Advertisement

Weaving an entangled cluster

Entanglement is a powerful resource for quantum computation and information processing. One requirement is the ability to entangle multiple particles reliably. Schwartz et al. created an on-demand entangled cluster state of several photons by addressing a quantum dot with a sequence of laser pulses (see the Perspective by Briegel). They used an internal state of the quantum dot, a dark exciton, and its association with another internal state, a biexciton, to weave successive photons into an entangled cluster, generating entanglement between up to five photons.
Science, this issue p. 434; see also p. 416

Abstract

Photonic cluster states are a resource for quantum computation based solely on single-photon measurements. We use semiconductor quantum dots to deterministically generate long strings of polarization-entangled photons in a cluster state by periodic timed excitation of a precessing matter qubit. In each period, an entangled photon is added to the cluster state formed by the matter qubit and the previously emitted photons. In our prototype device, the qubit is the confined dark exciton, and it produces strings of hundreds of photons in which the entanglement persists over five sequential photons. The measured process map characterizing the device has a fidelity of 0.81 with that of an ideal device. Further feasible improvements of this device may reduce the resources needed for optical quantum information processing.
Get full access to this article

View all available purchase options and get full access to this article.

Already a Subscriber?

Supplementary Material

Summary

Materials and Methods
Figs. S1 to S9
Tables S1 and S2
References (3954)

Resources

File (schwartz-sm.pdf)

