3 papers
quant-ph2024
High order schemes for solving partial differential equations on a quantum computer
Boris Arseniev, Dmitry Guskov, Richik Sengupta +1
We explore the utilization of higher-order discretization techniques in optimizing the gate count needed for quantum computer based solutions of partial differential equations. To…
quant-ph2024
Distributed quantum logic algorithm
Boris Arseniev
Parallel computation enables multiple processors to execute different parts of a task simultaneously, improving processing speed and efficiency. In quantum computing, parallel gate…
quant-ph2023
Tridiagonal matrix decomposition for Hamiltonian simulation on a quantum computer
Boris Arseniev, Dmitry Guskov, Richik Sengupta +2
The construction of quantum circuits to simulate Hamiltonian evolution is central to many quantum algorithms. State-of-the-art circuits are based on oracles whose implementation is…