32 citations · 111 across the 27 of their papers we have counts for
7 papers · 1 filter
Quantum Register Algebra: the mathematical language for quantum computing
Jaroslav Hrdina, Dietmar Hildenbrand, Aleš Návrat +5
We introduce Quantum Register Algebra (QRA) as an efficient tool for quantum computing. We show the direct link between QRA and Dirac formalism. We present GAALOP (Geometric Algebr…
A Quantum Approach to the Discretizable Molecular Distance Geometry Problem
Carlile Lavor, Franklin Marquezino, Andres Oliveira +1
The Discretizable Molecular Distance Geometry Problem (DMDGP) aims to determine the three-dimensional protein structure using distance information from nuclear magnetic resonance e…
Quantum State Tomography with incomplete data: Maximum Entropy and Variational Quantum Tomography
D. S. Gonçalves, C. Lavor, M. A. Gomes-Ruggiero +3
Whenever we do not have an informationally complete set of measurements, the estimate of a quantum state can not be uniquely determined. In this case, among the density matrices co…
Local solutions of Maximum Likelihood Estimation in Quantum State Tomography
Douglas S. Gonçalves, Márcia A. Gomes-Ruggiero, Carlile Lavor +2
Maximum likelihood estimation is one of the most used methods in quantum state tomography, where the aim is to reconstruct the density matrix of a physical system from measurement…
Comments on quant-ph/0506137: Fast quantum search algorithms by qubit comparisons exploiting global phase interference
L. A. B. Kowada, C. M. H. de Figueiredo, R. Portugal +1
Recently, Andreas de Vries proposed a quantum algorithm that would find an element in an unsorted database exponentially faster than Grover's algorithm. We show that de Vries' algo…
Shor's Algorithm for Factoring Large Integers
C. Lavor, L. R. U. Manssur, R. Portugal
This work is a tutorial on Shor's factoring algorithm by means of a worked out example. Some basic concepts of Quantum Mechanics and quantum circuits are reviewed. It is intended f…