Abstract
According to quantum mechanics, a many-particle system is allowed to exhibit non-local behaviour, in that measurements performed on one of the particles can affect a second one that is far away. These so-called entangled states are crucial for the implementation of most quantum information protocols and, in particular, gates for quantum computation. Here we use ultrafast optical pulses and coherent techniques to create and control spin-entangled states in an ensemble of non-interacting electrons bound to donors (at least three) and at least two Mn2+ ions in a CdTe quantum well. Our method, relying on the exchange interaction between localized excitons and paramagnetic impurities, can in principle be applied to entangle an arbitrarily large number of spins.
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References
Wheeler, J.A. & Zurek, W.H. (eds) Quantum Theory and Measurements (Princeton Univ. Press, Princeton, 1983).
Kwiat, P.G., Berglund, A.J., Altepeter J.B. & White, A.G. Experimental verification of decoherence-free subspaces. Science 290, 498–501 (2000).
Rauschenbeutel, A. et al. Step-by-step engineered multiparticle entanglement. Science 288, 2024–2028 (2000).
Sackett, C.A. et al. Experimental entanglement of four particles. Nature 404, 256–259 (2000).
Nielsen, M.A. & Chuang, I.L. Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, 2000).
Piermarocchi, C., Chen, P., Sham, L.J. & Steel, D.G. Optical RKKY Interaction between Charged Semiconductor Quantum Dots. Phys. Rev. Lett. 89, 167402 (2002).
DiVincenzo, D.P., Bacon, D., Kempe, J., Burkard, G. & Whaley, K.B. Universal quantum computation with the exchange interaction. Nature 408, 339–342 (2000).
Burkard, G., Loss D. & DiVincenzo, D.P. Coupled quantum dots as quantum gates. Phys. Rev. B 59, 2070–2078 (1999).
O'Brien, J.L. et al. Towards the fabrication of phosphorus qubits for a silicon quantum computer. Phys. Rev. B 64, R161401 (2001).
Chen, G. et al. Optically induced entanglement of excitons in a single quantum dot. Science 289, 1906–1909 (2000).
Vandersypen, L.M.K. et al. Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance. Nature 414, 883–887 (2001).
Stühler, J. et al. Multiple Mn2+-spin-flip Raman scattering at high fields via magnetic polaron states in semimagnetic quantum wells. Phys. Rev. Lett. 74, 2567–2570 (1995); Erratum. Phys. Rev. Lett. 74, 4966 (1995).
Stühler, J. et al. Polarization properties of multiple Mn2+-spin-flip Raman scattering in semimagnetic quantum wells. J. Cryst. Growth 159, 1001–1004 (1996).
Merlin, R. et al. Multiphonon processes in YbS. Phys. Rev. B 17, 4951–4958 (1978).
Kavokin, K.V. & Merkulov, I.A. Multispin Raman paramagnetic resonance: Quantum dynamics of classically large angular momenta. Phys. Rev. B 55, R7371–R7374 (1997).
Martin, R.W. et al. Two-dimensional spin confinement in strained-layer quantum wells. Phys. Rev. B 42, 9237–9240 (1990).
Kumar, A.T.N., Rosca, F., Widom A. & Champion, P.M. Investigations of amplitude and phase excitation profiles in femtosecond coherence spectroscopy. J. Chem. Phys. 114, 701–724 (2001).
Pollard, W.T., Lee S.Y. & Mathies, R.A. Wave packet theory of dynamic absorption spectra in femtosecond pump–probe experiments. J. Chem. Phys. 92, 4012–4029 (1990).
Furdyna, J.K. Diluted magnetic semiconductors. J. Appl. Phys. 64, R29–R64 (1988).
Adleff, A., Hendorfer, G., Jantsch, W. & Faschinger, W. Diffusion of Mn-atoms during the growth of CdTe-MnTe superlattices. Mater. Sci. Forum 143–147, 1409–1413 (1994).
Kusrayev, Y.G., Koudinov, A.V., Wolverson, D. & Kossut, J. Anisotropy of spin-flip Raman scattering in CdTe/CdMnTe quantum wells. Phys. Status Solidi 229, 741–744 (2002).
Ramdas, A.K. & Rodriguez, S. in Light Scattering in Solids VI (eds Cardona M. & Güntherodt G.) Ch. 4. 137–206 (Springer, Berlin, 1991).
Crooker, S.A., Awschalom, D.D. & Samarth, N. Time-resolved Faraday rotation spectroscopy of spin dynamics in digital magnetic heterostructures. IEEE J. Sel. Top. Quant. 1, 1082–1092 (1995).
Crooker, S.A., Awschalom, D.D., Baumberg, J.J., Flack, F. & Samarth, N. Optical spin resonance and transverse spin relaxation in magnetic semiconductor quantum wells. Phys. Rev. B 56, 7574–7588 (1997).
Barkhuijsen, H., De Beer, R., Bovée, W.M.M.J. & van Ormondt, D. Retrieval of frequencies, amplitudes, damping factors, and phases from time-domain signals using a linear least-squares procedure. J. Mag. Res. 61, 465–481 (1985).
Wise, F.W., Rosker, M.J., Millhauser, G.L. & Tang, C.L. Application of linear prediction least-squares fitting to time-resolved optical spectroscopy. IEEE J. Quant. Elect. 23, 1116–1121 (1987).
Besombes, L., Kheng, K. & Martrou, D. Exciton and biexciton fine structure in single elongated islands grown on a vicinal surface. Phys. Rev. Lett. 85, 425–428 (2000).
Benoit à la Guillaume, C. & Lavallard, P. Excited states of an exciton bound to a neutral donor. Phys. Status Solidi B 70, K143–K145 (1975).
Boyd, R.W. Nonlinear Optics. Ch. 9, 365–397 (Academic, San Diego, 1992).
Acknowledgements
We acknowledge support from The Petroleum Research Fund, administered by the ACS (American Chemical Society), for partial support of this research. Work also supported by the NSF (National Science Foundation) under Grants No. PHY 0114336 and No. DMR 0072897, by the AFOSR(Air Force Office of Scientific Research) under contract F49620-00-1-0328 through the MURI program and by the DARPA-SpinS program. A.V.B. acknowledges partial support from CONICET (Consejo Nacional de Investigaciones Científicas y Técnicas), Argentina.
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Bao, J., Bragas, A., Furdyna, J. et al. Optically induced multispin entanglement in a semiconductor quantum well. Nature Mater 2, 175–179 (2003). https://doi.org/10.1038/nmat839
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DOI: https://doi.org/10.1038/nmat839
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