References and Notes

1
Aspect A., Dalibard J., Roger G., Experimental Test of Bell’s Inequalities Using Time- Varying Analyzers. Phys. Rev. Lett. 49, 1804–1807 (1982).
2
Ladd T. D., Jelezko F., Laflamme R., Nakamura Y., Monroe C., O’Brien J. L., Quantum computers. Nature 464, 45–53 (2010).
3
Kimble H. J., The quantum internet. Nature 453, 1023–1030 (2008).
4
Żukowski M., Zeilinger A., Horne M. A., Ekert A. K., “Event-ready-detectors” Bell experiment via entanglement swapping. Phys. Rev. Lett. 71, 4287–4290 (1993).
5
Briegel H. J., Dür W., Cirac J. I., Zoller P., Quantum repeaters: The role of imperfect local operations in quantum communication. Phys. Rev. Lett. 81, 5932–5935 (1998).
6
P. Shor, Proceedings of the 35th Annual Symposium on the Foundations of Computer Science (1994), pp. 124–134.
7
L. K. Grover, Proceedings of the 28th Annual ACM Symposium on the Theory of Computing (1996), p. 212.
8
Briegel H. J., Raussendorf R., Persistent entanglement in arrays of interacting particles. Phys. Rev. Lett. 86, 910–913 (2001).
9
Raussendorf R., Browne D. E., Briegel H. J., Measurement-based quantum computation on cluster states. Phys. Rev. A 68, 022312 (2003).
10
Mandel O., Greiner M., Widera A., Rom T., Hänsch T. W., Bloch I., Controlled collisions for multi-particle entanglement of optically trapped atoms. Nature 425, 937–940 (2003).
11
Lanyon B. P., Jurcevic P., Zwerger M., Hempel C., Martinez E. A., Dür W., Briegel H. J., Blatt R., Roos C. F., Measurement-based quantum computation with trapped ions. Phys. Rev. Lett. 111, 210501 (2013).
12
Yokoyama S., Ukai R., Armstrong S. C., Sornphiphatphong C., Kaji T., Suzuki S., Yoshikawa J.-, Yonezawa H., Menicucci N. C., Furusawa A., Ultra-large-scale continuous-variable cluster states multiplexed in the time domain. Nat. Photonics 7, 982–986 (2013).
13
Walther P., Resch K. J., Rudolph T., Schenck E., Weinfurter H., Vedral V., Aspelmeyer M., Zeilinger A., Experimental one-way quantum computing. Nature 434, 169–176 (2005).
14
Prevedel R., Walther P., Tiefenbacher F., Böhi P., Kaltenbaek R., Jennewein T., Zeilinger A., High-speed linear optics quantum computing using active feed-forward. Nature 445, 65–69 (2007).
15
Tokunaga Y., Kuwashiro S., Yamamoto T., Koashi M., Imoto N., Generation of high-fidelity four-photon cluster state and quantum-domain demonstration of one-way quantum computing. Phys. Rev. Lett. 100, 210501 (2008).
16
Lu C.-Y., Zhou X.-Q., Gühne O., Gao W.-B., Zhang J., Yuan Z.-S., Goebel A., Yang T., Pan J.-W., Experimental entanglement of six photons in graph states. Nat. Phys. 3, 91–95 (2007).
17
Dekel E., Gershoni D., Ehrenfreund E., Garcia J. M., Petroff P. M., Carrier-carrier correlations in an optically excited single semiconductor quantum dot. Phys. Rev. B 61, 11009–11020 (2000).
18
Michler P., Kiraz A., Becher C., Schoenfeld W. V., Petroff P. M., Zhang L., Hu E., Imamoglu A., A quantum dot single-photon turnstile device. Science 290, 2282–2285 (2000).
19
Akopian N., Lindner N. H., Poem E., Berlatzky Y., Avron J., Gershoni D., Gerardot B. D., Petroff P. M., Entangled photon pairs from semiconductor quantum dots. Phys. Rev. Lett. 96, 130501 (2006).
20
Dousse A., Suffczyński J., Beveratos A., Krebs O., Lemaître A., Sagnes I., Bloch J., Voisin P., Senellart P., Ultrabright source of entangled photon pairs. Nature 466, 217–220 (2010).
21
Müller M., Bounouar S., Jons K. D., Glassl M., Michler P., On-demand generation of indistinguishable polarization-entangled photon pairs. Nat. Photonics 8, 224–228 (2014).
22
Lindner N. H., Rudolph T., Proposal for pulsed on-demand sources of photonic cluster state strings. Phys. Rev. Lett. 103, 113602 (2009).
23
Gao W. B., Fallahi P., Togan E., Miguel-Sanchez J., Imamoglu A., Observation of entanglement between a quantum dot spin and a single photon. Nature 491, 426–430 (2012).
24
De Greve K., Yu L., McMahon P. L., Pelc J. S., Natarajan C. M., Kim N. Y., Abe E., Maier S., Schneider C., Kamp M., Höfling S., Hadfield R. H., Forchel A., Fejer M. M., Yamamoto Y., Quantum-dot spin-photon entanglement via frequency downconversion to telecom wavelength. Nature 491, 421–425 (2012).
25
Schaibley J. R., Burgers A. P., McCracken G. A., Duan L. M., Berman P. R., Steel D. G., Bracker A. S., Gammon D., Sham L. J., Demonstration of quantum entanglement between a single electron spin confined to an InAs quantum dot and a photon. Phys. Rev. Lett. 110, 167401 (2013).
26
Reiserer A., Kalb N., Rempe G., Ritter S., A quantum gate between a flying optical photon and a single trapped atom. Nature 508, 237–240 (2014).
27
