Abstract
By virtue of the canonical quantization method, the Hamilton operator for the charge qubits coupled by the variable capacitor is given. Based on this system, the realization scheme of the controlled-phase-shift gate is proposed. Meanwhile the quantum entanglement phenomena exiting in the system are discussed. An interesting conclusion is obtained, i.e., if one desires to change the quantum entanglement, the coupling capacitance should be considered first, but it is also a good choice to tune symmetric and asymmetric combination of two external magnetic fluxes respectively through the two loops.
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Liang, B.L., Wang, J.S.: Quantum Theory and Quantum Computation of Mesoscopic Circuit. Science Press, Beijing (2018)
Vandersypen, L.M.K., Steffen, M., Breyta, G., Yannoni, C.S., Sherwood, M.H., Chuang, I.L.: Experimental Realization of Shor’s Quantum Factoring Algorithm Using Nuclear Magnetic Resonance. Nature 414, 883 (2001)
Gulde, S., Riebe, M., Lancaster, G.P.T., Becher, C., Eschner, J., Häffner, H., Schmidt-Kaler, F., Chuang, I.L., Blatt: Implementation of the Deutsch–Jozsa Algorithm on an Ion-trap Quantum Computer. Nature 421, 48 (2003)
Turchette, Q.A., Hood, C.J., Lange, W., Mabuchi, H., Kimble, H.J.: Measurement of Conditional Phase Shifts for Quantum Logic. Phys. Rev. Lett. 75, 4710 (1995)
Li, T., Lai, L.M., Liang, D.F., Fei, S.M., Wang, Z.X.: Entanglement Witnesses Based on Symmetric Informationally Complete Measurements. Int. J. Theor. Phys. 59, 3549 (2020)
Tsuruoka, T., Su, J., Terabe, K.: A Voltage-Controlled Oscillator Using Variable Capacitors with a Thin Dielectric Electrolyte Film. Appl. Electron. Mater. 2, 2788 (2020)
Li, H.K., Li, K.M., Dong, H., Guo, Q.J., Liu, W.X., Wang, Z., Wang, H.H., Zheng, D.N.: Tunable coupling between Xmon qubit and coplanar waveguide resonator. Chin. Phys. B 28, 080305 (2019)
Liang, B.L., Wang, J.S., Meng, X.G., Yang, Q.Y.: Decoherence Dynamics of A Flux Qubit Respectively Coupled to A Boson Bath and A Spin Bath. Int. J. Mod. Phys. B 27, 1350134 (2013)
Zhang, Z.T.: Distinguishing Majorana Bound States and Andreev Bound States with Microwave Spectra. J. Phys.: Condens. Matter 30, 145402 (2018)
Zhang, Z.T., Mei, F., Meng, X.G., Liang, B.L., Yang, Z.S.: Effects of decoherence on diabatic errors in Majorana braiding. Phys. Rev. A 100, 012324 (2019)
Arute, F., et al.: Quantum supremacy using a programmable superconducting processor. Nature 574, 505 (2019)
Zhong, H.S., et al.: Quantum Computational Advantage Using Photons. Science 370, 1460 (2020)
Makhlin, Y., Schön, G., Shnirman, A.: Josephson-junction qubits with controlled couplings. Nature 398, 305 (1999)
Berkley, A.J., Xu, H., Gubrud, M.A., Ramos, R.C., et al.: Entangled Macroscopic Quantum States in Two Superconducting Qubits. Science 300, 1548 (2003)
Wei, L.F., Liu, Y.X., Nori, F.: Generation and Control of Greenberger-Horne-Zeilinger Entanglement in Superconducting Circuits. Phys. Rev. Lett. 96, 246803 (2006)
You, J.Q., Lam, C.H., Zheng, H.Z.: Superconducting Charge Qubits: The Roles of Self and Mutual Inductances. Phys. Rev. B 63, 180501 (2001)
Burkard, G., Loss, D.: Physical Optimization of Quantum Error Correction Circuits. Phys. Rev. B 60, 11404 (1999)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Feynman, R.P., Leighton, R.B., Sands, M.: The Feynman Lectures on Physics. Addison-Wesley (1965)
Wootters, W.K.: Entanglement of Formation of an Arbitrary State of Two Qubits. Phys. Rev. Lett. 80, 2245 (1998)
Kim, M.D., Cho, S.Y.: Entanglement and Bell states in Superconducting Flux Qubits. Phys. Rev. B 75, 134514 (2007)
Tinkham, M.: Introduction to Superconductivity. McGraw-Hill, New York (1996)
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This work was supported by the National Natural Science Foundation of China (Grant Nos. 11147009 and 11244005) and the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2020MA085 and ZR2020MF113).
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Liang, B.L., Wu, M.Y., Wang, J.S. et al. Controlled-Phase-Shift Gate Realization and Quantum Entanglement Control for the Charge Qubits Coupled by Variable Capacitor. Int J Theor Phys 61, 79 (2022). https://doi.org/10.1007/s10773-022-04981-7
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DOI: https://doi.org/10.1007/s10773-022-04981-7