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15 papers · 2 filters
Laplacian versus Adjacency Matrix in Quantum Walk Search
Thomas G. Wong, Luís Tarrataca, Nikolay Nahimov
A quantum particle evolving by Schrödinger's equation contains, from the kinetic energy of the particle, a term in its Hamiltonian proportional to Laplace's operator. In discrete s…
Longitudinal spin-relaxation in nitrogen-vacancy centers in electron irradiated diamond
A. Jarmola, A. Berzins, J. Smits +7
We present systematic measurements of longitudinal relaxation rates () of spin polarization in the ground state of the nitrogen-vacancy (NV) color center in synthetic di…
Doubling the Success of Quantum Walk Search Using Internal-State Measurements
Krišjānis Prūsis, Jevgēnijs Vihrovs, Thomas G. Wong
In typical discrete-time quantum walk algorithms, one measures the position of the walker while ignoring its internal spin/coin state. Rather than neglecting the information in thi…
Quantum Advantages in (n,d)->1 Random Access Codes
Andris Ambainis, Dmitry Kravchenko, Sk Sazim +2
A random access code (RAC), corresponding to a communication primitive with various applications in quantum information theory, is an instance of a preparation-and-measurement scen…
Exceptional configurations of quantum walks with Grover's coin
Nikolajs Nahimovs, Alexander Rivosh
We study search by quantum walk on a two-dimensional grid using the algorithm of Ambainis, Kempe and Rivosh [AKR05]. We show what the most natural coin transformation - Grover's di…
Quantum Walk on the Line through Potential Barriers
Thomas G. Wong
Quantum walks are well-known for their ballistic dispersion, traveling away in steps, which is quadratically faster than a classical random walk's diffusive spreading. I…