1.John A. Paulson School of Engineering and Applied Sciences, Harvard University, 9 Oxford Street, Cambridge, MA 02138, USA
2.Sparrow Quantum, 2000 Copenhagen, Denmark
3.Physics Department, Michigan Technological University, Houghton, MI, USA
4.Department of Physics and Namur Institute of Structured Materials, University of Namur, Rue de Bruxelles 51, 5000 Namur, Belgium
5.Electrical & Computer Engineering Department, Michigan Technological University, Houghton, MI, USA
Michaël Lobet (michael.lobet@unamur.be)
收稿:2025-01-21,
修回:2025-07-08,
录用:2025-07-27,
网络出版:2025-09-03,
纸质出版:2025-10-31
Scan QR Code
Olivia Mello, Larissa Vertchenko, Seth Nelson, 等. Long-range quantum entanglement in dielectric mu-near-zero metamaterials[J]. Light: Science & Applications, 2025,14(10):3182-3194.
Mello, O. et al. Long-range quantum entanglement in dielectric mu-near-zero metamaterials. Light: Science & Applications, 14, 3182-3194 (2025).
Olivia Mello, Larissa Vertchenko, Seth Nelson, 等. Long-range quantum entanglement in dielectric mu-near-zero metamaterials[J]. Light: Science & Applications, 2025,14(10):3182-3194. DOI: 10.1038/s41377-025-01994-9.
Mello, O. et al. Long-range quantum entanglement in dielectric mu-near-zero metamaterials. Light: Science & Applications, 14, 3182-3194 (2025). DOI: 10.1038/s41377-025-01994-9.
Entanglement is paramount in quantum information processing. Many quantum systems suffer from spatial decoherence in distances over a wavelength and cannot be sustained over short time periods due to dissipation. However
long range solutions are required for the development of quantum information processing on chip. Photonic reservoirs mediating the interactions between qubits and their environment are suggested. Recent research takes advantage of extended wavelength inside near-zero refractive index media to solve the long-range problem along with less sensitivity on the position of quantum emitters. However
those recent proposals use plasmonic epsilon near-zero waveguides that are intrinsically lossy. Here
we pro
pose a fully dielectric platform
compatible with the Nitrogen Vacancy (NV) diamond centers on-chip technology
to drastically improve the range of entanglement over 17 free-space wavelengths
or approximatively 12.5 µm
using mu near-zero metamaterials. We evaluate transient and steady state concurrence demonstrating an order of magnitude enhancement compared to previous works. This is
to the best of our knowledge
the first time that such a long distance is reported using this strategy. Moreover
value of the zero time delay second order correlation function
$$ {g}_{12}^{(2)}(0) $$
are provided
showing antibunching signature correlated with a high degree of concurrence.
Horodecki, R. et al. Quantum entanglement. Rev. Mod. Phys . 81 , 865–942 (2009)..
Nielsen, M. A. & Chuang, I. L. Quantum Computation and Quantum Information , 10th Anniversary Edition (Cambridge University Press, Cambridge, 2012).
Makhlin, Y., Schön, G. & Shnirman, A. Quantum-state engineering with Josephson-junction devices. Rev. Mod. Phys . 73 , 357–400 (2001)..
Hanson, R. et al. Spins in few-electron quantum dots. Rev. Mod. Phys . 79 , 1217–1265 (2007)..
Lienhard, B. et al. Bright and photostable single-photon emitter in silicon carbide. Optica 3 , 768 (2016)..
Gross, M. & Haroche, S. Superradiance: an essay on the theory of collective spontaneous emission. Phys. Rep . 93 , 301–396 (1982)..
Zurek, W. H. Decoherence, einselection, and the quantum origins of the classical. Rev. Mod. Phys . 75 , 715–775 (2003)..
Gangaraj, S. A. H. et al. Transient and steady-state entanglement mediated by three-dimensional plasmonic waveguides. Opt. Express 23 , 22330 (2015)..
Lin, Y. et al. Dissipative production of a maximally entangled steady state of two quantum bits. Nature 504 , 415–418 (2013)..
Dicke, R. H. Coherence in spontaneous radiation processes. Phys. Rev . 93 , 99–110 (1954)..
Duan, L. M. et al. Long-distance quantum communication with atomic ensembles and linear optics. Nature 414 , 413–418 (2001)..
Delteil, A. et al. Generation of heralded entanglement between distant hole spins. Nat. Phys . 12 , 218–223 (2016)..
