[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 …
Practical quantum advantage in quantum simulation
The development of quantum computing across several technologies and platforms has
reached the point of having an advantage over classical computers for an artificial problem …
reached the point of having an advantage over classical computers for an artificial problem …
Dynamical memristors for higher-complexity neuromorphic computing
Research on electronic devices and materials is currently driven by both the slowing down
of transistor scaling and the exponential growth of computing needs, which make present …
of transistor scaling and the exponential growth of computing needs, which make present …
A race-track trapped-ion quantum processor
We describe and benchmark a new quantum charge-coupled device (QCCD) trapped-ion
quantum computer based on a linear trap with periodic boundary conditions, which …
quantum computer based on a linear trap with periodic boundary conditions, which …
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 …
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 …
The future of quantum computing with superconducting qubits
For the first time in history, we are seeing a branching point in computing paradigms with the
emergence of quantum processing units (QPUs). Extracting the full potential of computation …
emergence of quantum processing units (QPUs). Extracting the full potential of computation …
Quantum algorithms for quantum chemistry and quantum materials science
As we begin to reach the limits of classical computing, quantum computing has emerged as
a technology that has captured the imagination of the scientific world. While for many years …
a technology that has captured the imagination of the scientific world. While for many years …
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 …
[HTML][HTML] Hamiltonian simulation by qubitization
We present the problem of approximating the time-evolution operator $ e^{-i\hat {H} t} $ to
error $\epsilon $, where the Hamiltonian $\hat {H}=(\langle G|\otimes\hat {\mathcal {I}})\hat …
error $\epsilon $, where the Hamiltonian $\hat {H}=(\langle G|\otimes\hat {\mathcal {I}})\hat …