Abstract
AbstractDynamical properties of a resonator can be analyzed using the Rayleigh–Lorentz invariant which is not an exact constant but varies more or less over time depending on variations of parameters. We investigate the time behavior of this invariant for a superconducting nano-resonator in order for better understanding of qubit-information detection with the resonator. Superconducting resonators which uses parametric resonance in a Josephson junction circuit can be utilized in implementing diverse next generation nano-optic and nano-electronic devices such as quantum computing systems. Through the analyses of the temporal evolution of the invariant, we derive a condition for optimal adiabatic qubit-information detection with the resonator. This condition is helpful for controlling the dynamics of the resonators over long periods of time. It is necessary to consider it when designing a nano-resonator used for quantum nondemolition readouts of qubit states, crucial in quantum computation.
Funder
National Research Foundation of Korea
Publisher
Springer Science and Business Media LLC
Reference48 articles.
1. Wustmann, W. & Shumeiko, V. Parametric resonance in tunable superconducting cavities. Phys. Rev. B 87(18), 184501 (2013).
2. Ma, S.-L., Xie, J.-K., Li, X.-K. & Li, F.-L. Robust generation of entangled fields against inhomogeneous parameters of coupled superconducting resonators and qubits. Phys. Re. A 99(4), 042317 (2019).
3. Hardal, A. Ü. C., Aslan, N., Wilson, C. M. & Müstecaploğlu, Ö. E. Quantum heat engine with coupled superconducting resonators. Phys. Rev. E 96(6), 062120 (2017).
4. Gao, S. (ed.), Protective Measurement and Quantum Reality: Towards a New Understanding of Quantum Mechanics, Cambridge University Press, Cambridge, UK, 2015.
5. Berman, G. P., Chumak, A. A., Kamenev, D. I., Kinion, D. & Tsifrinovich, V. I. Non-demolition adiabatic measurement of the phase qubit state. Quant. Inf. Comp. 11(11–12), 1045–1065 (2011).