Skip to main content
Erschienen in: Quantum Information Processing 5/2019

01.05.2019

Quantum filtering for a two-level atom driven by two counter-propagating photons

verfasst von: Zhiyuan Dong, Guofeng Zhang, Nina H. Amini

Erschienen in: Quantum Information Processing | Ausgabe 5/2019

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The purpose of this paper is to propose quantum filters for a two-level atom driven by two continuous-mode counter-propagating photons and under continuous measurements. Two scenarios of multiple measurements are discussed: (1) homodyne detection plus photodetection and (2) two homodyne detections. Filtering equations for both cases are derived explicitly. As demonstration, the two input photons with rising exponential and Gaussian pulse shapes are used to excite a two-level atom under two homodyne detection measurements. Simulations reveal scaling relations between atom-photon coupling and photonic pulse shape for maximum atomic excitation.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Amini, H., Somaraju, R.A., Dotsenko, I., Sayrin, C., Mirrahimi, M., Rouchon, P.: Nondemolition measurements, feedback stabilization of discrete-time quantum systems subject to non-demolition measurements with imperfections and delays. Automatica 49(9), 2683–2692 (2013)MathSciNetMATHCrossRef Amini, H., Somaraju, R.A., Dotsenko, I., Sayrin, C., Mirrahimi, M., Rouchon, P.: Nondemolition measurements, feedback stabilization of discrete-time quantum systems subject to non-demolition measurements with imperfections and delays. Automatica 49(9), 2683–2692 (2013)MathSciNetMATHCrossRef
2.
Zurück zum Zitat Bachor, H.A., Ralph, T.C.: A Guide to Experiments in Quantum Optics. Wiley, Hoboken (2004)CrossRef Bachor, H.A., Ralph, T.C.: A Guide to Experiments in Quantum Optics. Wiley, Hoboken (2004)CrossRef
3.
Zurück zum Zitat Baragiola, B.Q., Combes, J.: Quantum trajectories for propagating fock states. Phys. Rev. A 96, 023819 (2017)ADSCrossRef Baragiola, B.Q., Combes, J.: Quantum trajectories for propagating fock states. Phys. Rev. A 96, 023819 (2017)ADSCrossRef
4.
Zurück zum Zitat Baragiola, B.Q., Cook, R.L., Brańczyk, A.M., Combes, J.: N-photon wave packets interacting with an arbitrary quantum system. Phys. Rev. A 86(1), 013811 (2012)ADSCrossRef Baragiola, B.Q., Cook, R.L., Brańczyk, A.M., Combes, J.: N-photon wave packets interacting with an arbitrary quantum system. Phys. Rev. A 86(1), 013811 (2012)ADSCrossRef
5.
Zurück zum Zitat Barchielli, A., Gregoratti, M.: Quantum Trajectories and Measurements in Continuous Time: The Diffusive Case. Springer, Berlin (2009)MATHCrossRef Barchielli, A., Gregoratti, M.: Quantum Trajectories and Measurements in Continuous Time: The Diffusive Case. Springer, Berlin (2009)MATHCrossRef
6.
Zurück zum Zitat Belavkin, V.P.: Nondemolition measurements, nonlinear filtering and dynamic programming of quantum stochastic processes. In: Blaquiére, A. (ed.) Modeling and Control of Systems. Lecture Notes in Control and Information Sciences, vol. 121, pp. 245–265. Springer, Berlin, Heidelberg (1989)CrossRef Belavkin, V.P.: Nondemolition measurements, nonlinear filtering and dynamic programming of quantum stochastic processes. In: Blaquiére, A. (ed.) Modeling and Control of Systems. Lecture Notes in Control and Information Sciences, vol. 121, pp. 245–265. Springer, Berlin, Heidelberg (1989)CrossRef
8.
