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quant-ph2025
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…
quant-ph2024
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…
quant-ph2023
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…