19 citations · 19 across the 3 of their papers we have counts for
4 papers · 1 filter
On the numerical limitations of dual Koopman von Neumann embeddings for solving conservative nonlinear ordinary differential equations on quantum computers
Thibault Fredon, Abhay K. Ram, Fabrice Debbasch +2
The simulation of nonlinear ordinary differential equations on quantum computers is inherently challenging, as quantum gates are linear operators on qubit states. In this paper, we…
Trotter-based quantum algorithm for solving transport equations with exponentially fewer time-steps
Julien Zylberman, Thibault Fredon, Nuno F. Loureiro +1
The extent to which quantum computers can simulate physical phenomena and solve the partial differential equations (PDEs) that govern them remains a central open question. In this…
Efficient Quantum Circuits for Non-Unitary and Unitary Diagonal Operators with Space-Time-Accuracy trade-offs
Julien Zylberman, Ugo Nzongani, Andrea Simonetto +1
Unitary and non-unitary diagonal operators are fundamental building blocks in quantum algorithms with applications in the resolution of partial differential equations, Hamiltonian…
Polylogarithmic-depth controlled-NOT gates without ancilla qubits
Baptiste Claudon, Julien Zylberman, César Feniou +3
Controlled operations are fundamental building blocks of quantum algorithms. Decomposing -control-NOT gates () into arbitrary single-qubit and CNOT gates, is a crucial b…