7 papers · 1 filter
Efficient Strategies for Reducing Sampling Error in Quantum Krylov Subspace Diagonalization
Gwonhak Lee, Seonghoon Choi, Joonsuk Huh +1
Within the realm of early fault-tolerant quantum computing (EFTQC), quantum Krylov subspace diagonalization (QKSD) has emerged as a promising quantum algorithm for the approximate…
Quantum computer formulation of the FKP-operator eigenvalue problem for probabilistic learning on manifolds
Christian Soize, Loïc Joubert-Doriol, Artur F. Izmaylov
We present a quantum computing formulation to address a challenging problem in the development of probabilistic learning on manifolds (PLoM). It involves solving the spectral probl…
Global Minimization of Electronic Hamiltonian 1-Norm via Linear Programming in the Block Invariant Symmetry Shift (BLISS) Method
Smik Patel, Aritra Sankar Brahmachari, Joshua T. Cantin +2
The cost of encoding a system Hamiltonian in a digital quantum computer as a linear combination of unitaries (LCU) grows with the 1-norm of the LCU expansion. The Block Invariant S…
Simulating Vibrational Dynamics on Bosonic Quantum Devices
Shreyas Malpathak, Sangeeth Das Kallullathil, Artur F. Izmaylov
Bosonic quantum devices, which utilize harmonic oscillator modes to encode information, are emerging as a promising alternative to conventional qubit-based quantum devices, especia…
Majorana Tensor Decomposition: A unifying framework for decompositions of fermionic Hamiltonians to Linear Combination of Unitaries
Ignacio Loaiza, Aritra Sankar Brahmachari, Artur F. Izmaylov
Linear combination of unitaries (LCU) decompositions have appeared as one of the main tools for encoding operators on quantum computers, allowing efficient implementations of arbit…
Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions
Yuri Alexeev, Maximilian Amsler, Paul Baity +124
Computational models are an essential tool for the design, characterization, and discovery of novel materials. Hard computational tasks in materials science stretch the limits of e…