Poem E., Kodriano Y., Tradonsky C., Lindner N. H., Gerardot B. D., Petroff P. M., Gershoni D., Accessing the dark exciton with light. Nat. Phys. 6, 993–997 (2010).
28
Schwartz I., Schmidgall E. R., Gantz L., Cogan D., Bordo E., Don Y., Zielinski M., Gershoni D., Deterministic writing and control of the dark exciton spin using single short optical pulses. Phys. Rev. X 5, 011009 (2015). 10.1103/PhysRevX.5.011009
29
Schwartz I., Cogan D., Schmidgall E. R., Gantz L., Don Y., Zieliński M., Gershoni D., Deterministic coherent writing of a long-lived semiconductor spin qubit using one ultrafast optical pulse. Phys. Rev. B 92, 201201 (2015).
30
Materials and methods are available as supplementary materials on Science Online.
31
Identical conclusions are obtained if the higher energy DE eigenstate is the |+X state (28).
32
Schmidgall E. R., Schwartz I., Cogan D., Gantz L., Heindel T., Reitzenstein S., Gershoni D., All-optical depletion of dark excitons from a semiconductor quantum dot. Appl. Phys. Lett. 106, 193101 (2015).
33
Popp M., Verstraete F., Martín-Delgado M. A., Cirac J. I., Localizable entanglement. Phys. Rev. A 71, 042306 (2005).
34
Peres A., Separability criterion for density matrices. Phys. Rev. Lett. 77, 1413–1415 (1996).
35
Tóth G., Gühne O., Entanglement detection in the stabilizer formalism. Phys. Rev. A 72, 022340 (2005).
36
Marsili F., Verma V. B., Stern J. A., Harrington S., Lita A. E., Gerrits T., Vayshenker I., Baek B., Shaw M. D., Mirin R. P., Nam S. W., Detecting single infrared photons with 93% system efficiency. Nat. Photonics 7, 210–214 (2013).
37
Economou S. E., Lindner N., Rudolph T., Optically generated 2-dimensional photonic cluster state from coupled quantum dots. Phys. Rev. Lett. 105, 093601 (2010).
38
Raussendorf R., Harrington J., Fault-tolerant quantum computation with high threshold in two dimensions. Phys. Rev. Lett. 98, 190504 (2007).
39
Garc J. M.í, a G., Medeiros-Ribeiro K., Schmidt T., Ngo J. L., Feng A., Lorke J., Kotthaus P. M., Petroff, Intermixing and shape changes during the formation of InAs self-assembled quantum dots. Appl. Phys. Lett. 71, 2014 (1997).
40
Ramon G., Mizrahi U., Akopian N., Braitbart S., Gershoni D., Reinecke T., Gerardot B., Petroff P., Emission characteristics of quantum dots in planar microcavities. Phys. Rev. B 73, 205330 (2006).
41
Schmidgall E. R., Schwartz I., Gantz L., Cogan D., Raindel S., Gershoni D., Deterministic generation of a quantum-dot-confined triexciton and its radiative decay via three-photon cascade. Phys. Rev. B 90, 241411 (2014).
42
P. Yu, M. Cardona, Fundamentals of Semiconductors: Physics and Materials Properties (Springer, 2010), fourth ed.
43
McFarlane J., Dalgarno P. A., Gerardot B. D., Hadfield R. H., Warburton R. J., Karrai K., Badolato A., Petroff P. M., Gigahertz bandwidth electrical control over a dark exciton-based memory bit in a single quantum dot. Appl. Phys. Lett. 94, 093113 (2009).
44
Bayer M., Ortner G., Stern O., Kuther A., Gorbunov A. A., Forchel A., Hawrylak P., Fafard S., Hinzer K., Reinecke T. L., Walck S. N., Reithmaier J. P., Klopf F., Schäfer F., Fine structure of neutral and charged excitons in self-assembled In(Ga)As/(Al)GaAs quantum dots. Phys. Rev. B 65, 195315 (2002).
45
James D. F. V., Kwiat P. G., Munro W. J., White A. G., Measurement of qubits. Phys. Rev. A 64, 052312 (2001).
46
Vidal G., Werner R. F., Computable measure of entanglement. Phys. Rev. A 65, 032314 (2002).
47
Chuang I. L., Nielsen M. A., Prescription for experimental determination of the dynamics of a quantum black box. J. Mod. Opt. 44, 2455–2467 (1997).
48
Poyatos J. F., Cirac J. I., Zoller P., Complete characterization of a quantum process: The two-bit quantum gate. Phys. Rev. Lett. 78, 390–393 (1997).
49
Choi M.-D., Completely positive linear maps on complex matrices. Linear Algebra Appl. 10, 285–290 (1975).
50
Verstraete F., Popp M., Cirac J. I., Entanglement versus correlations in spin systems. Phys. Rev. Lett. 92, 027901 (2004).
51
Blinov B. B., Moehring D. L., Duan L., Monroe C., Observation of entanglement between a single trapped atom and a single photon. Nature 428, 153–157 (2004).
52
Togan E., Chu Y., Trifonov A. S., Jiang L., Maze J., Childress L., Dutt M. V., Sørensen A. S., Hemmer P. R., Zibrov A. S., Lukin M. D., Quantum entanglement between an optical photon and a solid-state spin qubit. Nature 466, 730–734 (2010).
53
Horodecki M., Horodecki P., Horodecki R., Separability of mixed states: Necessary and sufficient conditions. Phys. Lett. A 223, 1–8 (1996).
54
Jozsa R., Fidelity for mixed quantum states. J. Mod. Opt. 41, 2315–2323 (1994).

