39 citations · 107 across the 18 of their papers we have counts for
18 papers
Grobner Bases for Finite-temperature Quantum Computing and their Complexity
P. R. Crompton
Following the recent approach of using order domains to construct Grobner bases from general projective varieties, we examine the parity and time-reversal arguments relating de Wit…
The Decoherence of the Electron Spin Polarization and Meta-stability of Nuclei in Diamond
P. R. Crompton
Following the recent successful formation and manipulation of entangled atoms on the surface of Diamond we calculate the decoherence of the electron spin polarization in D…
The Partition Function Zeroes of Quantum Critical Points
P. R. Crompton
The Lee-Yang theorem for the zeroes of the partition function is not strictly applicable to quantum systems because the zeroes are defined in units of the fugacity , and t…
Lorentz Covariance and the Dimensional Crossover of 2d-Antiferromagnets
P. R. Crompton
We derive a lattice -function for the 2d-Antiferromagnetic Heisenberg model, which allows the lattice interaction couplings of the nonperturbative Quantum Monte Carlo vacuum to…
The Quantum Noise of Ferromagnetic -Bloch Domain Walls
P. R. Crompton
We quantify the probability per unit Euclidean-time of reversing the magnetization of a -Bloch vector, which describes the Ferromagnetic Domain Walls of a Ferromagnetic Nanowire…
Nonperturbative Renormalization of the Heisenberg Spin-1/2 Antiferromagnet on the Square Lattice
P. R. Crompton
We investigate the critical scaling of the spin-1/2 antiferromagnet on the square lattice in the easy-plane (XXZ) regime, via numerical measurements of the entanglement entropy con…