Abstract
In the context of a generalized quantum theorywhich admits maximal symmetric operators as observables,we discuss a quantization scheme which cansystematically deal with what may be called quantumcircuits. The scheme, known as the method of quantizationby parts, has recently been applied to obtain a newderivation of the Josephson equation for thesupercurrent through a Josephson junction in asuperconducting circuit. This paper presents an application ofthis scheme to several circuit configurations, namely,from one branch to many-branch circuits. We also proposean experimental test on whether the condensate is always in a pure state, using a three-branchY-shape circuit.
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Wan, K.K., Fountain, R.H. Quantization by Parts, Maximal Symmetric Operators, and Quantum Circuits. International Journal of Theoretical Physics 37, 2153–2186 (1998). https://doi.org/10.1023/A:1026698104590
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DOI: https://doi.org/10.1023/A:1026698104590