Information & Authors

Information

Published In

Science
Volume 354 | Issue 6311
28 October 2016

Article versions

You are viewing the most recent version of this article.

Submission history

Received: 1 July 2016
Accepted: 30 August 2016
Published in print: 28 October 2016

Permissions

Request permissions for this article.

Acknowledgments

We are grateful to P. Petroff for the sample growth and to T. Rudolph and J. Avron for useful discussions. The support of the Israeli Science Foundation (ISF), the Technion’s RBNI, and the Israeli Nanotechnology Focal Technology Area on Nanophotonics for Detection is gratefully acknowledged. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No 695188). The authors declare that they have no competing financial interests. The relevant data appear in this Research Article and in its supplementary materials.

Authors

Affiliations

I. Schwartz*
Physics Department and Solid State Institute, Technion–Israel Institute of Technology, 32000 Haifa, Israel.
D. Cogan*
Physics Department and Solid State Institute, Technion–Israel Institute of Technology, 32000 Haifa, Israel.
E. R. Schmidgall
Physics Department and Solid State Institute, Technion–Israel Institute of Technology, 32000 Haifa, Israel.
Department of Physics, University of Washington, Seattle, WA 98195, USA.
Y. Don
Physics Department and Solid State Institute, Technion–Israel Institute of Technology, 32000 Haifa, Israel.
L. Gantz
Physics Department and Solid State Institute, Technion–Israel Institute of Technology, 32000 Haifa, Israel.
O. Kenneth
Physics Department and Solid State Institute, Technion–Israel Institute of Technology, 32000 Haifa, Israel.
N. H. Lindner
Physics Department and Solid State Institute, Technion–Israel Institute of Technology, 32000 Haifa, Israel.
Physics Department and Solid State Institute, Technion–Israel Institute of Technology, 32000 Haifa, Israel.

Notes

*
These authors contributed equally to this work.
†Corresponding author. Email: [email protected]

Metrics & Citations

Metrics

Article Usage
Altmetrics

Citations

Export citation

Select the format you want to export the citation of this publication.

Cited by
  1. Semiconductor quantum dots: Technological progress and future challenges, Science, 373, 6555, (2021)./doi/10.1126/science.aaz8541
    Abstract
  2. Highlighting photonics: looking into the next decade, eLight, 1, 1, (2021).https://doi.org/10.1186/s43593-021-00002-y
    Crossref
  3. Heralded preparation of spin qubits in droplet-etched GaAs quantum dots using quasiresonant excitation, Physical Review B, 104, 7, (2021).https://doi.org/10.1103/PhysRevB.104.075301
    Crossref
  4. Deterministic generation of high-dimensional entanglement between distant atomic memories via multiphoton exchange, Physical Review A, 103, 6, (2021).https://doi.org/10.1103/PhysRevA.103.062611
    Crossref
  5. Coupling of a single tin-vacancy center to a photonic crystal cavity in diamond, Applied Physics Letters, 118, 23, (230601), (2021).https://doi.org/10.1063/5.0051675
    Crossref
  6. Creating and concentrating quantum resource states in noisy environments using a quantum neural network, Neural Networks, 136, (141-151), (2021).https://doi.org/10.1016/j.neunet.2021.01.003
    Crossref
  7. A bright and fast source of coherent single photons, Nature Nanotechnology, 16, 4, (399-403), (2021).https://doi.org/10.1038/s41565-020-00831-x
    Crossref
  8. Coherent Spin-Photon Interface with Waveguide Induced Cycling Transitions, Physical Review Letters, 126, 1, (2021).https://doi.org/10.1103/PhysRevLett.126.013602
    Crossref
  9. Driven dynamics of a quantum dot electron spin coupled to a bath of higher-spin nuclei, Physical Review B, 103, 23, (2021).https://doi.org/10.1103/PhysRevB.103.235301
    Crossref
  10. Maximally entangled and gigahertz-clocked on-demand photon pair source, Physical Review B, 103, 7, (2021).https://doi.org/10.1103/PhysRevB.103.075413
    Crossref
  11. See more
Loading...

View Options

Get Access

Log in to view the full text

AAAS ID LOGIN

AAAS login provides access to Science for AAAS Members, and access to other journals in the Science family to users who have purchased individual subscriptions.

Log in via OpenAthens.
Log in via Shibboleth.
More options

Register for free to read this article

As a service to the community, this article is available for free. Login or register for free to read this article.

Purchase this issue in print

Buy a single issue of Science for just $15 USD.

View options

PDF format

Download this article as a PDF file

Download PDF

Media

Figures

Multimedia

Tables

Share

Share

Share article link

Share on social media