We give a formal algebraic description of Josephson-type quantum dynamical systems, i.e., Hamiltonian systems with a cos -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.
Quantum logical states and operators for Josephson-like systems / FAORO L; RAFFA F. A; RASETTI M.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 39:5(2006), pp. L111-L118. [10.1088/0305-4470/39/5/L01]
|Titolo:||Quantum logical states and operators for Josephson-like systems|
|Data di pubblicazione:||2006|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1088/0305-4470/39/5/L01|
|Appare nelle tipologie:||1.1 Articolo in rivista|