68 citations · 178 across the 9 of their papers we have counts for
10 papers
Optimal four-copy detection of the three-tangle and its fault-tolerant cost
Federico Tomás B. Pérez, Berta Casas, I-Chi Chen +3
The three-tangle, , is a measure of genuine tripartite entanglement that distinguishes GHZ-type from W-type entanglement in pure three-qubit states. Here, we identify the stat…
Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections
Philipp Schleich, Tyler Kharazi, Xiangyu Li +3
Complicated boundary conditions are essential to accurately describe phenomena arising in nature and engineering. Recently, the investigation of a potential speedup through quantum…
Quantum Linear System Solvers: A Survey of Algorithms and Applications
Mauro E. S. Morales, Lirandë Pira, Philipp Schleich +7
Solving linear systems of equations plays a fundamental role in numerous computational problems from different fields of science. The widespread use of numerical methods to solve t…
Faster Algorithmic Quantum and Classical Simulations by Corrected Product Formulas
Mohsen Bagherimehrab, Luis Mantilla Calderon, Dominic W. Berry +6
Hamiltonian simulation using product formulas is arguably the most straightforward and practical approach for algorithmic simulation of a quantum system's dynamics on a quantum com…
Chemically Motivated Simulation Problems are Efficiently Solvable by a Quantum Computer
Philipp Schleich, Lasse Bjørn Kristensen, Jorge A. Campos Gonzalez Angulo +6
Simulating chemical systems is highly sought after and computationally challenging, as the number of degrees of freedom increases exponentially with the size of the system. Quantum…
Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling
Pedro C. S. Costa, Philipp Schleich, Mauro E. S. Morales +1
The solution of large systems of nonlinear differential equations is needed for many applications in science and engineering. In this study, we present three main improvements to e…