10 citations · 14 across the 6 of their papers we have counts for
6 papers · 1 filter
No Infinite Tail Beats Optimal Spatial Search
Weichen Xie, Christino Tamon
Farhi and Gutmann (Physical Review A, 57(4):2403, 1998) proved that a continuous-time analogue of Grover search (also called spatial search) is optimal on the complete graphs. We e…
Quantum State Transfer in Graphs with Tails
Pierre-Antoine Bernard, Christino Tamon, Luc Vinet +1
We consider quantum state transfer on finite graphs which are attached to infinite paths. The finite graph represents an operational quantum system for performing useful quantum in…
Breaking the Speed Limit for Perfect Quantum State Transfer
Weichen Xie, Alastair Kay, Christino Tamon
We describe a protocol for perfectly transferring a quantum state from one party to another under the dynamics of a fixed, engineered Hamiltonian. Our protocol combines the concept…
Of Shadows and Gaps in Spatial Search
Ada Chan, Chris Godsil, Christino Tamon +1
Spatial search occurs in a connected graph if a continuous-time quantum walk on the adjacency matrix of the graph, suitably scaled, plus a rank-one perturbation induced by any vert…
A Note on Quantum Markov Models
Christino Tamon, Weichen Xie
The study of Markov models is central to control theory and machine learning. A quantum analogue of partially observable Markov decision process was studied in (Barry, Barry, and A…
A Note on the Speed of Perfect State Transfer
Alastair Kay, Weichen Xie, Christino Tamon
In Phys. Rev. A 74, 030303 (2006), Yung showed that for a one-dimensional spin chain of length and maximum coupling strength , the time for a quantum state to t…