In this paper, we introduce a notion of commutativity between operators on a tensor product space, nominally Pauli strings on qubits, that interpolates between qubit-wise commutativity and (full) commutativity.
In this paper, we introduce a novel measurement-driven approach that finds eigenenergies by collecting real-time measurements and post-processing them using the machinery of dynamic mode decomposition (DMD).
We extend our circuit compression algorithms to free fermionic systems on arbitrary lattices, incorporate particle creation operations, and allow for controlled evolution.
We report a series benchmarks conducted in NERSC's Perlmutter system using a GPU adaptation of QCLAB++, a light-weight, fully-templated C++ package for quantum circuit simulations.