journal article·2021-08Open access

A singlet-triplet hole spin qubit in planar Ge

Daniel Jirovec, Andrea Hofmann, Andrea Ballabio, Philipp M. Mutter, Giulio Tavani, Marc Botifoll, Alessandro Crippa, Josip Kukucka, Oliver Sagi, Frederico Martins, Jaime Saez-Mollejo, Ivan Prieto, Maksim Borovkov, Jordi Arbiol, Daniel Chrastina, Giovanni Isella, Georgios Katsaros

Nature Materials· Volume 20· Issue 8

Abstract

Spin qubits are considered to be among the most promising candidates for building a quantum processor. Group IV hole spin qubits are particularly interesting owing to their ease of operation and compatibility with Si technology. In addition, Ge offers the option for monolithic superconductor-semiconductor integration. Here, we demonstrate a hole spin qubit operating at fields below 10 mT, the critical field of Al, by exploiting the large out-of-plane hole g-factors in planar Ge and by encoding the qubit into the singlet-triplet states of a double quantum dot. We observe electrically controlled g-factor difference-driven and exchange-driven rotations with tunable frequencies exceeding 100 MHz and dephasing times of 1 μs, which we extend beyond 150 μs using echo techniques. These results demonstrate that Ge hole singlet-triplet qubits are competing with state-of-the-art GaAs and Si singlet-triplet qubits. In addition, their rotation frequencies and coherence are comparable with those of Ge single spin qubits, but singlet-triplet qubits can be operated at much lower fields, emphasizing their potential for on-chip integration with superconducting technologies.
Source: europepmc · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Quantum and electron transport phenomena · Mechanical and Optical Resonators · Physics of Superconductivity and Magnetism

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References (47)