Bernien, H. et al. Heralded entanglement between solid-state qubits separated by three metres. Nature 497 , 86–90 (2013)..
Żukowski, M. et al. "Event-ready-detectors" Bell experiment via entanglement swapping. Phys. Rev. Lett . 71 , 4287–4290 (1993)..
Meng, Y. J. et al. Deterministic photon source of genuine three-qubit entanglement. Nat. Commun . 15 , 7774 (2024)..
Silveirinha, M. & Engheta, N. Tunneling of electromagnetic energy through subwavelength channels and bends using ε -near-zero materials. Phys. Rev. Lett . 97 , 157403 (2006)..
Liberal, I. & Engheta, N. Near-zero refractive index photonics. Nat. Photonics 11 , 149–158 (2017)..
Vulis, D. I. et al. Manipulating the flow of light using Dirac-cone zero-index metamaterials. Rep. Prog. Phys . 82 , 012001 (2019)..
Lobet, M. et al. Momentum considerations inside near-zero index materials. Light Sci. Appl . 11 , 110 (2022)..
Lobet, M. et al. New horizons in near-zero refractive index photonics and hyperbolic metamaterials. ACS Photonics 10 , 3805–3820 (2023)..
Li, Y., Nemilentsau, A. & Argyropoulos, C. Resonance energy transfer and quantum entanglement mediated by epsilon-near-zero and other plasmonic waveguide systems. Nanoscale 11 , 14635–14647 (2019)..
Sokhoyan, R. & Atwater, H. A. Quantum optical properties of a dipole emitter coupled to an ɛ -near-zero nanoscale waveguide. Opt. Express 21 , 32279 (2013)..
Issah, I. & Caglayan, H. Qubit–qubit entanglement mediated by epsilon-near-zero waveguide reservoirs. Appl. Phys. Lett . 119 , 221103 (2021)..
Issah, I., Habib, M. & Caglayan, H. Long-range qubit entanglement via rolled-up zero-index waveguide. Nanophotonics 10 , 4579–4589 (2021)..
Gagnon, J. R. et al. Relaxed phase-matching constraints in zero-index waveguides. Phys. Rev. Lett . 128 , 203902 (2022)..
Li, Y. et al. On-chip zero-index metamaterials. Nat. Photonics 9 , 738–742 (2015)..
Kita, S. et al. On-chip all-dielectric fabrication-tolerant zero-index metamaterials. Opt. Express 25 , 8326 (2017)..
Vulis, D. I. et al. Monolithic CMOS-compatible zero-index metamaterials. Opt. Express 25 , 12381 (2017)..
Mello, O. et al. Extended many-body superradiance in diamond epsilon near-zero metamaterials. Appl. Phys. Lett . 120 , 061105 (2022)..
Lobet, M. et al. Fundamental radiative processes in near-zero-index media of various dimensionalities. ACS Photonics 7 , 1965–1970 (2020)..
Güney, D. Ö. & Meyer, D. A. Creation of entanglement and implementation of quantum logic gate operations using a three-dimensional photonic crystal single-mode cavity. J. Opt. Soc. Am. B 24 , 283–294 (2007)..
Güney, D. Ö. & Meyer, D. A. Integrated conditional teleportation and readout circuit based on a photonic crystal single chip. J. Opt. Soc. Am. B 24 , 391–397 (2007)..
Lamb, W. E. & Retherford, R. C. Fine structure of the hydrogen atom. Iv. Phys. Rev . 86 , 1014–1022 (1952)..
Dung, H. T., Knöll, L. & Welsch, D. G. Resonant dipole–dipole interaction in the presence of dispersing and absorbing surroundings. Phys. Rev. A 66 , 063810 (2002)..
Dzsotjan, D., Kästel, J. & Fleischhauer, M. Dipole–dipole shift of quantum emitters coupled to surface plasmons of a nanowire. Phys. Rev. B 84 , 075419 (2011)..
Ficek, Z. & Tanaś, R. Entanglement induced by spontaneous emission in spatially extended two-atom systems. J. Mod. Opt . 50 , 2765–2779 (2003)..
Ficek, Z. & Tanaś, R. Entangled states and collective nonclassical effects in two-atom systems. Phys. Rep . 372 , 369–443 (2002)..
Wootters, W. K. Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett . 80 , 2245–2248 (1998)..
