Quantum simulation of exact electron dynamics can be more efficient than classical mean-field methods
Quantum algorithms for simulating electronic ground states are slower than popular
classical mean-field algorithms such as Hartree–Fock and density functional theory but offer …
classical mean-field algorithms such as Hartree–Fock and density functional theory but offer …
Quantum algorithms for scientific computing
R Au-Yeung, B Camino, O Rathore… - Reports on Progress in …, 2024 - iopscience.iop.org
Quantum computing promises to provide the next step up in computational power for diverse
application areas. In this review, we examine the science behind the quantum hype, and the …
application areas. In this review, we examine the science behind the quantum hype, and the …
Complexity of implementing Trotter steps
Quantum dynamics can be simulated on a quantum computer by exponentiating elementary
terms from the Hamiltonian in a sequential manner. However, such an implementation of …
terms from the Hamiltonian in a sequential manner. However, such an implementation of …
Quantum algorithms for scientific applications
R Au-Yeung, B Camino, O Rathore… - arxiv preprint arxiv …, 2023 - arxiv.org
Quantum computing promises to provide the next step up in computational power for diverse
application areas. In this review, we examine the science behind the quantum hype and …
application areas. In this review, we examine the science behind the quantum hype and …
Non-linear transformations of quantum amplitudes: Exponential improvement, generalization, and applications
Quantum algorithms manipulate the amplitudes of quantum states to find solutions to
computational problems. In this work, we present a framework for applying a general class of …
computational problems. In this work, we present a framework for applying a general class of …
Strong error bounds for Trotter and strang-splittings and their implications for quantum chemistry
Efficient error estimates for the Trotter product formula are central in quantum computing,
mathematical physics, and numerical simulations. However, the Trotter error's dependency …
mathematical physics, and numerical simulations. However, the Trotter error's dependency …
A Quantum Algorithm from Response Theory: Digital Quantum Simulation of Two-Dimensional Electronic Spectroscopy
Multidimensional optical spectroscopies are powerful techniques to investigate energy
transfer pathways in natural and artificial systems. Because of the high information content of …
transfer pathways in natural and artificial systems. Because of the high information content of …
Exhaustive search for optimal molecular geometries using imaginary-time evolution on a quantum computer
This study proposes a nonvariational scheme for geometry optimization of molecules for the
first-quantized eigensolver, which is a recently proposed framework for quantum chemistry …
first-quantized eigensolver, which is a recently proposed framework for quantum chemistry …
Error bounds for variational quantum time evolution
Variational quantum time evolution allows us to simulate the time dynamics of quantum
systems with near-term compatible quantum circuits. Due to the variational nature of this …
systems with near-term compatible quantum circuits. Due to the variational nature of this …
Qubit encoding for a mixture of localized functions
One of the crucial generic techniques for quantum computation is amplitude encoding.
Although several approaches have been proposed, each of them often requires exponential …
Although several approaches have been proposed, each of them often requires exponential …