Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
ATZ-Fachkongress

Chassis.tech plus 2024


4 Kongresse in einer Veranstaltung

Treffen Sie in München die Fachleute von Chassis, Lenkung, Bremsen sowie Reifen/Räder.
Erweiterte Suche
Anmelden
nach oben
Quantum Information Processing
Erschienen in: Quantum Information Processing 12/2016

01.12.2016

Discrete quantum Fourier transform using weak cross-Kerr nonlinearity and displacement operator and photon-number-resolving measurement under the decoherence effect

verfasst von: Jino Heo, Min-Sung Kang, Chang-Ho Hong, Hyeon Yang, Seong-Gon Choi

Erschienen in: Quantum Information Processing | Ausgabe 12/2016

Einloggen

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

search-config
loading …

Abstract

We present a scheme for implementing discrete quantum Fourier transform (DQFT) with robustness against the decoherence effect using weak cross-Kerr nonlinearities (XKNLs). The multi-photon DQFT scheme can be achieved by operating the controlled path and merging path gates that are formed with weak XKNLs and linear optical devices. To enhance feasibility under the decoherence effect, in practice, we utilize a displacement operator and photon-number-resolving measurement in the optical gate using XKNLs. Consequently, when there is a strong amplitude of the coherent state, we demonstrate that it is possible to experimentally implement the DQFT scheme, utilizing current technology, with a certain probability of success under the decoherence effect.
Vorheriger Artikel Preparing entangled states by Lyapunov control
Nächster Artikel Sequential generation of polynomial invariants and N-body non-local correlations

