5 papers · 1 filter
Optimum phase estimation with two control qubits
Peyman Najafi, Pedro C. S. Costa, Dominic W. Berry
Phase estimation is used in many quantum algorithms, particularly in order to estimate energy eigenvalues for quantum systems. When using a single qubit as the probe (used to contr…
Quantum-to-classical transition via quantum cellular automata
Pedro C. S. Costa
A quantum cellular automaton (QCA) is an abstract model consisting of an array of finite-dimensional quantum systems that evolves in discrete time by local unitary operations. Here…
Compilation of Fault-Tolerant Quantum Heuristics for Combinatorial Optimization
Yuval R. Sanders, Dominic W. Berry, Pedro C. S. Costa +5
Here we explore which heuristic quantum algorithms for combinatorial optimization might be most practical to try out on a small fault-tolerant quantum computer. We compile circuits…
Multiparticle quantum walk with a gas-like interaction
Pedro C. S. Costa, Fernando de Melo, Renato Portugal
We analyze the dynamics of multiparticle discrete-time quantum walk on the two-dimensional lattice, with an interaction inspired on a classical model for gas collision, called HPP…
Quantum Walks via Quantum Cellular Automata
Pedro C. S. Costa, Renato Portugal, Fernando de Melo
Very much as its classical counterpart, quantum cellular automata are expected to be a great tool for simulating complex quantum systems. Here we introduce a partitioned model of q…