Quantum Coherence Lab

Zumbühl Group

 

Virtual Spin Qubit Meeting

 

Programm

Introduction

 

27.3.20MiguelR. Hanson, L. P. Kouwenhoven, J. R. Petta, S. Tarucha & L. M. K. Vandersypen. Spins in few-electron quantum dots. Rev. Mod. Phys. 79, 1217–1265 (2007). Slides I - Slides 2

 

Technologies/Methods







Charge readout
2.4.20SiMos

J. M. Elzerman, R. Hanson, J. S. Greidanus, L. H. Willems van Beveren, S. De Franceschi, L. M. K. Vandersypen, S. Tarucha & L. P. Kouwenhoven. Few-electron quantum dot circuit with integrated charge read out. Phys. Rev. B 67, 161308 (2003).

W. Lu, Z. Ji, L. Pfeiffer, K. W. West & A. J. Rimberg. Real-time detection of electron tunnelling in a quantum dot. Nature 423, 422–425 (2003). slides

Spin to charge conversion
6.4.20Mathieu

J. M. Elzerman, R. Hanson, L. H. Willems van Beveren, B. Witkamp, L. M. K. Vandersypen & L. P. Kouwenhoven. Single-shot read-out of an individual electron spin in a quantum dot. Nature 430, 431–435 (2004). slides

RF readout
19.6.20MiguelD. J. Reilly, C. M. Marcus, M. P. Hanson & A. C. Gossard. Fast single-charge sensing with a rf quantum point contact. Appl. Phys. Lett. 91, 89–92 (2007). slides
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J. I. Colless, A. C. Mahoney, J. M. Hornibrook, A. C. Doherty, H. Lu, A. C. Gossard & D. J. Reilly. Dispersive readout of a few-electron double quantum dot with fast rf gate sensors. Phys. Rev. Lett. 110, 1–5 (2013).

A. West, B. Hensen, A. Jouan, T. Tanttu, C.-H. Yang, A. Rossi, M. F. Gonzalez-Zalba, F. Hudson, A. Morello, D. J. Reilly & A. S. Dzurak. Gate-based single-shot readout of spins in silicon. Nat. Nanotechnol. 14, 437–441 (2019).

 

 

 

GaAs, the early experiments

 

 

16.4.20Pierre

J. R. Petta. Coherent Manipulation of Coupled Electron Spins in Semiconductor Quantum Dots. Science, 309, 2180–2184 (2005). slides

9.4.20Taras

S. Amasha, K. MacLean, I. P. Radu, D. M. Zumbühl, M. A. Kastner, M. P. Hanson & A. C. Gossard. Electrical control of spin relaxation in a quantum dot. Phys. Rev. Lett. 100, 1–4 (2008). slides

20.4.20Swap

F. H. L. Koppens, C. Buizert, K. J. Tielrooij, I. T. Vink, K. C. Nowack, T. Meunier, L. P. Kouwenhoven & L. M. K. Vandersypen. Driven coherent oscillations of a single electron spin in a quantum dot. Nature 442, 766–771 (2006). slides

28.4.20DominikK. C. Nowack, F. H. L. Koppens, Y. V. Nazarov & L. M. K. Vandersypen. Coherent Control of a Single Electron Spin with Electric Fields. Science (80-. ). 318, 1430–1433 (2007). slides

 5.5.2020

MathieuM. Pioro-Ladrière, T. Obata, Y. Tokura, Y.-S. Shin, T. Kubo, K. Yoshida, T. Taniyama & S. Tarucha. Electrically driven single-electron spin resonance in a slanting Zeeman field. Nat. Phys. 4, 776–779 (2008). slides

 QUBITS I: Electrons

12.5.2020PierreNadj-Perge, S., Frolov, S. M., Bakkers, E. P. A. M. and Kouwenhoven, L. P. (2010) “Spin-orbit qubit in a semiconductor nanowire”, Nature 468, 7327. slides

 26.5.20

SiMosVeldhorst et al. An addressable quantum dot qubit with fault-tolerant control-fidelity. Nat. Nanotechnol. 9, 981–985 (2014). slides
02.6.20SwapKawakami et al. Electrical control of a long-lived spin qubit in a Si/SiGe quantum dot. Nat. Nano. 9, 666 (2014). slides
07.7.20SiMos

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 (2018).

