4 papers
Quasi-optimal quantum Markov chain spectral gap estimation
Adam Connolly, Steven Herbert, Julien Sorci
This paper proposes a quantum algorithm for Markov chain spectral gap estimation that is quasi-optimal (i.e., optimal up to a polylogarithmic factor) in the number of vertices for…
Quantum Monte Carlo Integration for Simulation-Based Optimisation
Jingjing Cui, Philippe J. S. de Brouwer, Steven Herbert +7
We investigate the feasibility of integrating quantum algorithms as subroutines of simulation-based optimisation problems with relevance to and potential applications in mathematic…
Comparing quantum and classical Monte Carlo algorithms for estimating Betti numbers of clique complexes
Ismail Yunus Akhalwaya, Ahmed Bhayat, Adam Connolly +4
Several quantum and classical Monte Carlo algorithms for Betti Number Estimation (BNE) on clique complexes have recently been proposed, though it is unclear how their performances…
Almost-Optimal Computational Basis State Transpositions
Steven Herbert, Julien Sorci, Yao Tang
We give an explicit construction to perform any -qubit computational basis state transposition using gates. This nearly coincides with the lower bound on…