[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 …
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 …
Solving nonlinear differential equations with differentiable quantum circuits
We propose a quantum algorithm to solve systems of nonlinear differential equations. Using
a quantum feature map encoding, we define functions as expectation values of parametrized …
a quantum feature map encoding, we define functions as expectation values of parametrized …
Quantum agents in the gym: a variational quantum algorithm for deep q-learning
Quantum machine learning (QML) has been identified as one of the key fields that could
reap advantages from near-term quantum devices, next to optimization and quantum …
reap advantages from near-term quantum devices, next to optimization and quantum …
Large gradients via correlation in random parameterized quantum circuits
Scaling of variational quantum algorithms to large problem sizes requires efficient
optimization of random parameterized quantum circuits. For such circuits with uncorrelated …
optimization of random parameterized quantum circuits. For such circuits with uncorrelated …
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 …
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 …
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 …
The localized active space method with unitary selective coupled cluster
We introduce a hybrid quantum-classical algorithm, the localized active space unitary
selective coupled cluster singles and doubles (LAS-USCCSD) method. Derived from the …
selective coupled cluster singles and doubles (LAS-USCCSD) method. Derived from the …
Correlation-informed permutation of qubits for reducing ansatz depth in the variational quantum eigensolver
The variational quantum eigensolver (VQE) is a method of choice to solve the electronic
structure problem for molecules on near-term gate-based quantum computers. However, the …
structure problem for molecules on near-term gate-based quantum computers. However, the …