175 citations · 695 across the 9 of their papers we have counts for
10 papers
Complete Characterization of Mixing Time for the Continuous Quantum Walk on the Hypercube with Markovian Decoherence Model
Milosh Drezgich, Andrew P. Hines, Mohan Sarovar +1
The n-dimensional hypercube quantum random walk (QRW) is a particularily appealing example of a quantum walk because it has a natural implementation on a register on qubits. Ho…
Decoherence and dissipation of a quantum harmonic oscillator coupled to two-level systems
Maximilian Schlosshauer, Andrew P. Hines, Gerard J. Milburn
We derive and analyze the Born-Markov master equation for a quantum harmonic oscillator interacting with a bath of independent two-level systems. This hitherto virtually unexplored…
Decoherence in quantum walks and quantum computers
Andrew P. Hines, P. C. E. Stamp
Decoherence is the major stumbling block in the realization of a large-scale quantum computer. Ingenious methods have been devised to overcome decoherence, but their success has be…
Quantum Walks, Quantum Gates and Quantum Computers
Andrew P. Hines, P. C. E. Stamp
The physics of quantum walks on graphs is formulated in Hamiltonian language, both for simple quantum walks and for composite walks, where extra discrete degrees of freedom live at…
Quantum computing and polynomial equations over the finite field Z_2
Christopher M. Dawson, Henry L. Haselgrove, Andrew P. Hines +3
What is the computational power of a quantum computer? We show that determining the output of a quantum computation is equivalent to counting the number of solutions to an easily c…
Entanglement Sharing and Decoherence in the Spin-Bath
Christopher M. Dawson, Andrew P. Hines, Ross H. McKenzie +1
The monogamous nature of entanglement has been illustrated by the derivation of entanglement sharing inequalities - bounds on the amount of entanglement that can be shared amongst…