudden quench plays a central role in many areas of material science, high-energy physics, and quantum chemistry. Featuring com…