Quantum coherence and control is foundational to the science and engineering of quantum systems1,2. In van der Waals materials, the collective coherent behaviour of carriers has been probed successfully by transport measurements3,4,5,6. However, temporal coherence and control, as exemplified by manipulating a single quantum degree of freedom, remains to be verified. Here we demonstrate such coherence and control of a superconducting circuit incorporating graphene-based Josephson junctions. Furthermore, we show that this device can be operated as a voltage-tunable transmon qubit7,8,9, whose spectrum reflects the electronic properties of massless Dirac fermions travelling ballistically4,5. In addition to the potential for advancing extensible quantum computing technology, our results represent a new approach to studying van der Waals materials using microwave photons in coherent quantum circuits.
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The data that support the plots within this paper and other finding of this study are available from the corresponding author upon reasonable request.
Nakamura, Y., Pashkin, Y. A. & Tsai, J. S. Coherent control of macroscopic quantum states in a single-Cooper-pair box. Nature 398, 786–788 (1999).
Devoret, M. H. & Schoelkopf, R. J. Superconducting circuits for quantum information: an outlook. Science 339, 1169–1174 (2013).
Heersche, H. B., Jarillo-Herrero, P., Oostinga, J. B., Vandersypen, L. M. K. & Morpurgo, A. F. Bipolar supercurrent in graphene. Nature 446, 56–59 (2007).
Calado, V. E. et al. Ballistic Josephson junctions in edge-contacted graphene. Nat. Nanotech. 10, 761–764 (2015).
Ben Shalom, M. et al. Quantum oscillations of the critical current and high-field superconducting proximity in ballistic graphene. Nat. Phys. 12, 318–322 (2016).
Bretheau, L. et al. Tunnelling spectroscopy of Andreev states in graphene. Nat. Phys. 13, 756–760 (2017).
Larsen, T. W. et al. Semiconductor-nanowire-based superconducting qubit. Phys. Rev. Lett. 115, 127001 (2015).
Luthi, F. et al. Evolution of nanowire transmon qubits and their coherence in a magnetic field. Phys. Rev. Lett. 120, 100502 (2018).
Casparis, L. et al. Superconducting gatemon qubit based on a proximitized two-dimensional electron gas. Nat. Nanotech. 13, 915–919 (2018).
Kelly, J. et al. State preservation by repetitive error detection in a superconducting quantum circuit. Nature 519, 66–69 (2015).
Koch, J. et al. Charge-insensitive qubit design derived from the Cooper pair box. Phys. Rev. A 76, 042319 (2007).
Yan, F. et al. The flux qubit revisited to enhance coherence and reproducibility. Nat. Commun. 7, 12964 (2016).
Oliver, W. D. & Welander, P. B. Materials in superconducting quantum bits. MRS Bull. 38, 816–825 (2013).
Kurizki, G. et al. Quantum technologies with hybrid systems. Proc. Natl Acad. Sci. USA 112, 3866–3873 (2015).
Cottet, A. et al. Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena. J. Phys. Condens. Matter. 29, 433002 (2017).
Geim, A. K. & Grigorieva, I. V. Van der Waals heterostructures. Nature 499, 419–425 (2013).
Huang, B. et al. Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit. Nature 546, 270–273 (2017).
Kormányos, A., Zólyomi, V., Drummond, N. D. & Burkard, G. Spin–orbit coupling, quantum dots, and qubits in monolayer transition metal dichalcogenides. Phys. Rev. X 4, 011034 (2014).
Freitag, N. M. et al. Electrostatically confined monolayer graphene quantum dots with orbital and valley splittings. Nano Lett. 16, 5798–5805 (2016).
Khorasani, S. & Koottandavida, A. Nonlinear graphene quantum capacitors for electro-optics. npj 2D Mater. Appl. 1, 7 (2017).
Schmidt, F. E., Jenkins, M. D., Watanabe, K., Taniguchi, T. & Steele, G. A. A ballistic graphene superconducting microwave circuit. Nat. Commun. 9, 4069 (2018).
