activity
20012007
most citedA geometric basis for the standard-model gauge group

52 citations · 214 across the 13 of their papers we have counts for

collaborators

13 papers

quant-ph2007★ 9 cited

Quantum/Classical Interface: Fermion Spin

W. E. Baylis, R. Cabrera, D. Keselica

Although intrinsic spin is usually viewed as a purely quantum property with no classical analog, we present evidence here that fermion spin has a classical origin rooted in the geo…

quant-ph2007★ 8 cited

Overcoming the su(2^n) sufficient condition for the coherent control of n-qubit systems

R. Cabrera, C. Rangan, W. E. Baylis

We study quantum systems with even numbers N of levels that are completely state-controlled by unitary transformations generated by Lie algebras isomorphic to sp(N) of dimension N(…

quant-ph2007★ 28 cited

Average Fidelity in n-Qubit systems

R. Cabrera, W. E. Baylis

This letter generalizes the expression for the average fidelity of single qubits, as found by Bowdrey et al., to the case of n qubits. We use a simple algebraic approach with basis…

quant-ph2006★ 1 cited

Control and Representation of n-qubit Quantum Systems

W. E. Baylis, R. Cabrera, C. Rangan

Just as any state of a single qubit or 2-level system can be obtained from any other state by a rotation operator parametrized by three real Euler angles, we show how any state of…

physics.class-ph2004★ 2 cited

Surprising Symmetries in Relativistic Charge Dynamics

William E. Baylis

The eigenspinor approach uses the classical amplitude of the algebraic Lorentz rotation connecting the lab and rest frames to study the relativistic motion of particles. It suggest…

quant-ph2004★ 22 cited

Angular momentum and the geometrical gauge of localized photon staes

Margaret Hawton, William E. Baylis

Localized photon states have non-zero angular momentum that varies with the non-unique choice of a transverse basis and is changed by gauge transformations of the geometric vector…