+ CPMG and Rand. Benchmarking Intrdocution

 QUBITS II: holes

23.6.2020RafaelMaurand et al. A CMOS silicon spin qubit. Nat. Comm. 13575 (2016). slides
 

GaAs (early experiments)

 

Techniques

Charge sensing

  • J. M. Elzerman, R. Hanson, J. S. Greidanus, L. H. Willems van Beveren, S. De Franceschi, L. M. K. Vandersypen, S. Tarucha & L. P. Kouwenhoven. Few-electron quantum dot circuit with integrated charge read out. Phys. Rev. B 67, 161308 (2003).
  • L. M. K. Vandersypen, J. M. Elzerman, R. N. Schouten, L. H. Willems van Beveren, R. Hanson & L. P. Kouwenhoven. Real-time detection of single-electron tunneling using a quantum point contact. Appl. Phys. Lett. 85, 4394 (2004).
  • W. Lu, Z. Ji, L. Pfeiffer, K. W. West & A. J. Rimberg. Real-time detection of electron tunnelling in a quantum dot. Nature 423, 422–425 (2003).

Spin-to-Charge

  • J. M. Elzerman, R. Hanson, L. H. Willems van Beveren, B. Witkamp, L. M. K. Vandersypen & L. P. Kouwenhoven. Single-shot read-out of an individual electron spin in a quantum dot. Nature 430, 431–435 (2004).

RF charge sensor

  • R. J. Schoelkopf, P. Wahlgren, A. A. Kozhevnikov, P. Delsing & D. E. Prober. Radio-frequency single-electron transistor (RF-SET): a fast and ultrasensitive electrometer. Doktorsavhandlingar vid Chalmers Tek. Hogsk. 1238, 1238–1242 (1998).
  • D. J. Reilly, C. M. Marcus, M. P. Hanson & A. C. Gossard. Fast single-charge sensing with a rf quantum point contact. Appl. Phys. Lett. 91, 89–92 (2007).

 

 

RF gate reflectometry


  • J. I. Colless, A. C. Mahoney, J. M. Hornibrook, A. C. Doherty, H. Lu, A. C. Gossard & D. J. Reilly. Dispersive readout of a few-electron double quantum dot with fast rf gate sensors. Phys. Rev. Lett. 110, 1–5 (2013).
  • A. West, B. Hensen, A. Jouan, T. Tanttu, C.-H. Yang, A. Rossi, M. F. Gonzalez-Zalba, F. Hudson, A. Morello, D. J. Reilly & A. S. Dzurak. Gate-based single-shot readout of spins in silicon. Nat. Nanotechnol. 14, 437–441 (2019).

 

How it started (GaAs)

  • J. R. Petta. Coherent Manipulation of Coupled Electron Spins in Semiconductor Quantum Dots. Science, 309, 2180–2184 (2005).
  • F. H. L. Koppens, C. Buizert, K. J. Tielrooij, I. T. Vink, K. C. Nowack, T. Meunier, L. P. Kouwenhoven & L. M. K. Vandersypen. Driven coherent oscillations of a single electron spin in a quantum dot. Nature 442, 766–771 (2006).
  • K. C. Nowack, F. H. L. Koppens, Y. V. Nazarov & L. M. K. Vandersypen. Coherent Control of a Single Electron Spin with Electric Fields. Science (80-. ). 318, 1430–1433 (2007).
  • S. Amasha, K. MacLean, I. P. Radu, D. M. Zumbühl, M. A. Kastner, M. P. Hanson & A. C. Gossard. Electrical control of spin relaxation in a quantum dot. Phys. Rev. Lett. 100, 1–4 (2008).

 

QUBITS

 

Electrons

 

Nanowires

  • Nadj-Perge, S., Frolov, S. M., Bakkers, E. P. A. M. and Kouwenhoven, L. P. (2010) “Spin-orbit qubit in a semiconductor nanowire”, Nature 468, 7327.
  • Nadj-Perge, S. et al. Spectroscopy of spin-orbit quantum bits in indium antimonide nanowires. Phys. Rev. Lett. 108, 1–5 (2012).

