6 papers
A Quantum Algorithm with Polylogarithmic Depth per Trotter Step for the Extended Hubbard Model
Yu Wang, Martina Nibbi, Maxine Luo +4
The extended Hubbard model on a two-dimensional lattice captures key physical phenomena, but its simulation remains challenging because long-range interactions give rise to a large…
Practical block encodings of matrix polynomials that can also be trivially controlled
Martina Nibbi, Filippo Della Chiara, Yizhi Shen +2
Quantum circuits naturally implement unitary operations on input quantum states. However, non-unitary operations can also be implemented through block encodings, where additional a…
Extending Quantum Computing through Subspace, Embedding and Classical Molecular Dynamics Techniques
Thomas M. Bickley, Angus Mingare, Tim Weaving +10
The advent of hybrid computing platforms consisting of quantum processing units integrated with conventional high-performance computing brings new opportunities for algorithm desig…
Efficient LCU block encodings through Dicke states preparation
Filippo Della Chiara, Martina Nibbi, Yizhi Shen +1
With the Quantum Singular Value Transformation (QSVT) emerging as a unifying framework for diverse quantum speedups, the efficient construction of block encodings -- their fundamen…
Wavefunction optimization at the complete basis set limit with Multiwavelets and DMRG
Martina Nibbi, Luca Frediani, Evgueni Dinvay +1
The density matrix renormalization group (DMRG) is a powerful numerical technique to solve strongly correlated quantum systems: it deals well with systems which are not dominated b…
Block encoding of matrix product operators
Martina Nibbi, Christian B. Mendl
Quantum signal processing combined with quantum eigenvalue transformation has recently emerged as a unifying framework for several quantum algorithms. In its standard form, it cons…