Martín-Cano, D. et al. Dissipation-driven generation of two-qubit entanglement mediated by plasmonic waveguides. Phys. Rev. B 84 , 235306 (2011)..
Sipahigil, A. et al. An integrated diamond nanophotonics platform for quantum-optical networks. Science 354 , 847–850 (2016)..
Huang, X. Q. et al. Dirac cones induced by accidental degeneracy in photonic crystals and zero-refractive-index materials. Nat. Mater . 10 , 582–586 (2011)..
Chu, H. C. et al. A hybrid invisibility cloak based on integration of transparent metasurfaces and zero-index materials. Light Sci. Appl . 7 , 50 (2018)..
Ji, W. J. et al. Crosstalk prohibition at the deep-subwavelength scale by epsilon-near-zero claddings. Nanophotonics 12 , 2007–2017 (2023)..
Liberal, I. et al. Photonic doping of epsilon-near-zero media. Science 355 , 1058–1062 (2017)..
Luo, J., Li, J. & Lai, Y. Electromagnetic impurity-immunity induced by parity-time symmetry. Phys. Rev. X 8 , 031035 (2018)..
Wu, Y. et al. Effective medium theory for magnetodielectric composites: beyond the long-wavelength limit. Phys. Rev. B 74 , 085111 (2006)..
Smith, D. R. et al. Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients. Phys. Rev. B 65 , 195104 (2002)..
Smith, D. R. et al. Electromagnetic parameter retrieval from inhomogeneous metamaterials. Phys. Rev. E 71 , 036617 (2005)..
Markoš, P. & Soukoulis, C. M. Numerical studies of left-handed materials and arrays of split ring resonators. Phys. Rev. E 65 , 036622 (2002)..
Pendry, J. B. & MacKinnon, A. Calculation of photon dispersion relations. Phys. Rev. Lett . 69 , 2772–2775 (1992)..
Sakoda, K. Proof of the universality of mode symmetries in creating photonic Dirac cones. Opt. Express 20 , 25181–25194 (2012)..
Alù, A. & Engheta, N. Emission enhancement in a plasmonic waveguide at cut-off. Materials 4 , 141–152 (2011)..
Nelson, S. MNZ-long-range-entanglement https://github.com/srnelson-mtu/MNZ-long-range-entanglement https://github.com/srnelson-mtu/MNZ-long-range-entanglement (2025)..
Evans, R. E. et al. Narrow-linewidth homogeneous optical emitters in diamond nanostructures via silicon ion implantation. Phys. Rev. Appl . 5 , 044010 (2016)..
Scully, M. O. & Zubairy, M. S. Quantum Optics (Cambridge University Press, 1 997).
Sipahigil, A. et al. Indistinguishable photons from separated silicon-vacancy centers in diamond. Phys. Rev. Lett . 113 , 113602 (2014)..
Ding, S. W. et al. High- Q cavity interface for color centers in thin film diamond. Nat. Commun . 15 , 6358 (2024)..
O'Brien,J. L., Furusawa, A. & Vučković, J. Photonic quantum technologies. Nat. Photonics 3 , 687–695 (2009)..
Gritsch, A. et al. Narrow optical transitions in erbium-implanted silicon waveguides. Phys. Rev. X 12 , 041009 (2022)..
Yu, Y. et al. Ultra-coherent Fano laser based on a bound state in the continuum. Nat. Photonics 15 , 758–764 (2021)..
Yu, Y. et al. Demonstration of a self-pulsing photonic crystal Fano laser. Nat. Photonics 11 , 81–84 (2017)..
Zhou, C. et al. Cooperative excitonic quantum ensemble in perovskite-assembly superlattice microcavities. Nat. Commun . 11 , 329 (2020)..
Zhu, C. L. et al. Single-photon superradiance in individual caesium lead halide quantum dots. Nature 626 , 535–541 (2024)..
Yin, J. et al. Satellite-based entanglement distribution over 1200 kilometers. Science 356 , 1140–1144 (2017)..
Graham, T. M. et al. Multi-qubit entanglement and algorithms on a neutral-atom quantum computer. Nature 604 , 457–462 (2022)..
Li, Y. & Argyropoulos, C. Multiqubit entanglement and quantum phase gates with epsilon-near-zero plasmonic waveguides. Appl. Phys. Lett . 119 , 211104 (2021)..
0
浏览量
0
Downloads
0
CSCD
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621