Zurück zum Zitat Belavkin, V.P.: Quantum filtering of markov signals with white quantum noise. In: Belavkin, V.P., Hirota, O., Hudson, R.L. (eds.) Quantum Communications and Measurement, pp. 381–391. Springer, Boston, MA (1995)MATHCrossRef Belavkin, V.P.: Quantum filtering of markov signals with white quantum noise. In: Belavkin, V.P., Hirota, O., Hudson, R.L. (eds.) Quantum Communications and Measurement, pp. 381–391. Springer, Boston, MA (1995)MATHCrossRef
9.
Zurück zum Zitat Belavkin, V.P.: Quantum quasi-markov processes in eventum mechanics dynamics, observation, filtering and control. Quantum Inf. Process. 12, 1539–1626 (2013)ADSMathSciNetMATHCrossRef Belavkin, V.P.: Quantum quasi-markov processes in eventum mechanics dynamics, observation, filtering and control. Quantum Inf. Process. 12, 1539–1626 (2013)ADSMathSciNetMATHCrossRef
10.
Zurück zum Zitat Bouten, L., Handel, R.V., James, M.R.: An introduction to quantum filtering. SIAM J. Control Optim. 46(6), 2199–2241 (2007)MathSciNetMATHCrossRef Bouten, L., Handel, R.V., James, M.R.: An introduction to quantum filtering. SIAM J. Control Optim. 46(6), 2199–2241 (2007)MathSciNetMATHCrossRef
11.
Zurück zum Zitat Carvalho, A.R.R., Hush, M.R., James, M.R.: Cavity driven by a single photon: conditional dynamics and nonlinear phase shift. Phys. Rev. A 86(2), 023806 (2012)ADSCrossRef Carvalho, A.R.R., Hush, M.R., James, M.R.: Cavity driven by a single photon: conditional dynamics and nonlinear phase shift. Phys. Rev. A 86(2), 023806 (2012)ADSCrossRef
12.
Zurück zum Zitat Chia, A., Wiseman, H.M.: Quantum theory of multiple-input-multiple-output Markovian feedback with diffusive measurements. Phys. Rev. A 84(1), 012120 (2011)ADSCrossRef Chia, A., Wiseman, H.M.: Quantum theory of multiple-input-multiple-output Markovian feedback with diffusive measurements. Phys. Rev. A 84(1), 012120 (2011)ADSCrossRef
13.
Zurück zum Zitat Combes, J., Kerckhoff, J., Sarovar, M.: The SLH framework for modeling quantum input–output networks. Adv. Phys. X 2(3), 784–888 (2017) Combes, J., Kerckhoff, J., Sarovar, M.: The SLH framework for modeling quantum input–output networks. Adv. Phys. X 2(3), 784–888 (2017)
14.
Zurück zum Zitat Dong, Z., Zhang, G., Amini, H.: Quantum filtering for multiple measurements driven by fields in single-photon states. In: American Control Conference (ACC), pp. 4754–4759 (2016) Dong, Z., Zhang, G., Amini, H.: Quantum filtering for multiple measurements driven by fields in single-photon states. In: American Control Conference (ACC), pp. 4754–4759 (2016)
15.
Zurück zum Zitat Dong, Z., Zhang, G., Amini, H.: Quantum filtering for multiple measurements driven by two single-photon states. In: 12th World Congress on Intelligent Control and Automation (WCICA), pp. 3011–3015 (2016) Dong, Z., Zhang, G., Amini, H.: Quantum filtering for multiple measurements driven by two single-photon states. In: 12th World Congress on Intelligent Control and Automation (WCICA), pp. 3011–3015 (2016)
16.
Zurück zum Zitat Dong, Z., Zhang, G., Amini, H.: Single-photon quantum filtering with multiple measurements. Int. J. Adapt. Control Signal Process. 32(3), 528–546 (2018)MathSciNetMATHCrossRef Dong, Z., Zhang, G., Amini, H.: Single-photon quantum filtering with multiple measurements. Int. J. Adapt. Control Signal Process. 32(3), 528–546 (2018)MathSciNetMATHCrossRef
17.
