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, Francesco Antonino; Rasetti, Mario. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 39:5(2006), pp. L111-L118. [10.1088/0305-4470/39/5/L01]

Quantum logical states and operators for Josephson-like systems

RAFFA, Francesco Antonino;RASETTI, Mario
2006

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1405338
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