activity
20192025
most citedHow to Efficiently Handle Complex Values? Implementing Decision Diagrams for Quantum Computing

76 citations · 276 across the 15 of their papers we have counts for

collaborators

16 papers

quant-ph2025

Node Replacement based Approximate Quantum Simulation with Decision Diagrams

Yexin Yan, Stefan Hillmich, Robert Wille +1

Simulating a quantum circuit with a classical computer requires exponentially growing resources. Decision diagrams exploit the redundancies in quantum circuit representation to eff…

quant-ph2024★ 4 cited

Mixed-Dimensional Qudit State Preparation Using Edge-Weighted Decision Diagrams

Kevin Mato, Stefan Hillmich, Robert Wille

Quantum computers have the potential to solve important problems which are fundamentally intractable on a classical computer. The underlying physics of quantum computing platforms…

quant-ph2024★ 1 cited

Shuttling for Scalable Trapped-Ion Quantum Computers

Daniel Schoenberger, Stefan Hillmich, Matthias Brandl +1

Trapped-ion quantum computers exhibit promising potential to provide platforms for high-quality qubits and reliable quantum computation. The Quantum Charge Coupled Device (QCCD) ar…

quant-ph2023

Using Boolean Satisfiability for Exact Shuttling in Trapped-Ion Quantum Computers

Daniel Schoenberger, Stefan Hillmich, Matthias Brandl +1

Trapped ions are a promising technology for building scalable quantum computers. Not only can they provide a high qubit quality, but they also enable modular architectures, referre…

quant-ph2023★ 1 cited

Mixed-Dimensional Quantum Circuit Simulation with Decision Diagrams

Kevin Mato, Stefan Hillmich, Robert Wille

Quantum computers promise to solve several categories of problems faster than classical computers ever could. Current research mostly focuses on qubits, i.e., systems where the uni…

quant-ph2023★ 23 cited

Decision Diagrams for Quantum Computing

Robert Wille, Stefan Hillmich, Lukas Burgholzer

Quantum computing promises to solve some important problems faster than conventional computations ever could. Currently available NISQ devices on which first practical applications…

quant-ph2023★ 6 cited

Compilation of Entangling Gates for High-Dimensional Quantum Systems

Kevin Mato, Martin Ringbauer, Stefan Hillmich +1

Most quantum computing architectures to date natively support multi-valued logic, albeit being typically operated in a binary fashion. Multi-valued, or qudit, quantum processors ha…

quant-ph2023★ 10 cited

The Basis of Design Tools for Quantum Computing: Arrays, Decision Diagrams, Tensor Networks, and ZX-Calculus

Robert Wille, Lukas Burgholzer, Stefan Hillmich +3

Quantum computers promise to efficiently solve important problems classical computers never will. However, in order to capitalize on these prospects, a fully automated quantum soft…

quant-ph2022★ 10 cited

Adaptive Compilation of Multi-Level Quantum Operations

Kevin Mato, Martin Ringbauer, Stefan Hillmich +1

Quantum computers have the potential to solve some important industrial and scientific problems with greater efficiency than classical computers. While most current realizations fo…

quant-ph2021★ 32 cited

Tools for Quantum Computing Based on Decision Diagrams

Robert Wille, Stefan Hillmich, Lukas Burgholzer

With quantum computers promising advantages even in the near-term NISQ era, there is a lively community that develops software and toolkits for the design of corresponding quantum…

quant-ph2021★ 33 cited

Decision Diagrams for Quantum Measurements with Shallow Circuits

Stefan Hillmich, Charles Hadfield, Rudy Raymond +2

We consider the problem of estimating quantum observables on a collection of qubits, given as a linear combination of Pauli operators, with shallow quantum circuits consisting of s…

quant-ph2020★ 16 cited

As Accurate as Needed, as Efficient as Possible: Approximations in DD-based Quantum Circuit Simulation

Stefan Hillmich, Richard Kueng, Igor L. Markov +1

Quantum computers promise to solve important problems faster than conventional computers. However, unleashing this power has been challenging. In particular, design automation runs…

quant-ph2020★ 29 cited

Exploiting Quantum Teleportation in Quantum Circuit Mapping

Stefan Hillmich, Alwin Zulehner, Robert Wille

Quantum computers are constantly growing in their number of qubits, but continue to suffer from restrictions such as the limited pairs of qubits that may interact with each other.…

quant-ph2020★ 25 cited

Just Like the Real Thing: Fast Weak Simulation of Quantum Computation

Stefan Hillmich, Igor L. Markov, Robert Wille

Quantum computers promise significant speedups in solving problems intractable for conventional computers but, despite recent progress, remain limited in scaling and availability.…

quant-ph2020★ 10 cited

Approximation of Quantum States Using Decision Diagrams

Alwin Zulehner, Stefan Hillmich, Igor L. Markov +1

The computational power of quantum computers poses major challenges to new design tools since representing pure quantum states typically requires exponentially large memory. As sho…

quant-ph2019★ 76 cited

How to Efficiently Handle Complex Values? Implementing Decision Diagrams for Quantum Computing

Alwin Zulehner, Stefan Hillmich, Robert Wille

Quantum computing promises substantial speedups by exploiting quantum mechanical phenomena such as superposition and entanglement. Corresponding design methods require efficient me…