Equivalent Hamiltonians for State to State Transfer in the Case of Partial Quantum Control

Chandrasekhar Ramanathan; David G. Cory; Ian N. Hincks

arxiv: 1111.0944 · v1 · pith:MY2M4N7Hnew · submitted 2011-11-03 · 🪐 quant-ph

Equivalent Hamiltonians for State to State Transfer in the Case of Partial Quantum Control

Ian N. Hincks , David G. Cory , Chandrasekhar Ramanathan This is my paper

classification 🪐 quant-ph

keywords statedesiredhamiltonianhamiltonianscharacterizationcontrolactionalgebra

0 comments

read the original abstract

Given a fixed initial state, a desired Hamiltonian, and an amount of time, we provide a complete characterization of the set of Hamiltonians which perform the same action as the desired Hamiltonian on the state of interest. An example is provided where the desired Hamiltonian lies outside of the control Lie algebra, but implementable Hamiltonians exist within the characterization.

This paper has not been read by Pith yet.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Engineering Precise and Robust Effective Hamiltonians
quant-ph 2025-06 unverdicted novelty 6.0

A framework is presented for designing robust and precise effective Hamiltonians by identifying the minimal toggling-frame subspace and the complete set of achievable zeroth-order terms.