Abstract
Quantum state engineering in solid-state systems is one of the most rapidly developing areas of research. Solid-state building blocks of quantum computers have the advantages that they can be switched quickly, and they can be integrated into electronic control and measuring circuits. Substantial progress has been achieved with superconducting circuits (qubits) based on Josephson junctions. Strong coupling to the external circuits and other parts of the environment brings, together with the advantages, the problem of noise and, thus, decoherence. Therefore, the study of sources of decoherence is necessary. Josephson qubits themselves are very useful in this study: they have found their first application as sensitive spectrometers of the surrounding noise.
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References
Aguado, R. and Kouwenhoven, L. P. (2000) Double Quantum Dots as Detectors of High-Frequency Quantum Noise in Mesoscopic Conductors, Phys. Rev. Lett. 84, 1986.
Anderson, P. W., Halperin, B. I., and Varma, C. M. (1972) Anomalous Low-Temperature Thermal Properties of Glasses and Spin Glasses, Phylos. Mag. 25, 1.
Astafiev, O. (2004), private communication.
Astafiev, O., Pashkin Yu. A., Nakamura, Y., Yamamoto, T., and Tsai, J. S. (2004a) Quantum Noise in the Josephson Charge Qubit, Phys. Rev. Lett. 93, 267007.
Astafiev, O., Pashkin, Y. A., Yamamoto, T., Nakamura, Y., and Tsai, J. S. (2004b) Single-Shot Measurement of the Josephson Charge Qubit., Phys. Rev. B 69, 180507.
Bernamont, J. (1937) Fluctuations de potentiel aux bornes d’un conducteur metallique de faible volume parcouru par un courant., Ann. Phys. (Leipzig) 7, 71.
Black, J. L. (1981) Low-Energy Excitations in Metallic Glasses, In H.-J. Güntherodt and H. Beck (eds.), Glassy metals, Berlin, Springer-Verlag.
Black, J. L. and Halperin, B. I. (1977) Spectral Diffusion, Phonon Echoes, and Saturation Recovery in Glasses at Low-Temperatures, Phys. Rev. B 16, 2879.
Bloch, F. (1957) Generalized Theory of Relaxation, Phys. Rev. 105, 1206.
Collin, E., Ithier, G., Aassime, A., Joyez, P., Vion, D., and Esteve, D. (2004) NMR-like Control of a Quantum Bit Superconducting Circuit., Phys. Rev. Lett. 93, 157005.
Cottet, A. (2002), PhD thesis, Université Paris VI.
de Sousa, R., Whaley, K. B., Wilhelm, F. K., and von Delft, J. (2005) Ohmic Noise from a Single Defect Center Hybridized with a Fermi Sea., Phys. Rev. Lett. 95, 247006.
Dutta, P. and Horn, P. M. (1981a) Low-Frequency Fluctuations in Solids, Rev. Mod. Phys. 53, 497.
Dutta, P. and Horn, P. M. (1981b) Low-Frequency Fluctuations in Solids: 1/ f Noise, Rev. Mod. Phys. 53, 497.
Esteve, D. and Vion, D. (2005) Solid State Quantum Bits, cond-mat/0505676.
Falci, G., D’Arrigo, A., Mastellone, A., and Paladino, E. (2005) Initial Decoherence in Solid State Qubits, Phys. Rev. Lett. 94, 167002.
Faoro, L., Bergli, J., Altshuler, B. A., and Galperin, Y. M. (2005) Models of Environment and T1 Relaxation in Josephson Charge Qubits, Phys. Rev. Lett. 95, 046805.
Faoro, L. and Ioffe, L. B. (2005) Quantum Two Level Systems and Kondo-like Traps as Possible Sources of Decoherence in Superconducting Qubits., cond-mat/0510554.
Feng, S., Lee, P. A., and Stone, A. D. (1986) Sensitivity of the Conductance of a Disordered Metal to the Motion of a Single Atom: Implications for 1/f Noise, Phys. Rev. Lett. 56, 1960.
Galperin, Y. M., Altshuler, B. L., and Shantsev, D. V. (2004a) Low-Frequency Noise as a Source of Dephasing of a Qubit, In I. V. Lerner, B. L. Altshuler, and Y. Gefen (eds.), Fundamental Problems of Mesoscopic Physics, Dordrecht, Boston, London, Kluwer Academic Publishers, cond-mat/0312490.
Galperin, Y. M., Kozub, V. I., and Vinokur, V. M. (2004b) Low-Frequency Noise in Tunneling through a Single Spin, Phys. Rev. B 70, 033405.
Grishin, A., Yurkevich, I. V., and Lerner, I. V. (2005) Low-Temperature Decoherence of Qubit Coupled to Background Charges, Phys. Rev. B 72, 060509.
Imry, Y., Fukuyama, H., and Schwab, P. (1999) Low-Temperature Dephasing in Disordered Conductors: The Effect of “1/ f ” Fluctuations, Europhys. Lett. 47, 608.
Ithier, G., Collin, E., Joyez, P., Meeson, P. J., Vion, D., Esteve, D., Chiarello, F., Shnirman, A., Makhlin, Y., Schrie., J., and Schön, G. (2005) Decoherence in a Superconducting Quantum Bit Circuit., Phys. Rev. B 72, 134519.
Kenyon, M., Lobb, C. J., and Wellstood, F. C. (2000) Temperature Dependence of Low-Frequency Noise in Al-Al2O3-Al Single-Electron Transistors, J. Appl. Phys. 88, 6536.
Kogan, S. M. and Nagaev, K. E. (1984) On the Low-Frequency Current Noise in Metals, Solid State Comm. 49, 387.
Korotkov, A. N. and Averin, D. V. (2001) Continuous Weak Measurement of Quantum Coherent Oscillations, Phys. Rev. B 64, 165310.
