[HTML][HTML] Review and perspectives in quantum computing for partial differential equations in structural mechanics
Structural mechanics is commonly modeled by (systems of) partial differential equations
(PDEs). Except for very simple cases where analytical solutions exist, the use of numerical …
(PDEs). Except for very simple cases where analytical solutions exist, the use of numerical …
A theory of quantum differential equation solvers: limitations and fast-forwarding
We study the limitations and fast-forwarding of quantum algorithms for linear ordinary
differential equation (ODE) systems with a particular focus on non-quantum dynamics …
differential equation (ODE) systems with a particular focus on non-quantum dynamics …
[PDF][PDF] Quantum and classical query complexities of functions of matrices
Let A be an s-sparse Hermitian matrix, f (x) be a univariate function, and i, j be two indices. In
this work, we investigate the query complexity of approximating if (A) j. We show that for any …
this work, we investigate the query complexity of approximating if (A) j. We show that for any …
Accelerating quantum algorithms with precomputation
Real-world applications of computing can be extremely time-sensitive. It would be valuable if
we could accelerate such tasks by performing some of the work ahead of time. Motivated by …
we could accelerate such tasks by performing some of the work ahead of time. Motivated by …
Quantum interior point methods for semidefinite optimization
We present two quantum interior point methods for semidefinite optimization problems,
building on recent advances in quantum linear system algorithms. The first scheme, more …
building on recent advances in quantum linear system algorithms. The first scheme, more …
On solving classes of positive-definite quantum linear systems with quadratically improved runtime in the condition number
Quantum algorithms for solving the Quantum Linear System (QLS) problem are among the
most investigated quantum algorithms of recent times, with potential applications including …
most investigated quantum algorithms of recent times, with potential applications including …
Reducing runtime and error in VQE using deeper and noisier quantum circuits
The rapid development of noisy intermediate-scale quantum (NISQ) devices has raised the
question of whether or not these devices will find commercial use. Unfortunately, a major …
question of whether or not these devices will find commercial use. Unfortunately, a major …
Qsun: an open-source platform towards practical quantum machine learning applications
Currently, quantum hardware is restrained by noises and qubit numbers. Thus, a quantum
virtual machine (QVM) that simulates operations of a quantum computer on classical …
virtual machine (QVM) that simulates operations of a quantum computer on classical …
A near-term quantum algorithm for solving linear systems of equations based on the woodbury identity
Quantum algorithms for solving linear systems of equations have generated excitement
because of the potential speed-ups involved and the importance of solving linear equations …
because of the potential speed-ups involved and the importance of solving linear equations …
Variational Quantum Chemistry Programs in JaqalPaq
We present example quantum chemistry programs written with JaqalPaq, a python meta-
programming language used to code in Jaqal (Just Another Quantum Assembly Language) …
programming language used to code in Jaqal (Just Another Quantum Assembly Language) …