Zurück zum Zitat Dum, R., Parkins, A.S., Zoller, P., Gardiner, C.W.: Monte Carlo simulation of master equations in quantum optics for vacuum, thermal, and squeezed reservoirs. Phys. Rev. A 46(7), 4382 (1992)ADSCrossRef Dum, R., Parkins, A.S., Zoller, P., Gardiner, C.W.: Monte Carlo simulation of master equations in quantum optics for vacuum, thermal, and squeezed reservoirs. Phys. Rev. A 46(7), 4382 (1992)ADSCrossRef
18.
Zurück zum Zitat Emzir, M.F., Woolley, M.J., Petersen, I.R.: Quantum filtering for multiple diffusive and Poissonian measurements. J. Phys. A: Math. Theor. 48(38), 385302 (2015)ADSMathSciNetMATHCrossRef Emzir, M.F., Woolley, M.J., Petersen, I.R.: Quantum filtering for multiple diffusive and Poissonian measurements. J. Phys. A: Math. Theor. 48(38), 385302 (2015)ADSMathSciNetMATHCrossRef
19.
Zurück zum Zitat Gao, Q., Dong, D., Petersen, I.R.: Fault tolerant quantum filtering and fault detection for quantum systems. Automatica 71, 125–134 (2016)MathSciNetMATHCrossRef Gao, Q., Dong, D., Petersen, I.R.: Fault tolerant quantum filtering and fault detection for quantum systems. Automatica 71, 125–134 (2016)MathSciNetMATHCrossRef
20.
Zurück zum Zitat Gao, Q., Dong, D., Petersen, I.R., Rabitz, H.: Fault tolerant filtering and fault detection for quantum systems driven by fields in single photon states. J. Math. Phys. 57(6), 062201 (2016)ADSMathSciNetMATHCrossRef Gao, Q., Dong, D., Petersen, I.R., Rabitz, H.: Fault tolerant filtering and fault detection for quantum systems driven by fields in single photon states. J. Math. Phys. 57(6), 062201 (2016)ADSMathSciNetMATHCrossRef
21.
Zurück zum Zitat Gao, Q., Zhang, G., Petersen, I.R.: An exponential quantum projection filter for open quantum systems. Automatica 99, 59–68 (2019)MathSciNetMATHCrossRef Gao, Q., Zhang, G., Petersen, I.R.: An exponential quantum projection filter for open quantum systems. Automatica 99, 59–68 (2019)MathSciNetMATHCrossRef
22.
Zurück zum Zitat Gardiner, C.W., Zoller, P.: Quantum Noise. Springer, Berlin (2004)MATH Gardiner, C.W., Zoller, P.: Quantum Noise. Springer, Berlin (2004)MATH
24.
Zurück zum Zitat Gough, J.E., James, M.R.: The series product and its application to quantum feedforward and feedback networks. IEEE Trans. Autom. Contr. 54(11), 2530–2544 (2009)MathSciNetMATHCrossRef Gough, J.E., James, M.R.: The series product and its application to quantum feedforward and feedback networks. IEEE Trans. Autom. Contr. 54(11), 2530–2544 (2009)MathSciNetMATHCrossRef
25.
Zurück zum Zitat Gough, J.E., James, M.R., Nurdin, H.I.: Single photon quantum filtering using non-Markovian embeddings. Philos. Trans. R. Soc. A 370(1979), 5408–5421 (2012)ADSMathSciNetMATHCrossRef Gough, J.E., James, M.R., Nurdin, H.I.: Single photon quantum filtering using non-Markovian embeddings. Philos. Trans. R. Soc. A 370(1979), 5408–5421 (2012)ADSMathSciNetMATHCrossRef
26.
Zurück zum Zitat Gough, J.E., James, M.R., Nurdin, H.I.: Quantum filtering for systems driven by fields in single photon states and superposition of coherent states using non-Markovian embeddings. Quantum Inf. Process. 12(3), 1469 (2013)ADSMathSciNetMATHCrossRef Gough, J.E., James, M.R., Nurdin, H.I.: Quantum filtering for systems driven by fields in single photon states and superposition of coherent states using non-Markovian embeddings. Quantum Inf. Process. 12(3), 1469 (2013)ADSMathSciNetMATHCrossRef
27.
