[HTML][HTML] The variational quantum eigensolver: a review of methods and best practices
The variational quantum eigensolver (or VQE), first developed by Peruzzo et al.(2014), has
received significant attention from the research community in recent years. It uses the …
received significant attention from the research community in recent years. It uses the …
Variational quantum algorithms
Applications such as simulating complicated quantum systems or solving large-scale linear
algebra problems are very challenging for classical computers, owing to the extremely high …
algebra problems are very challenging for classical computers, owing to the extremely high …
Perspective on the current state-of-the-art of quantum computing for drug discovery applications
Computational chemistry is an essential tool in the pharmaceutical industry. Quantum
computing is a fast evolving technology that promises to completely shift the computational …
computing is a fast evolving technology that promises to completely shift the computational …
Quantum state preparation with optimal circuit depth: Implementations and applications
Quantum state preparation is an important subroutine for quantum computing. We show that
any n-qubit quantum state can be prepared with a Θ (n)-depth circuit using only single-and …
any n-qubit quantum state can be prepared with a Θ (n)-depth circuit using only single-and …
Hartree-Fock on a superconducting qubit quantum computer
Google AI Quantum and Collaborators*†, F Arute… - Science, 2020 - science.org
The simulation of fermionic systems is among the most anticipated applications of quantum
computing. We performed several quantum simulations of chemistry with up to one dozen …
computing. We performed several quantum simulations of chemistry with up to one dozen …
Theory of trotter error with commutator scaling
The Lie-Trotter formula, together with its higher-order generalizations, provides a direct
approach to decomposing the exponential of a sum of operators. Despite significant effort …
approach to decomposing the exponential of a sum of operators. Despite significant effort …
Quantum chemistry in the age of quantum computing
Practical challenges in simulating quantum systems on classical computers have been
widely recognized in the quantum physics and quantum chemistry communities over the …
widely recognized in the quantum physics and quantum chemistry communities over the …
Even more efficient quantum computations of chemistry through tensor hypercontraction
We describe quantum circuits with only O~(N) Toffoli complexity that block encode the
spectra of quantum chemistry Hamiltonians in a basis of N arbitrary (eg, molecular) orbitals …
spectra of quantum chemistry Hamiltonians in a basis of N arbitrary (eg, molecular) orbitals …
Quantum computational chemistry
One of the most promising suggested applications of quantum computing is solving
classically intractable chemistry problems. This may help to answer unresolved questions …
classically intractable chemistry problems. This may help to answer unresolved questions …
[HTML][HTML] How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits
We significantly reduce the cost of factoring integers and computing discrete logarithms in
finite fields on a quantum computer by combining techniques from Shor 1994, Griffiths-Niu …
finite fields on a quantum computer by combining techniques from Shor 1994, Griffiths-Niu …