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Cited by 850

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Resolving photon number states in a superconducting circuit

Open access
Schuster, D. I., Houck, A. A., Schreier, J. A., Wallraff, A., Gambetta, J. M., Blais, A., Frunzio, L., Majer, J., Johnson, B., Devoret, M. H., Girvin, S. M., Schoelkopf, R. J.·2007·Nature
DOI 10.1038/nature05461
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Abstract

Electromagnetic signals are always composed of photons, although in the circuit domain those signals are carried as voltages and currents on wires, and the discreteness of the photon's energy is usually not evident. However, by coupling a superconducting quantum bit (qubit) to signals on a microwave transmission line, it is possible to construct an integrated circuit in which the presence or absence of even a single photon can have a dramatic effect. Such a system can be described by circuit quantum electrodynamics (QED)—the circuit equivalent of cavity QED, where photons interact with atoms or quantum dots. Previously, circuit QED devices were shown to reach the resonant strong coupling regime, where a single qubit could absorb and re-emit a single photon many times. Here we report a circuit QED experiment in the strong dispersive limit, a new regime where a single photon has a large effect on the qubit without ever being absorbed. The hallmark of this strong dispersive regime is that the qubit transition energy can be resolved into a separate spectral line for each photon number state of the microwave field. The strength of each line is a measure of the probability of finding the corresponding photon number in the cavity. This effect is used to distinguish between coherent and thermal fields, and could be used to create a photon statistics analyser. As no photons are absorbed by this process, it should be possible to generate non-classical states of light by measurement and perform qubit–photon conditional logic, the basis of a logic bus for a quantum computer.

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Cites

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Research works printed but not linked: 27

