8 papers
Preconditioned Block Encodings for Quantum Linear Systems
Leigh Lapworth, Christoph Sünderhauf
Quantum linear system solvers like the Quantum Singular Value Transformation (QSVT) require a block encoding of the system matrix within a unitary operator . Unfortunately…
The Electronic Structure of the Hydrogen Molecule: A Tutorial Exercise in Classical and Quantum Computation
Vincent Graves, Christoph Sünderhauf, Nick S. Blunt +2
In this educational paper, we will discuss calculations on the hydrogen molecule both on classical and quantum computers. In the former case, we will discuss the calculation of mol…
Complementary polynomials in quantum signal processing
Bjorn K. Berntson, Christoph Sünderhauf
Quantum signal processing is a framework for implementing polynomial functions on quantum computers. To implement a given polynomial , one must first construct a corresponding c…
Quantum state preparation via piecewise QSVT
Oliver O'Brien, Christoph Sünderhauf
Efficient state preparation is essential for implementing efficient quantum algorithms. Whilst several techniques for low-cost state preparation exist, this work facilitates furthe…
Quantum Computation of Electronic Structure with Projector Augmented-Wave Method and Plane Wave Basis Set
Aleksei V. Ivanov, Andrew Patterson, Marius Bothe +6
Quantum simulation of materials is a promising application area of quantum computers. To practically realize this promise, we must reduce quantum resources while maintaining accura…
Two exact quantum signal processing results
Bjorn K. Berntson, Christoph Sünderhauf
Quantum signal processing (QSP) is a framework for implementing certain polynomial functions via quantum circuits. To construct a QSP circuit, one needs (i) a target polynomial $P(…