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Phase Estimation of Local Hamiltonians on NISQ Hardware
Laura Clinton, Johannes Bausch, Joel Klassen +1
In this work we investigate a binned version of Quantum Phase Estimation (QPE) set out by [Somma 2019] and known as the Quantum Eigenvalue Estimation Problem (QEEP). Specifically,…
The Complexity of Approximating Critical Points of Quantum Phase Transitions
James D. Watson, Johannes Bausch
Phase diagrams chart material properties with respect to one or more external or internal parameters such as pressure or magnetisation; as such, they play a fundamental role in man…
Scalable Benchmarks for Gate-Based Quantum Computers
Arjan Cornelissen, Johannes Bausch, András Gilyén
In the near-term "NISQ"-era of noisy, intermediate-scale, quantum hardware and beyond, reliably determining the quality of quantum devices becomes increasingly important: users nee…
General conditions for universality of Quantum Hamiltonians
Tamara Kohler, Stephen Piddock, Johannes Bausch +1
Recent work has demonstrated the existence of universal Hamiltonians - simple spin lattice models that can simulate any other quantum many body system to any desired level of accur…