Zurück zum Zitat Gough, J.E., James, M.R., Nurdin, H.I.: Quantum trajectories for a class of continuous matrix product input states. New J. Phys. 16(7), 075008 (2014)ADSCrossRef Gough, J.E., James, M.R., Nurdin, H.I.: Quantum trajectories for a class of continuous matrix product input states. New J. Phys. 16(7), 075008 (2014)ADSCrossRef
28.
Zurück zum Zitat Gough, J.E., James, M.R., Nurdin, H.I., Combes, J.: Quantum filtering for systems driven by fields in single-photon states or superposition of coherent states. Phys. Rev. A 86(4), 043819 (2012)ADSCrossRef Gough, J.E., James, M.R., Nurdin, H.I., Combes, J.: Quantum filtering for systems driven by fields in single-photon states or superposition of coherent states. Phys. Rev. A 86(4), 043819 (2012)ADSCrossRef
29.
Zurück zum Zitat Gough, J.E., Zhang, G.: Generating nonclassical quantum input field states with modulating filters. EPJ Quantum Technol. 2(1), 15 (2015)CrossRef Gough, J.E., Zhang, G.: Generating nonclassical quantum input field states with modulating filters. EPJ Quantum Technol. 2(1), 15 (2015)CrossRef
30.
Zurück zum Zitat Lodahl, P., Mahmoodian, S., Stobbe, S.: Interfacing single photons and single quantum dots with photonic nanostructures. Rev. Mod. Phys. 87(2), 347 (2015)ADSMathSciNetCrossRef Lodahl, P., Mahmoodian, S., Stobbe, S.: Interfacing single photons and single quantum dots with photonic nanostructures. Rev. Mod. Phys. 87(2), 347 (2015)ADSMathSciNetCrossRef
31.
Zurück zum Zitat Lodahl, P., Mahmoodian, S., Stobbe, S., Rauschenbeutel, A., Schneeweiss, P., Volz, J., Pichler, H., Zoller, P.: Chiral quantum optics. Nature 541(7638), 473 (2017)ADSCrossRef Lodahl, P., Mahmoodian, S., Stobbe, S., Rauschenbeutel, A., Schneeweiss, P., Volz, J., Pichler, H., Zoller, P.: Chiral quantum optics. Nature 541(7638), 473 (2017)ADSCrossRef
32.
Zurück zum Zitat Loudon, R.: The Quantum Theory of Light. Oxford University Press, Oxford (2000)MATH Loudon, R.: The Quantum Theory of Light. Oxford University Press, Oxford (2000)MATH
33.
Zurück zum Zitat Nurdin, H.I.: Quantum filtering for multiple input multiple output systems driven by arbitrary zero-mean jointly Gaussian input fields. Russ. J. Math. Phys. 21(3), 386–398 (2014)MathSciNetMATHCrossRef Nurdin, H.I.: Quantum filtering for multiple input multiple output systems driven by arbitrary zero-mean jointly Gaussian input fields. Russ. J. Math. Phys. 21(3), 386–398 (2014)MathSciNetMATHCrossRef
34.
Zurück zum Zitat Nysteen, A., Kristensen, P.T., McCutcheon, D.P., Kaer, P., Mørk, J.: Scattering of two photons on a quantum emitter in a one-dimensional waveguide: exact dynamics and induced correlations. New J. Phys. 17(2), 023030 (2015)ADSCrossRef Nysteen, A., Kristensen, P.T., McCutcheon, D.P., Kaer, P., Mørk, J.: Scattering of two photons on a quantum emitter in a one-dimensional waveguide: exact dynamics and induced correlations. New J. Phys. 17(2), 023030 (2015)ADSCrossRef
35.