Ludviksson, A., Kree, R., and Schmid, A. (1984) Low-Frequency 1/f Fluctuations of Resistivity in Disordered Metals, Phys. Rev. Lett. 52, 950.
Makhlin, Y. and Shnirman, A. (2004) Dephasing of Solid-State Qubits at Optimal Points, Phys. Rev. Lett. 92, 107001.
Martin, I., Bulaevskii, L., and Shnirman, A. (2005) Tunneling Spectroscopy of Two-level Systems Inside a Josephson Junction., Phys. Rev. Lett. 95, 127002.
Martinis, J. M., Cooper, K. B., McDermott, R., Steffen, M., Ansmann, M., Osborn, K., Cicak, K., Oh, S., Pappas, D. P., Simmonds, R., and Yu, C. C. (2005) Decoherence in Josephson Qubits from Dielectric Loss., Phys. Rev. Lett. 95, 210503.
Nakamura, Y., Pashkin Yu. A., Yamamoto, T., and Tsai, J. S. (2002) Charge Echo in a Cooper-Pair Box, Phys. Rev. Lett. 88, 047901.
Paladino, E., Faoro, L., Falci, G., and Fazio, R. (2002) Decoherence and 1/f noise in Josephson Qubits, Phys. Rev. Lett. 88, 228304.
Phillips, W. A. (1972) Tunneling States in Amorphous Solids, J. Low. Temp. Phys. 7, 351.
Rabenstein, K., Sverdlov, V. A., and Averin, D. V. (2004) Qubit Decoherence by Gaussian Low-Frequency Noise, JETP Lett. 79, 783.
Redfield, A. G. (1957) On the theory of relaxation processes, IBM J. Res. Dev. 1, 19.
Schoelkopf, R. J., Clerk, A. A., Girvin, S. M., Lehnert, K. W., and Devoret, M. H. (2003) Qubits as Spectrometers of Quantum Noise, In Y. V. Nazarov (ed.), Quantum Noise in Mesoscopic Physics, Dordrecht, Boston, pp. 175–203., Kluwer Academic Publishers, cond-mat/0210247.
Schrie., J. (2005), PhD Thesis, University of Karlsruhe.
Shnirman, A., Makhlin, Yu., and Schön, G. (2002) Noise and Decoherence in Quantum Two-Level Systems, Physica Scripta T102, 147.
Shnirman, A., Mozyrsky, D., and Martin, I. (2004) Output Spectrum of a Measuring Device at Arbitrary Voltage and temperature, Europhys. Lett. 67, 840.
Shnirman, A., Schön, G., Martin, I., and Makhlin, Y. (2005) Low-and High-Frequency Noise from Coherent Two-Level Systems, Phys. Rev. Lett. 94, 127002.
Siddiqi, I., Vijay, R., Pierre, F., Wilson, C. M., Metcalfe, M., Rigetti, C., Frunzio, L., and Devoret, M. H. (2004) RF-Driven Josephson Bifurcation Amplifier for Quantum Measurement, Phys. Rev. Lett. 93, 207002.
Simmonds, R.W., Lang, K. M., Hite, D. A., Nam, S., Pappas, D. P., and Martinis, J. M. (2004) Decoherence in Josephson Phase Qubits from Junction Resonators, Phys. Rev. Lett. 93, 077003.
Van Harlingen, D. J., Robertson, T. L., Plourde, B. L. T., Reichardt, P. A., Crane, T. A., and Clarke, J. (2004) Decoherence in Josephson-junction qubits due to critical current fluctuations, Phys. Rev. B 70, 064517.
Vion, D., Aassime, A., Cottet, A., Joyez, P., Pothier, H., Urbina, C., Esteve, D., and Devoret, M. H. (2002) Manipulating the quantum state of an electrical circuit, Science 296, 886.
Wallra., A., Schuster, D. I., Blais, A., Frunzio1, L., Huang, R.-S., Majer, J., Kumar, S., Girvin, S. M., and Schoelkopf, R. J. (2004) Strong Coupling of a Single Photon to a Superconducting Qubit using Circuit Quantum Electrodynamics, Nature 431, 162.
Wellstood, F. C. (1988), PhD thesis, University of California, Berkeley.
Wellstood, F. C., Urbina, C., and Clarke, J. (2004) Flicker (1/f) Noise in the Critical Current of Josephson Junctions at 0.09-4.2 K, Appl. Phys. Lett. 85, 5296.
Wendin, G. and Shumeiko, V. S. (2005) Superconducting Quantum Circuits, Qubits and Computing, cond-mat/0508729.
Yamamoto, T., Pashkin, Y. A., Astafiev, O., Nakamura, Y., and Tsai, J. S. (2003) Demonstration of Conditional Gate Operation using Superconducting Charge Qubits., Nature 425, 941.
Zimmerli, G., Eiles, T. M., Kautz, R. L., and Martinis, J. M. (1992) Noise in the Coulomb Blockade Electrometer, Appl. Phys. Lett. 61, 237.
Zorin, A. B., Ahlers, F.-J., Niemeyer, J., Weimann, T., Wolf, H., Krupenin, V. A., and Lotkhov, S. V. (1996) Background Charge Noise in Metallic Single-Electron Tunneling Devices, Phys. Rev. B 53, 13682.
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Shnirman, A., Schön, G., Martin, I., Makhlin, Y. (2007). 1/f NOISE AND TWO-LEVEL SYSTEMS IN JOSEPHSON QUBITS. In: Scharnberg, K., Kruchinin, S. (eds) Electron Correlation in New Materials and Nanosystems. NATO Science Series, vol 241. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5659-8_27
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DOI: https://doi.org/10.1007/978-1-4020-5659-8_27
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