  1. Blais, A., Huang, R., Wallraff, A., Girvin, S. & Schoelkopf, R. J. Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation. Phys. Rev. A 69, 062320 (2004) · DOI · Paper page
  2. Mabuchi, H. & Doherty, A. C. Cavity quantum electrodynamics: Coherence in context. Science 298, 1372–1377 (2002) · DOI · Paper page
  3. Walls, D. F. & Milburn, G. J. Quantum Optics (Springer, Berlin, 2006)
  4. Purcell, E. M. Spontaneous emission probabilities at radio frequencies. Phys. Rev. 69, 681 (1946) · DOI · Paper page
  5. Thompson, R. J., Rempe, G. & Kimble, H. J. Observation of normal-mode splitting for an atom in an optical cavity. Phys. Rev. Lett. 68, 1132–1135 (1992) · DOI · Paper page
  6. Raimond, J. M., Brune, M. & Haroche, S. Manipulating quantum entanglement with atoms and photons in a cavity. Rev. Mod. Phys. 73, 565–582 (2001) · DOI · Paper page
  7. Leibfried, D. et al. Experimental preparation and measurement of quantum states of motion of a trapped atom. J. Mod. Opt. 44, 2485–2505 (1997) · DOI
  8. Chiorescu, I. et al. Coherent dynamics of a flux qubit coupled to a harmonic oscillator. Nature 431, 159–162 (2004) · DOI · Paper page
  9. Johansson, J. et al. Vacuum Rabi oscillations in a macroscopic superconducting qubit LC oscillator system. Phys. Rev. Lett. 96, 127006 (2006) · DOI
  10. Reithmaier, J. P. et al. Strong coupling in a single quantum dot-semiconductor microcavity system. Nature 432, 197–200 (2004) · DOI · Paper page
  11. Yoshie, T. et al. Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity. Nature 432, 200–203 (2004) · DOI · Paper page
  12. Grangier, P., Levenson, J. A. & Poizat, J. P. Quantum non-demolition measurements in optics. Nature 396, 537–542 (1998) · DOI · Paper page
  13. Caves, C. M., Thorne, K. S., Drever, R. W. P., Sandberg, V. D. & Zimmermann, M. On the measurement of a weak classical force coupled to a quantum-mechanical oscillator. Rev. Mod. Phys. 52, 341–392 (1980) · DOI · Paper page
  14. Wallraff, A. et al. Approaching unit visibility for control of a superconducting qubit with dispersive readout. Phys. Rev. Lett. 95, 060501 (2005) · DOI · Paper page
  15. Brune, M. et al. From Lamb shift to light shifts: vacuum and subphoton cavity fields measured by atomic phase-sensitive detection. Phys. Rev. Lett. 72, 3339–3342 (1994) · DOI
  16. Schuster, D. I. et al. AC-Stark shift and dephasing of a superconducting qubit strongly coupled to a cavity field. Phys. Rev. Lett. 94, 123602 (2005) · DOI · Paper page
  17. Brune, M., Haroche, S., Lefevre, V., Raimond, J. M. & Zagury, N. Quantum nondemolition measurement of small photon numbers by Rydberg-atom phase-sensitive detection. Phys. Rev. Lett. 65, 976–979 (1990) · DOI · Paper page
  18. Brune, M. et al. Quantum Rabi oscillation: A direct test of field quantization in a cavity. Phys. Rev. Lett. 76, 1800–1803 (1996) · DOI · Paper page
  19. Nogues, G. et al. Seeing a single photon without destroying it. Nature 400, 239–242 (1999) · DOI · Paper page
  20. Bertet, P. et al. Direct measurement of the Winger function of a one-photon Fock state in a cavity. Phys. Rev. Lett. 89, 200402 (2002) · DOI · Paper page
  21. Bouchiat, V., Vion, D., Joyez, P., Esteve, D. & Devoret, M. H. Quantum coherence with a single Cooper pair. Phys. Scripta T76, 165–170 (1998) · DOI · Paper page
  22. Gambetta, J. et al. Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting. Phys. Rev. A 74, 042318 (2006) · DOI · Paper page
  23. Irish, E. K. & Schwab, K. Quantum measurement of a coupled nanomechanical resonator-Cooper pair box system. Phys. Rev. B 68, 155311 (2003) · DOI
  24. Dykman, M. I. & Krivoglaz, M. A. Profiles of no-phonon lines of impurity centers interacting with local quasilocal vibrations. Sov. Phys. Solid State 29, 210–214 (1987)
  25. Siddiqi, I. et al. Dispersive measurements of superconducting qubit coherence with a fast latching readout. Phys. Rev. B 73, 054510 (2006) · DOI
  26. Ottl, A., Ritter, S., Kohl, M. & Esslinger, T. Correlations and counting statistics of an atom laser. Phys. Rev. Lett. 95, 090404 (2005) · DOI · Paper page
  27. Monroe, C., Meekhof, D. M., King, B. E., Itano, W. M. & Wineland, D. J. Demonstration of a fundamental quantum logic gate. Phys. Rev. Lett. 75, 4714–4717 (1995) · DOI · Paper page

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Metadata

Authors
Schuster, D. I., Houck, A. A., Schreier, J. A., Wallraff, A., Gambetta, J. M., Blais, A., Frunzio, L., Majer, J., Johnson, B., Devoret, M. H., Girvin, S. M., & Schoelkopf, R. J.
Venue
Nature
Publisher
Springer Science and Business Media LLC
Published
2007-02
Volume
445
Issue
7127
Pages
515-518
ISSN
  • 0028-0836 (ISSN-L)
  • 1476-4687
DOI
10.1038/nature05461
OpenAlex
W2160661582
Cited by
850
References
3
FWCI
76.43
Type
journal article
Language
en
Open access
green
Licence
www.springer.com/tdm (tdm)

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CoChat. (2026). Citation check: Resolving photon number states in a superconducting circuit. https://app.cochat.ai/papers/10.1038/nature05461
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Schuster, D. I., Houck, A. A., Schreier, J. A., Wallraff, A., Gambetta, J. M., Blais, A., Frunzio, L., Majer, J., Johnson, B., Devoret, M. H., Girvin, S. M., & Schoelkopf, R. J. (2007). Resolving photon number states in a superconducting circuit. Nature. https://doi.org/10.1038/nature05461

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