Error distributions on large entangled states with non-Markovian dynamics

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We investigate the distribution of errors on a computationally useful entangled state generated via the repeated emission from an emitter undergoing strongly non-Markovian evolution. For emitter-environment coupling of pure-dephasing form, we show that the probability that a particular patten of err...

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Autor principal: McCutcheon, D.P.S
Otros Autores: Lindner, N.H, Rudolph, T.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: American Physical Society 2014
Acceso en línea:Registro en Scopus
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100 1 |a McCutcheon, D.P.S. 
245 1 0 |a Error distributions on large entangled states with non-Markovian dynamics 
260 |b American Physical Society  |c 2014 
270 1 0 |m McCutcheon, D.P.S.; Blackett Laboratory, Imperial College LondonUnited Kingdom 
506 |2 openaire  |e Política editorial 
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504 |a Alicki, R., arXiv:quant-ph/0411008; Kalai, G., arXiv:1106.0485;; Kalai, G., arXiv:0904.3265;; Kalai, G., arXiv:0806.2443;; Kalai, G., arXiv:quant-ph/0607021;; Kalai, G., arXiv:quant-ph/0508095; Aharonov, D., Ben-Or, M., (1997) Proceedings of the Twenty-ninth Annual ACM Symposium on Theory of Computing, STOC'97, pp. 176-188. , (ACM, New York) 
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504 |a Aharonov, D., Kitaev, A., Preskill, J., (2006) Phys. Rev. Lett., 96, p. 050504 
504 |a Preskill, J., (2013) Quant. Inf. Comput., 13, p. 181 
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504 |a Breuer, H.-P., Petruccione, F., (2002) The Theory of Open Quantum Systems, , (Oxford University Press, New York) 
504 |a Galai, R., Harrow, A., http://rjlipton.wordpress.com/2012/01/30/; Flammia, S.T., Harrow, A.W., (2013) Quant. Inf. Comput., 13, p. 1 
504 |a Raussendorf, R., Briegel, H.J., (2001) Phys. Rev. Lett., 86, p. 5188 
504 |a Raussendorf, R., Browne, D.E., Briegel, H.J., (2003) Phys. Rev. A, 68, p. 022312 
504 |a Lindner, N.H., Rudolph, T., (2009) Phys. Rev. Lett., 103, p. 113602 
504 |a While linear cluster states are not sufficient for universal computation, using linear optics alone, they may be fused into higher dimension structures [23], and it seems implausible that a complicated error structure could accumulate owing to the fusion process; Browne, D.E., Rudolph, T., (2005) Phys. Rev. Lett., 95, p. 010501 
504 |a Li, Y., Aolita, L., Kwek, L.C., (2011) Phys. Rev. A, 83, p. 032313 
504 |a Economou, S.E., Lindner, N., Rudolph, T., (2010) Phys. Rev. Lett., 105, p. 093601 
504 |a Lin, Q., He, B., (2010) Phys. Rev. A, 82, p. 022331 
504 |a To see this most clearly, one must insert (Equation presented) operators to the right of the (Equation presented) operators in Eq. (1), which has no effect on the initial state; Cywiński, Ł., Witzel, W.M., Das Sarma, S., (2009) Phys. Rev. B, 79, p. 245314 
504 |a Cywiński, Ł., Witzel, W.M., Das Sarma, S., (2009) Phys. Rev. Lett., 102, p. 057601 
504 |a Coish, W.A., Fischer, J., Loss, D., (2010) Phys. Rev. B, 81, p. 165315 
504 |a Barnes, E., Cywiński, Ł., Das Sarma, S., (2012) Phys. Rev. Lett., 109, p. 140403 
504 |a The coupling coefficients follow a Gaussian distribution, (Equation presented) such that (Equation presented) independent of (Equation presented). Similarly (Equation presented) such that (Equation presented), while (Equation presented) 
520 3 |a We investigate the distribution of errors on a computationally useful entangled state generated via the repeated emission from an emitter undergoing strongly non-Markovian evolution. For emitter-environment coupling of pure-dephasing form, we show that the probability that a particular patten of errors occurs has a bound of Markovian form, and thus, accuracy threshold theorems based on Markovian models should be just as effective. Beyond the pure-dephasing assumption, though complicated error structures can arise, they can still be qualitatively bounded by a Markovian error model. © 2014 American Physical Society.  |l eng 
593 |a Blackett Laboratory, Imperial College London, London, SW7 2AZ, United Kingdom 
593 |a Departamento de Física, FCEyN, Conicet, Pabellón 1, Buenos Aires, 1428, Argentina 
593 |a Department of Physics, Technion - Israel Institute of Technology, Haifa, 32000, Israel 
593 |a Department of Photonics Engineering, DTU Fotonik, Ørsteds Plads, Kongens Lyngby, 2800, Denmark 
690 1 0 |a MARKOV PROCESSES 
690 1 0 |a QUANTUM ENTANGLEMENT 
690 1 0 |a ENTANGLED STATE 
690 1 0 |a ERROR DISTRIBUTIONS 
690 1 0 |a ERROR MODEL 
690 1 0 |a ERROR STRUCTURES 
690 1 0 |a MARKOVIAN MODEL 
690 1 0 |a NON-MARKOVIAN DYNAMICS 
690 1 0 |a NON-MARKOVIAN EVOLUTIONS 
690 1 0 |a PURE-DEPHASING 
690 1 0 |a ERRORS 
700 1 |a Lindner, N.H. 
700 1 |a Rudolph, T. 
773 0 |d American Physical Society, 2014  |g v. 113  |k n. 26  |p Phys Rev Lett  |x 00319007  |w (AR-BaUEN)CENRE-386  |t Physical Review Letters 
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856 4 0 |u https://doi.org/10.1103/PhysRevLett.113.260503  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_00319007_v113_n26_p_McCutcheon  |y Handle 
856 4 0 |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v113_n26_p_McCutcheon  |y Registro en la Biblioteca Digital 
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963 |a VARI 
999 |c 74958 

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