 

Phosphor Donor:

  • Muhonen, Laucht, Itoh, Dzurak Morello et al. Storing quantum information for 30 seconds in a nanoelectronic device. Nat. Nano. 9, 98(2014).

 

Silicon CMOS:

  • Veldhorst et al. An addressable quantum dot qubit with fault-tolerant control-fidelity. Nat. Nanotechnol. 9, 981–985 (2014).

Si/SiGe QWs

  • Kawakami et al. Electrical control of a long-lived spin qubit in a Si/SiGe quantum dot. Nat. Nano. 9, 666 (2014).
  • 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 (2018).

 

Micromagnets / slanting Zeeman field

  • M. Pioro-Ladrière, T. Obata, Y. Tokura, Y.-S. Shin, T. Kubo, K. Yoshida, T. Taniyama & S. Tarucha. Electrically driven single-electron spin resonance in a slanting Zeeman field. Nat. Phys. 4, 776–779 (2008).

  • Brunner, Pioro-Ladrière, Tarucha et al. Two-Qubit Gate of Combined Single-Spin Rotation and Interdot Spin Exchange in a Double Quantum Dot. Phys. Rev. Lett. 107, 146801 (2011).

 

 

Si/SiGe 

  • Zajac, D. M., Hazard, T. M., Mi, X., Nielsen, E. & Petta, J. R. Scalable Gate Architecture for a One-Dimensional Array of Semiconductor Spin Qubits. Phys. Rev. Appl. 6, 1–8 (2016).

 

 

 

Holes

 

Silicon CMOS

  • Maurand et al. A CMOS silicon spin qubit. Nat. Comm. 13575 (2016). 

Germanium

  •  Vukušić, Katsaros et al.  Single-Shot Readout of Hole Spins in Ge. Nano Lett. 18, 7141–7145 (2018).
  • Watzinger, H. et al. A germanium hole spin qubit. Nat. Commun. 9, 3902 (2018).

 

Strained Ge QW:

  • Hendrickx, Scappucci, Veldhorst, N. W. et al. Gate-controlled quantum dots and superconductivity in planar germanium. Nat. Commun. 9, 2835 (2018).
  • Hendrickx, spin qubit paper, Arxiv

 

GaAs

  • D. Q. Wang, O. Klochan, J.-T. Hung, D. Culcer, I. Farrer, D. A. Ritchie & A. R. Hamilton. Anisotropic Pauli Spin Blockade of Holes in a GaAs Double Quantum Dot. Nano Lett. 16, 7685–7689 (2016).

Advanced

  • T. F. Watson, S. G. J. Philips, E. Kawakami, D. R. Ward, P. Scarlino, M. Veldhorst, D. E. Savage, M. G. Lagally, Mark Friesen, S. N. Coppersmith, M. A. Eriksson & L. M. K. Vandersypen , A programmable two-qubit quantum processor in silicon, Nature volume 555, pages633–637(2018).
  • Zajac, Petta et al. Resonantly driven CNOT gate for electron spins. Science 359, 439–442 (2018).
  • M. Veldhorst, H. G. J. Eenink, C. H. Yang & A. S. Dzurak. Silicon CMOS architecture for a spin-based quantum computer. Nat. Commun. 8, (2017).

 

 

Reviews

  • C. Kloeffel & D. Loss. Prospects for Spin-Based Quantum Computing in Quantum Dots. Annu. Rev. Condens. Matter Phys. 4, 51–81 (2013).

 

 

 

 

Direct Rashba (theory)

C. Kloeffel, M. J. Rančić & D. Loss. Direct Rashba spin-orbit interaction in Si and Ge nanowires with different growth directions. Phys. Rev. B 97, 1–25 (2018).

F. Maier, C. Kloeffel & D. Loss. Tunable g factor and phonon-mediated hole spin relaxation in Ge/Si nanowire quantum dots. Phys. Rev. B 87, 161305 (2013).

C. Kloeffel, M. Trif, P. Stano & D. Loss. Circuit QED with hole-spin qubits in Ge/Si nanowire quantum dots. Phys. Rev. B 88, 241405 (2013).