Show source-provided references
1. Scappucci, G. et al. The germanium quantum information route. Nat. Rev. Mater. https://doi.org/10.1038/s41578-020-00262-z (2020).10.1038/s41578-020-00262-z ↗
2. Kloeffel, C., Trif, M. & Loss, D. Strong spin-orbit interaction and helical hole states in Ge/Si nanowires. Phys. Rev. B 84, 195314 (2011).10.1103/PhysRevB.84.195314 ↗
3. Froning, F. N. M. et al. Ultrafast hole spin qubit with gate-tunable spin–orbit switch functionality. Nat. Nanotechnol. 16, 308–312 (2021).10.1038/s41565-020-00828-6 ↗
4. Wang, Z. et al. Optimal operation points for ultrafast, highly coherent Ge hole spin-orbit qubits. npj Quantum Inf. 7, 54 (2021).10.1038/s41534-021-00386-2 ↗
5. Lodari, M. et al. Light effective hole mass in undoped Ge/SiGe quantum wells. Phys. Rev. B 100, 041304(R) (2019).10.1103/PhysRevB.100.041304 ↗
6. Loss, D. & DiVincenzo, D. P. Quantum computation with quantum dots. Phys. Rev. A 57, 120–126 (1998).10.1103/PhysRevA.57.120 ↗
7. Hendrickx, N. W. et al. A four-qubit germanium quantum processor. Nature 591, 580–585 (2021).10.1038/s41586-021-03332-6 ↗
8. Watzinger, H. et al. A germanium hole spin qubit. Nat. Commun. 9, 3902 (2018).10.1038/s41467-018-06418-4 ↗
9. Hendrickx, N. W., Franke, D. P., Sammak, A., Scappucci, G. & Veldhorst, M. Fast two-qubit logic with holes in germanium. Nature 577, 487–491 (2020).10.1038/s41586-019-1919-3 ↗
10. Katsaros, G. et al. Observation of spin-selective tunneling in SiGe nanocrystals. Phys. Rev. Lett. 107, 246601 (2011).10.1103/PhysRevLett.107.246601 ↗
11. Levy, J. Universal quantum computation with spin-1/2 pairs and Heisenberg exchange. Phys. Rev. Lett. 89, 147902 (2002).10.1103/PhysRevLett.89.147902 ↗
12. Petta, J. R. Coherent manipulation of coupled electron spins in semiconductor quantum dots. Science 309, 2180–2184 (2005).10.1126/science.1116955 ↗
13. Petta, J. R., Lu, H. & Gossard, A. C. A coherent beam splitter for electronic spin states. Science 327, 669–672 (2010).10.1126/science.1183628 ↗
14. Dial, O. E. et al. Charge noise spectroscopy using coherent exchange oscillations in a singlet-triplet qubit. Phys. Rev. Lett. 110, 146804 (2013).10.1103/PhysRevLett.110.146804 ↗
15. Maune, B. M. et al. Coherent singlet-triplet oscillations in a silicon-based double quantum dot. Nature 481, 344–347 (2012).10.1038/nature10707 ↗
16. Wu, X. et al. Two-axis control of a singlet-triplet qubit with an integrated micromagnet. Proc. Natl Acad. Sci. USA 111, 11938–11942 (2014).10.1073/pnas.1412230111 ↗
17. Takeda, K., Noiri, A., Yoneda, J., Nakajima, T. & Tarucha, S. Resonantly driven singlet-triplet spin qubit in silicon. Phys. Rev. Lett. 124, 117701 (2020).10.1103/PhysRevLett.124.117701 ↗
18. Jock, R. M. et al. A silicon metal-oxide-semiconductor electron spin-orbit qubit. Nat. Commun. 9, 1768 (2018).10.1038/s41467-018-04200-0 ↗
19. Harvey-Collard, P. et al. Spin-orbit interactions for singlet-triplet qubits in silicon. Phys. Rev. Lett. 122, 217702 (2019).10.1103/PhysRevLett.122.217702 ↗
20. Watzinger, H. et al. Heavy-hole states in germanium hut wires. Nano Lett. 16, 6879–6885 (2016).10.1021/acs.nanolett.6b02715 ↗
21. Hofmann, A. et al. Assessing the potential of Ge/SiGe quantum dots as hosts for singlet-triplet qubits. Preprint at https://arxiv.org/abs/1910.05841 (2019).
22. Liles, S. D. et al. Spin and orbital structure of the first six holes in a silicon metal-oxide-semiconductor quantum dot. Nat. Commun. 9, 3255 (2018).10.1038/s41467-018-05700-9 ↗
23. Barthel, C. et al. Relaxation and readout visibility of a singlet-triplet qubit in an Overhauser field gradient. Phys. Rev. B 85, 035306 (2012).10.1103/PhysRevB.85.035306 ↗
24. Studenikin, S. A. et al. Enhanced charge detection of spin qubit readout via an intermediate state. Appl. Phys. Lett. 101, 233101 (2012).10.1063/1.4749281 ↗
