Daochen Wang

TL;DR: In this article, the authors propose a method to calculate excited state energies of electronic structure Hamiltonians using overlap estimation, which requires the same number of qubits as the variational quantum eigenvalue solver (VQE) and at most twice the circuit depth.

TL;DR: A generalized VQE algorithm is proposed that interpolates between these two regimes via a free parameter α∈[0,1], which can exploit quantum coherence over a circuit depth of O(1/ε^{α}) to reduce the number of samples to O( 1/ε-α) and give a new routine for expectation estimation under limited quantum resources that is of independent interest.

TL;DR: In this article, the authors propose a method to calculate excited state energies of electronic structure Hamiltonians using overlap estimation, which requires the same number of qubits as the variational quantum eigenvalue solver (VQE) and at most twice the circuit depth.

TL;DR: In this article, the authors proposed a collecting strategy that exploits the weighting of each Pauli operator in the overall sum, and showed that this strategy outperforms four conventional greedy colouring algorithms that seek the minimum number of collections.