Abstract
Encoding quantum information in continuous variables, as the quadrature of electromagnetic fields, is a powerful approach to quantum information science and technology1. Continuous-variable entanglement (light beams in Einstein–Podolsky–Rosen, or EPR2, states) is a key resource for quantum information protocols3 and enables hybridization between continuous-variable and single-photon discrete-variable qubit systems4. However, continuous-variable systems are currently limited by their implementation in free-space optical networks, and the demand for increased complexity, low loss, high-precision alignment and stability, as well as hybridization, require an alternative approach. Here we present an integrated photonic implementation of the key capabilities for continuous-variable quantum technologies—the generation and characterization of EPR beams in a photonic chip. When combined with integrated squeezing and non-Gaussian operations, these results will open the way to universal quantum information processing with light.
Access options
Subscribe to Journal
Get full journal access for 1 year
$169.00
only $14.08 per issue
All prices are NET prices.
VAT will be added later in the checkout.
Rent or Buy article
Get time limited or full article access on ReadCube.
from$8.99
All prices are NET prices.



References
- 1
O'Brien, J. L., Furusawa, A. & Vučković, J. Optical quantum computing. Nature Photon. 3, 687–695 (2009).
- 2
Einstein, A., Podolsky, B. & Rosen, N. Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777–780 (1935).
- 3
Braunstein, L. & van Loock, P. Quantum information with continuous variables. Rev. Mod. Phys 77, 513–577 (2005).
- 4
Furusawa, A. & van Loock, P. Quantum Teleportation and Entanglement: A Hybrid Approach to Optical Quantum Information Processing (Wiley-VCH Verlag, 2011).
- 5
Dowling, J. P. & Milburn, G. J. Quantum technology: the second quantum revolution. Phil. Trans. R. Soc. Lond. A 361, 1655–1674 (2003).
- 6
Bouwmeester, D. et al. Experimental quantum teleportation. Nature 390, 575–579 (1997).
- 7
O'Brien, J. L. Optical quantum computing. Science 318, 1567–1570 (2007).
- 8
Furusawa, A. et al. Unconditional quantum teleportation. Science 282, 706–709 (1998).
- 9
Weedbrook, C. et al. Gaussian quantum information. Rev. Mod. Phys. 84, 621–669 (2012).
- 10
Jeong, H. et al. Generation of hybrid entanglement of light. Nature Photon. 8, 564–569 (2014).
- 11
Morin, O. et al. Remote creation of hybrid entanglement between particle-like and wave-like optical qubits. Nature Photon. 8, 570–574 (2014).
- 12
Takeda, S. et al. Deterministic quantum teleportation of photonic quantum bits by a hybrid technique. Nature 500, 315–318 (2013).
- 13
Politi, A., Cryan, M. J., Rarity, J. G., Yu, S. & O'Brien, J. L. Silica-on-silicon waveguide quantum circuits. Science 320, 646–649 (2008).
- 14
Matthews, J. C. M., Politi, A., Stefanov, A. & O'Brien, J. L. Manipulation of multiphoton entanglement in waveguide quantum circuits. Nature Photon. 3, 346–350 (2009).
- 15
Shadbolt, P. J. et al. Generating, manipulating and measuring entanglement and mixture with a reconfigurable photonic circuit. Nature Photon. 6, 45–49 (2012).
- 16
Laing, A. et al. High-fidelity operation of quantum photonic circuits. Appl. Phys. Lett. 97, 211109 (2010).
- 17
Duan, L.-M., Giedke, G., Cirac, J. I. & Zoller, P. Inseparability criterion for continuous variable systems. Phys. Rev. Lett. 84, 2722–2725 (2000).
- 18
Simon, R. Peres–Horodecki separability criterion for continuous variable systems. Phys. Rev. Lett. 84, 2726–2729 (2000).
- 19
Zhang, T. C., Goh, K. W., Chou, C. W., Lodahl, P. & Kimble, H. J. Quantum teleportation of light field. Phys. Rev. A 67, 033802 (2003).
- 20
Sprengers, J. P. et al. Waveguide superconducting single-photon detectors for integrated quantum photonic circuits. Appl. Phys. Lett. 99, 181110 (2011).
- 21
Pernice, W. H. P. et al. High-speed and high-efficiency travelling wave single-photon detectors embedded in nanophotonic circuits. Nature Commun. 3, 1325 (2012).
- 22
Dakna, M., Anhut, T., Opatrný, T., Knöll, L. & Welsch, D.-G. Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter. Phys. Rev. A 55, 3184–3194 (1997).
- 23
Campbell, J. C. Recent advances in telecommunications avalanche photodiodes. J. Lightw. Technol. 25, 109–121 (2007).
- 24
Takeda, S. et al. Quantum mode filtering of non-Gaussian states for teleportation-based quantum information processing. Phys. Rev. A 85, 053824 (2012).
- 25
Suzuki, S., Yonezawa, H., Kannari, F., Sasaki, M. & Furusawa, A. 7 dB quadrature squeezing at 860 nm with periodically poled KTiOPO4 . Appl. Phys. Lett. 89, 061116 (2006).
- 26
Takeno, Y., Yukawa, M., Yonezawa, H. & Furusawa, A. Observation of −9 dB quadrature squeezing with improvement of phase stability in homodyne measurement. Opt. Express 15, 4321–7327 (2007).
- 27
Masada, G. et al. Efficient generation of highly squeezed light with periodically poled MgO:LiNbO3 . Opt. Express 18, 13114–13121 (2010).
Acknowledgements
The authors thank H. Bachor for advice. This work was partly supported by the Project for Developing Innovation Systems (PDIS), Grants-in-Aid for Scientific Research (GIA) and the Advanced Photon Science Alliance (APSA) commissioned by the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan, the Nippon Telegraph and Telephone Corporation (NTT), the Engineering and Physical Sciences Research Council (EPSRC), the European Research Council (ERC), Photonic Integrated Compound Quantum Encoding (PICQUE), Breaking the Barriers of Optical Integration (BBOI), the US Army Research Office (ARO; grant no. W911NF-14-1-0133) and the US Air Force Office of Scientific Research (AFOSR). J.L.O. acknowledges a Royal Society Wolfson Merit Award and a Royal Academy of Engineering Chair in Emerging Technologies.
Author information
Affiliations
Contributions
A.F. and J.L.O. planned the project. A.F. supervised the project. G.M. and K.M. conducted the experiment and data analysis. J.L.O. and A.P. developed the waveguide chip. T.H. provided experimental information. G.M., A.P., J.L.O. and A.F. wrote the manuscript with assistance from T.H. and K.M.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing financial interests.
Supplementary information
Supplementary information
Supplementary information (PDF 276 kb)
Rights and permissions
About this article
Cite this article
Masada, G., Miyata, K., Politi, A. et al. Continuous-variable entanglement on a chip. Nature Photon 9, 316–319 (2015). https://doi.org/10.1038/nphoton.2015.42
Received:
Accepted:
Published:
Issue Date:
Further reading
-
Generation of quantum entanglement based on electromagnetically induced transparency media
Optics Express (2021)
-
High performance and tunable optical pump-rejection filter for quantum photonic systems
Optics & Laser Technology (2021)
-
Continuous-variable entanglement in a two-mode lossy cavity: An analytic solution
Physical Review A (2021)
-
Generation of optical Schrödinger cat states by generalized photon subtraction
Physical Review A (2021)
-
Scalable multimode entanglement based on efficient squeezing of propagation eigenmodes
Physical Review Research (2021)