Michal Hajdušek

Digital quantum simulator for the time-dependent Dirac equation using discrete-time quantum walks

2023 · arXiv (Cornell University)

We introduce a quantum algorithm for simulating the time-dependent Dirac equation in 3+1 dimensions using discrete-time quantum walks. Thus far, promising quantum algorithms have been proposed to simulate quantum dynamics in non-relativistic regimes efficiently. However, …

A Substrate Scheduler for Compiling Arbitrary Fault-tolerant Graph States

2023 · arXiv (Cornell University)

Graph states are useful computational resources in quantum computing, particularly in measurement-based quantum computing models. However, compiling arbitrary graph states into executable form for fault-tolerant surface code execution and accurately estimating the compilation cost and …