[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 …
Noisy intermediate-scale quantum algorithms
A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …
integer factorization and unstructured database search requires millions of qubits with low …
A quantum computing view on unitary coupled cluster theory
We present a review of the Unitary Coupled Cluster (UCC) ansatz and related ansätze
which are used to variationally solve the electronic structure problem on quantum …
which are used to variationally solve the electronic structure problem on quantum …
Quantum computing for healthcare: A review
In recent years, the interdisciplinary field of quantum computing has rapidly developed and
garnered substantial interest from both academia and industry due to its ability to process …
garnered substantial interest from both academia and industry due to its ability to process …
Qubit-excitation-based adaptive variational quantum eigensolver
Molecular simulations with the variational quantum eigensolver (VQE) are a promising
application for emerging noisy intermediate-scale quantum computers. Constructing …
application for emerging noisy intermediate-scale quantum computers. Constructing …
Quantum computing of the nucleus via ordered unitary coupled clusters
The variational quantum eigensolver (VQE) is an algorithm to compute ground and excited
state energy of quantum many-body systems. A key component of the algorithm and an …
state energy of quantum many-body systems. A key component of the algorithm and an …
Layer VQE: A variational approach for combinatorial optimization on noisy quantum computers
Combinatorial optimization on near-term quantum devices is a promising path to
demonstrating quantum advantage. However, the capabilities of these devices are …
demonstrating quantum advantage. However, the capabilities of these devices are …
Local, expressive, quantum-number-preserving VQE ansätze for fermionic systems
We propose VQE circuit fabrics with advantageous properties for the simulation of strongly
correlated ground and excited states of molecules and materials under the Jordan–Wigner …
correlated ground and excited states of molecules and materials under the Jordan–Wigner …
Exact electronic states with shallow quantum circuits from global optimisation
Quantum computers promise to revolutionise molecular electronic simulations by
overcoming the exponential memory scaling. While electronic wave functions can be …
overcoming the exponential memory scaling. While electronic wave functions can be …
A feasible approach for automatically differentiable unitary coupled-cluster on quantum computers
We develop computationally affordable and encoding independent gradient evaluation
procedures for unitary coupled-cluster type operators, applicable on quantum computers …
procedures for unitary coupled-cluster type operators, applicable on quantum computers …