16 citations · 18 across the 3 of their papers we have counts for
3 papers
stat.CO2011
On the rank-one approximation of symmetric tensors
Michael James O'Hara
The problem of symmetric rank-one approximation of symmetric tensors is important in Independent Components Analysis, also known as Blind Source Separation, as well as polynomial o…
quant-ph2008★ 2 cited
Quadratic fermionic interactions yield effective Hamiltonians for adiabatic quantum computing
Michael J. O'Hara, Dianne P. O'Leary
Polynomially-large ground-state energy gaps are rare in many-body quantum systems, but useful for adiabatic quantum computing. We show analytically that the gap is generically poly…
quant-ph2008★ 16 cited
The adiabatic theorem in the presence of noise
Michael J. O'Hara, Dianne P. O'Leary
We provide rigorous bounds for the error of the adiabatic approximation of quantum mechanics under four sources of experimental error: perturbations in the initial condition, syste…