Quantum Logical States and Operators for Josephson-like Systems
Abstract
We give a formal algebraic description of Josephson-type quantum dynamical systems, i.e., Hamiltonian systems with a cos theta-like potential term. The two-boson Heisenberg algebra plays for such systems the role that the h(1) algebra does for the harmonic oscillator. A single Josephson junction is selected as a representative of Josephson systems. We construct both logical states (codewords) and logical (gate) operators in the superconductive regime. The codewords are the even and odd coherent states of the two-boson algebra: they are shift-resistant and robust, due to squeezing. The logical operators acting on the qubit codewords are expressed in terms of operators in the enveloping of the two-boson algebra. Such a scheme appears to be relevant for quantum information applications.
Cite
@article{arxiv.cond-mat/0502503,
title = {Quantum Logical States and Operators for Josephson-like Systems},
author = {Lara Faoro and Francesco A. Raffa and Mario Rasetti},
journal= {arXiv preprint arXiv:cond-mat/0502503},
year = {2008}
}
Comments
12 pages in RevTex. In press, Journal of Physics A/Letters