Zurück zum Zitat Ogawa, H., Ohdan, H., Miyata, K., Taguchi, M., Makino, K., Yonezawa, H., Yoshikawa, Ji, Furusawa, A.: Real-time quadrature measurement of a single-photon wave packet with continuous temporal-mode matching. Phys. Rev. Lett. 116, 233602 (2016)ADSCrossRef Ogawa, H., Ohdan, H., Miyata, K., Taguchi, M., Makino, K., Yonezawa, H., Yoshikawa, Ji, Furusawa, A.: Real-time quadrature measurement of a single-photon wave packet with continuous temporal-mode matching. Phys. Rev. Lett. 116, 233602 (2016)ADSCrossRef
36.
Zurück zum Zitat Pan, Y., Dong, D., Zhang, G.: Exact analysis of the response of quantum systems to two-photons using a QSDE approach. New J. Phys. 18(3), 033004 (2016)ADSCrossRef Pan, Y., Dong, D., Zhang, G.: Exact analysis of the response of quantum systems to two-photons using a QSDE approach. New J. Phys. 18(3), 033004 (2016)ADSCrossRef
37.
Zurück zum Zitat Pan, Y., Zhang, G., James, M.R.: Analysis and control of quantum finite-level systems driven by single-photon input states. Automatica 69, 18–23 (2016)MathSciNetMATHCrossRef Pan, Y., Zhang, G., James, M.R.: Analysis and control of quantum finite-level systems driven by single-photon input states. Automatica 69, 18–23 (2016)MathSciNetMATHCrossRef
38.
Zurück zum Zitat Raymer, M.G., Noh, J., Banaszek, K., Walmsley, I.A.: Pure-state single-photon wave-packet generation by parametric down-conversion in a distributed microcavity. Phys. Rev. A 72(2), 023825 (2005)ADSCrossRef Raymer, M.G., Noh, J., Banaszek, K., Walmsley, I.A.: Pure-state single-photon wave-packet generation by parametric down-conversion in a distributed microcavity. Phys. Rev. A 72(2), 023825 (2005)ADSCrossRef
39.
Zurück zum Zitat Rag, H.S., Gea-Banacloche, J.: Two-level-atom excitation probability for single- and \(N\)-photon wave packets. Phys. Rev. A 96(3), 033817 (2017)ADS Rag, H.S., Gea-Banacloche, J.: Two-level-atom excitation probability for single- and \(N\)-photon wave packets. Phys. Rev. A 96(3), 033817 (2017)ADS
40.
Zurück zum Zitat Rephaeli, E., Fan, S.: Stimulated emission from a single excited atom in a waveguide. Phys. Rev. Lett. 108, 143602 (2012)ADSCrossRef Rephaeli, E., Fan, S.: Stimulated emission from a single excited atom in a waveguide. Phys. Rev. Lett. 108, 143602 (2012)ADSCrossRef
41.
Zurück zum Zitat Rephaeli, E., Shen, J.T., Fan, S.: Full inversion of a two-level atom with a single-photon pulse in one-dimensional geometries. Phys. Rev. A 82, 033804 (2010)ADSCrossRef Rephaeli, E., Shen, J.T., Fan, S.: Full inversion of a two-level atom with a single-photon pulse in one-dimensional geometries. Phys. Rev. A 82, 033804 (2010)ADSCrossRef
42.
Zurück zum Zitat Roulet, A., Scarani, V.: Solving the scattering of N photons on a two-level atom without computation. New J. Phys. 18(9), 093035 (2016)ADSCrossRef Roulet, A., Scarani, V.: Solving the scattering of N photons on a two-level atom without computation. New J. Phys. 18(9), 093035 (2016)ADSCrossRef
43.