Kroll, J. G. et al. Magnetic field compatible circuit quantum electrodynamics with graphene Josephson junctions. Nat. Commun. 9, 4615 (2018).
Novoselov, K. S. et al. Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197–200 (2005).
Nanda, G. et al. Current-phase relation of ballistic graphene josephson junctions. Nano Lett. 17, 3396–3401 (2017).
Casparis, L. et al. Gatemon benchmarking and two-qubit operations. Phys. Rev. Lett. 116, 150505 (2016).
Hassler, F., Akhmerov, A. R. & Beenakker, C. W. J. The top-transmon: a hybrid superconducting qubit for parity-protected quantum computation. New J. Phys. 13, 095004 (2011).
Wang, L. et al. One-dimensional electrical contact to a two-dimensional material. Science 342, 614–617 (2013).
Tinkham, M. Introduction to Superconductivity Ch. 6 (Dover Publications, Mineola, 2004).
Wang, J. I.-J. et al. Tunneling spectroscopy of graphene nanodevices coupled to large gap superconductors. Phys. Rev. B 98, 121441(R) (2018).
Kringhøj, A. et al. Anharmonicity of a superconducting qubit with a few-mode Josephson junction. Phys. Rev. B 97, 060508 (2018).
Giovannetti, G. et al. Doping graphene with metal contacts. Phys. Rev. Lett. 101, 026803 (2008).
Beenakker, C. W. J. Universal limit of critical-current fluctuations in mesoscopic Josephson junctions. Phys. Rev. Lett. 67, 3836–3839 (1991).
Allen, M. T. et al. Spatially resolved edge currents and guided-wave electronic states in graphene. Nat. Phys. 12, 128–133 (2015).
Zhu, M. J. et al. Edge currents shunt the insulating bulk in gapped graphene. Nat. Commun. 8, 14552 (2017).
Mi, X. et al. Circuit quantum electrodynamics architecture for gate-defined quantum dots in silicon. Appl. Phys. Lett. 110, 043502 (2017).
Amet, F. et al. Supercurrent in the quantum Hall regime. Science 352, 966–969 (2016).
Fatemi, V. et al. Electrically tunable low density superconductivity in a monolayer topological insulator. Science 362, 926–929 (2018).
Cao, Y. et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature 556, 43–50 (2018).
The authors thank M. Augeri, J. Birenbaum, P. Baldo, G. Fitch, M. Hellstrom, K. Magoon, A. Melville, P. Murphy, B. M. Niedzielski, B. Osadchy, D. Rosenberg, R. Slattery, C. Thoummaraj and D. Volfson at MIT Lincoln Laboratory for technical assistance. This research was funded in part by the US Army Research Office grant no. W911NF-17-S-0001, and by the Assistant Secretary of Defense for Research & Engineering via MIT Lincoln Laboratory under Air Force contract no. FA8721-05-C-0002. P.J.-H. and L.B. were partly supported by the Gordon and Betty Moore Foundation’s EPiQS Initiative through grant no. GBMF4541. L.B. acknowledges support of Agence Nationale de la Recherche through grant ANR-18-CE47-0012 (JCJC QIPHSC). This work made use of the MRSEC Shared Experimental Facilities at MIT, supported by the National Science Foundation (NSF) under award no. DMR-14-19807 and of Harvard CNS, supported by NSF ECCS under award no. 1541959. Growth of BN crystals was supported by the Elemental Strategy Initiative conducted by the MEXT, Japan and JSPS KAKENHI grant numbers JP15K21722 and JP25106006. D.R.-L. acknowledges support from Obra Social ‘la Caixa’ Fellowship. M.K. acknowledges support from the Carlsberg Foundation. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements of the US Government.
The authors declare no competing interests.
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Wang, J.IJ., Rodan-Legrain, D., Bretheau, L. et al. Coherent control of a hybrid superconducting circuit made with graphene-based van der Waals heterostructures. Nature Nanotech 14, 120–125 (2019). https://doi.org/10.1038/s41565-018-0329-2
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