Lara Faoro et al 2006 J. Phys. A: Math. Gen. 39 L111 doi:10.1088/0305-4470/39/5/L01
Quantum logical states and operators for Josephson-like systems
FREE ARTICLELara Faoro1, Francesco A Raffa2 and Mario Rasetti3
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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.
- PACS
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03.67.Lx Quantum computation architectures and implementations
- MSC
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81Rxx Groups and algebras in quantum theory
81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
- Subjects
- Dates
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Issue 5 (3 February 2006)
Received 4 November 2005, in final form 14 December 2005
Published 18 January 2006
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Quantum logical states and operators for Josephson-like systems
Lara Faoro et al 2006 J. Phys. A: Math. Gen. 39 L111
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