Zurück zum Zitat Sarma, G., Hamerly, R., Tezak, N., Pavlichin, D.S., Mabuchi, H.: Transformation of quantum photonic circuit models by term rewriting. IEEE Photonics J. 5(1), 7500111 (2013)ADSCrossRef Sarma, G., Hamerly, R., Tezak, N., Pavlichin, D.S., Mabuchi, H.: Transformation of quantum photonic circuit models by term rewriting. IEEE Photonics J. 5(1), 7500111 (2013)ADSCrossRef
44.
45.
Zurück zum Zitat Stobinska, M., Alber, G., Leuchs, G.: Perfect excitation of a matter qubit by a single photon in free space. EPL (Europhysics Letters) 86(1), 14007 (2009)ADSCrossRef Stobinska, M., Alber, G., Leuchs, G.: Perfect excitation of a matter qubit by a single photon in free space. EPL (Europhysics Letters) 86(1), 14007 (2009)ADSCrossRef
46.
Zurück zum Zitat Sun, S., Kim, H., Luo, Z., Solomon, G.S., Waks, E.: A single-photon switch and transistor enabled by a solid-state quantum memory. Science 361(6397), 57–60 (2018)ADSCrossRef Sun, S., Kim, H., Luo, Z., Solomon, G.S., Waks, E.: A single-photon switch and transistor enabled by a solid-state quantum memory. Science 361(6397), 57–60 (2018)ADSCrossRef
47.
Zurück zum Zitat Tezak, N., Niederberger, A., Pavlichin, D.S., Sarma, G., Mabuchi, H.: Specification of photonic circuits using quantum hardware description language. Philos. Trans. R. Soc. A 370(1979), 5270–5290 (2012)ADSMathSciNetMATHCrossRef Tezak, N., Niederberger, A., Pavlichin, D.S., Sarma, G., Mabuchi, H.: Specification of photonic circuits using quantum hardware description language. Philos. Trans. R. Soc. A 370(1979), 5270–5290 (2012)ADSMathSciNetMATHCrossRef
48.
Zurück zum Zitat Wang, Y., Minář, J., Sheridan, L., Scarani, V.: Efficient excitation of a two-level atom by a single photon in a propagating mode. Phys. Rev. A 83(6), 063842 (2011)ADSCrossRef Wang, Y., Minář, J., Sheridan, L., Scarani, V.: Efficient excitation of a two-level atom by a single photon in a propagating mode. Phys. Rev. A 83(6), 063842 (2011)ADSCrossRef
49.
Zurück zum Zitat Wiseman, H.M., Milburn, G.J.: Quantum Measurement and Control. Cambridge University Press, Cambridge (2009)MATHCrossRef Wiseman, H.M., Milburn, G.J.: Quantum Measurement and Control. Cambridge University Press, Cambridge (2009)MATHCrossRef
50.
Zurück zum Zitat Yukawa, M., Miyata, K., Mizuta, T., Yonezawa, H., Marek, P., Filip, R., Furusawa, A.: Generating superposition of up-to three photons for continuous variable quantum information processing. Opt. Express 21(5), 5529–5535 (2013)ADSCrossRef Yukawa, M., Miyata, K., Mizuta, T., Yonezawa, H., Marek, P., Filip, R., Furusawa, A.: Generating superposition of up-to three photons for continuous variable quantum information processing. Opt. Express 21(5), 5529–5535 (2013)ADSCrossRef
51.
Zurück zum Zitat Zhang, G., James, M.R.: Quantum feedback networks and control: a brief survey. Chin. Sci. Bull. 57(18), 2200–2214 (2012)CrossRef Zhang, G., James, M.R.: Quantum feedback networks and control: a brief survey. Chin. Sci. Bull. 57(18), 2200–2214 (2012)CrossRef
52.
Metadaten
Titel
Quantum filtering for a two-level atom driven by two counter-propagating photons
verfasst von
Zhiyuan Dong
Guofeng Zhang
Nina H. Amini
Publikationsdatum
01.05.2019
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 5/2019
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2258-x

Weitere Artikel der Ausgabe 5/2019

Quantum Information Processing 5/2019 Zur Ausgabe

Neuer Inhalt