25. Orona, L. A. et al. Readout of singlet-triplet qubits at large magnetic field gradients. Phys. Rev. B 98, 125404 (2018).10.1103/PhysRevB.98.125404 ↗
26. Wang, X. et al. Composite pulses for robust universal control of singlet–triplet qubits. Nat. Commun. 3, 997 (2012).10.1038/ncomms2003 ↗
27. Yoneda, J. et al. A quantum-dot spin qubit with coherence limited by charge noise and fidelity higher than 99.9%. Nat. Nanotechnol. 13, 102–106 (2017).10.1038/s41565-017-0014-x ↗
28. Moon, H. et al. Machine learning enables completely automatic tuning of a quantum device faster than human experts. Nat. Commun. 11, 4161 (2020).10.1038/s41467-020-17835-9 ↗
29. Shulman, M. D. et al. Suppressing qubit dephasing using real-time Hamiltonian estimation. Nat. Commun. 5, 5156 (2014).10.1038/ncomms6156 ↗
30. Bluhm, H. et al. Dephasing time of GaAs electron-spin qubits coupled to a nuclear bath exceeding 200 μs. Nat. Phys. 7, 109–113 (2010).10.1038/nphys1856 ↗
31. Cerfontaine, P. et al. Closed-loop control of a GaAs-based singlet-triplet spin qubit with 99.5% gate fidelity and low leakage. Nat. Commun. 11, 4144 (2020).10.1038/s41467-020-17865-3 ↗
32. Martins, F. et al. Noise suppression using symmetric exchange gates in spin qubits. Phys. Revi. Lett. 116, 116801 (2016).10.1103/PhysRevLett.116.116801 ↗
33. Reed, M. et al. Reduced sensitivity to charge noise in semiconductor spin qubits via symmetric operation. Phys. Rev. Lett. 116, 110402 (2016).10.1103/PhysRevLett.116.110402 ↗
34. Nichol, J. M. et al. High-fidelity entangling gate for double-quantum-dot spin qubits. npj Quantum Inf. 3 3 (2017).10.1038/s41534-016-0003-1 ↗
35. Wallraff, A. et al. Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics. Nature 431, 162–167 (2004).10.1038/nature02851 ↗
36. Stehlik, J. et al. Fast charge sensing of a cavity-coupled double quantum dot using a Josephson parametric amplifier. Phys. Rev. Appl. 4, 014018 (2015).10.1103/PhysRevApplied.4.014018 ↗
37. Burkard, G., Gullans, M. J., Mi, X. & Petta, J. R. Superconductor–semiconductor hybrid-circuit quantum electrodynamics. Nat. Rev. Phys. 2, 129–140 (2020).10.1038/s42254-019-0135-2 ↗
38. Leonard, E. et al. Digital coherent control of a superconducting qubit. Phys. Rev. Appl. 11, 014009 (2019).10.1103/PhysRevApplied.11.014009 ↗
39. Schupp, F. J. et al. Sensitive radiofrequency readout of quantum dots using an ultra-low-noise SQUID amplifier. J. Appl. Phys. 127, 244503 (2020).10.1063/5.0005886 ↗
40. Vigneau, F. et al. Germanium quantum-well Josephson field-effect transistors and interferometers. Nano Lett. 19, 1023–1027 (2019).10.1021/acs.nanolett.8b04275 ↗
41. Amitonov, S. V., Spruijtenburg, P. C., Vervoort, M. W. S., van der Wiel, W. G. & Zwanenburg, F. A. Depletion-mode quantum dots in intrinsic silicon. Appl. Phys. Lett. 112, 023102 (2018).10.1063/1.5002646 ↗
42. Rössner, B., Chrastina, D., Isella, G. & von Känel, H. Scattering mechanisms in high-mobility strained Ge channels. Appl. Phys. Lett. 84, 3058–3060 (2004).10.1063/1.1707223 ↗
43. Shah, V. A. et al. Reverse graded relaxed buffers for high Ge content SiGe virtual substrates. Appl. Phys. Lett. 93, 192103 (2008).10.1063/1.3023068 ↗
44. Wang, Z. et al. Optimal operation points for ultrafast, highly coherent Ge hole spin-orbit qubits. Preprint at https://arXiv:1911.11143 (2019).
45. Sammak, A. et al. Shallow and undoped germanium quantum wells: a playground for spin and hybrid quantum technology. Adv. Funct. Mater. 29, 1807613 (2019).10.1002/adfm.201807613 ↗
46. Marchionna, S., Virtuani, A., Acciarri, M., Isella, G. & von Kaenel, H. Defect imaging of SiGe strain relaxed buffers grown by LEPECVD. Mater. Sci. Semicond. Process. 9, 802–805 (2006).10.1016/j.mssp.2006.09.003 ↗
47. Jirovec, D. Research data for “A singlet-triplet hole spin qubit planar Ge”. https://doi.org/10.15479/AT:ISTA:9323 (2021).10.15479/AT:ISTA:9323 ↗