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren
Literatur
1.
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH
2.
Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings, 35th Annual Symposium on Foundations of Computer Science, vol. 124 (1994)
3.
Grover, L.: Quantum mechanics helps in searching for a needle in a haystack. Phys. Rev. Lett. 79, 325 (1997)ADSCrossRef
4.
5.
Simon, D.: On the power of quantum computation. In: Proceedings, 35th Annual Symposium on Foundations of Computer Science, vol. 116 (1994)
6.
Jozsa, R.: Quantum algorithm and the Fourier transform. Proc. R. Soc. Lond.: Ser. A 454, 323 (1998)
7.
Scully, M., Zubairy, M.: Cavity QED implementation of the discrete quantum Fourier transform. Phys. Rev. A 65, 052324 (2002)ADSCrossRef
8.
Wang, H.F., Zhang, S., Yeon, K.H.: Implementing quantum discrete Fourier transform by using cavity quantum electrodynamics. J. korean Phys. Soc. 53, 1787 (2008)
9.
Wang, H.F., Zhu, A.D., Zhang, S., Yeon, K.H.: Simple implementation of discrete quantum Fourier transform via cavity quantum electrodynamics. New J. Phys. 13, 013021 (2011)ADSCrossRef
10.
Wang, H.F., Zhang, S., Zhu, A.D., Yeon, K.H.: Fast and effective implementation of discrete quantum Fourier transform via virtual-photon-induced process in separate cavities. J. Opt. Soc. Am. B 29, 1078 (2012)ADSCrossRef
11.
Weinstein, Y., Pravia, M., Fortunato, E.: Implementation of the quantum Fourier transform. Phys. Rev. Lett. 86, 1889 (2001)ADSCrossRef
12.
Zhang, J., Long, G., Deng, Z., Liu, W., Lu, Z.: Nuclear magnetic resonance implementation of a quantum clock synchronization algorithm. Phys. Rev. A 70, 062322 (2004)ADSCrossRef
13.
Cirac, J., Zoller, P.: Quantum computations with cold trapped ions. Phys. Rev. Lett. 74, 4091 (1995)ADSCrossRef
14.
Gulde, S., Riebe, M., Lancaster, G.P.T., Becher, C., Eschner, J., Häffner, H., Schmidt-Kaler, F., Chuang, I.L., Blatt, R.: Implementation of the Deutsch–Jozsa algorithm on an ion-trap quantum computer. Nature 421, 48 (2003)ADSCrossRef
15.
Fujiwara, S., Hasegawa, S.: General method for realizing the conditional phase-shift gate and a simulation of Grover’s algorithm in an ion-trap system. Phys. Rev. A 71, 012337 (2005)ADSCrossRef
16.
Niskanen, A., Vartiainen, J., Salomaa, M.: Optimal multiqubit operations for josephson charge qubits. Phys. Rev. Lett. 90, 197901 (2003)ADSCrossRef
17.
18.
Bhattacharya, N., van Linden van den Heuvell, H., Spreeuw, R.: Implementation of quantum search algorithm using classical Fourier optics. Phys. Rev. Lett. 88, 137901 (2002)ADSCrossRef
19.
Mohseni, M., Lundeen, J., Resch, K., Steinberg, A.: Experimental application of decoherence-free subspaces in an optical quantum-computing algorithm. Phys. Rev. Lett. 91, 187903 (2003)ADSCrossRef
20.
Barak, R., Ben-aryeh, Y.: Quantum fast Fourier transform and quantum computation by linear optics. J. Opt. Soc. Am. B 24, 231 (2007)ADSMathSciNetCrossRef
21.
Dong, L., Xiu, X.M., Shen, H.Z., Gao, Y.J., Yi, X.X.: Quantum Fourier transform of polarization photons mediated by weak cross-Kerr nonlinearity. J. Opt. Soc. Am. B 30, 2765 (2013)ADSCrossRef
22.
Spiller, T.P., Nemoto, K., Braunstein, S.L., Munro, W.J., Loock, Pv, Milburn, G.J.: Quantum computation by communication. New J. Phys. 8, 30 (2006)ADSCrossRef
23.
Loock, P.V., Munro, W.J., Nemoto, K., Spiller, T.P., Ladd, T.D., Braunstein, S.L., Milburn, G.J.: Hybrid quantum computation in quantum optics. Phys. Rev. A 78, 022303 (2008)
24.
Lin, Q., He, B.: Addendum to “Single-photon logic gates using minimum resources”. Phys. Rev. A 82, 064303 (2010)ADSCrossRef
25.
Nemoto, K., Munro, W.J.: Nearly deterministic linear optical controlled-NOT gate. Phys. Rev. Lett. 93, 250502 (2004)ADSCrossRef
26.
Lin, Q., Li, J.: Quantum control gates with weak cross-Kerr nonlinearity. Phys. Rev. A 79, 022301 (2009)ADSCrossRef
27.
Guo, Q., Bai, J., Cheng, L.Y., Shao, X.Q., Wang, H.F., Zhang, S.: Simplified optical quantum-information processing via weak cross-Kerr nonlinearities. Phys. Rev. A 83, 054303 (2011)ADSCrossRef
28.
Zhao, R.T., Guo, Q., Cheng, L.Y., Sun, L.L., Wang, H.F., Zhang, S.: Two-qubit and three-qubit controlled gates with cross-Kerr nonlinearity. Chin. Phys. B 22, 030313 (2013)ADSCrossRef
29.
Barrett, S.D., Kok, P., Nemoto, K., Beausoleil, R.G., Munro, W.J., Spiller, T.P.: Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities. Phys. Rev. A 71, 060302 (2005)ADSCrossRef
30.
Heo, J., Hong, C.H., Lim, J.I., Yang, H.J.: Bidirectional quantum teleportation of unknown photons using path-polarization intra-particle hybrid entanglement and controlled-unitary gates via cross-Kerr nonlinearity. Chin. Phys. B 24, 050304 (2015)ADSCrossRef
31.
Jin, G.S., Lin, Y., Wu, B.: Generating multiphoton Greenberger–Horne–Zeilinger states with weak cross-Kerr nonlinearity. Phys. Rev. A 75, 054302 (2007)ADSCrossRef
32.
Zheng, C.H., Zhao, J., Shi, P., Li, W.D., Gu, Y.J.: Generation of three-photon polarization-entangled GHZ state via linear optics and weak cross-Kerr nonlinearity. Opt. Commun. 316, 26 (2014)ADSCrossRef
33.
Heo, J., Hong, C.H., Lim, J.I., Yang, H.J.: Simultaneous quantum transmission and teleportation of unknown photons using intra- and inter-particle entanglement controlled-not gates via cross-Kerr nonlinearity and P-homodyne measurements. Int. J. Theor. Phys. 54, 2261 (2015)MathSciNetCrossRefMATH
34.
He, B., Ren, Y., Bergou, J.A.: Creation of high-quality long-distance entanglement with flexible resources. Phys. Rev. A 79, 052323 (2009)ADSCrossRef
35.
Lin, Q., He, B.: Single-photon logic gates using minimal resources. Phys. Rev. A 80, 042310 (2009)ADSCrossRef
36.
Lin, Q., He, B., Bergou, J.A., Ren, Y.: Processing multiphoton states through operation on a single photon: methods and applications. Phys. Rev. A 80, 042311 (2009)ADSCrossRef
37.
Lin, Q., He, B.: Highly efficient processing of multi-photon states. Sci. Rep. 5, 12792 (2015)ADSCrossRef
38.
Zhu, M.Z., Ye, L.: Efficient distributed controlled Z gate without ancilla single-photons via cross-phase modulation. J. Opt. Soc. Am. B 31, 405 (2014)ADSMathSciNetCrossRef
39.
Zhu, M.Z., Ye, L.: Efficient entanglement purification for Greenberger–Horne–Zeilinger states via the distributed parity-check detector. Opt. Commun. 334, 51 (2015)ADSCrossRef
40.
Heo, J., Hong, C.H., Lee, D.H., Yang, H.J.: Bidirectional transfer of quantum information for unknown photons via cross-Kerr nonlinearity and photon-number-resolving measurement. Chin. Phys. B 25, 020306 (2016)CrossRef
41.
Louis, S.G.R., Nemoto, K., Munro, W.J., Spiller, T.P.: The efficiencies of generating cluster states with weak nonlinearities. New J. Phys. 9, 193 (2007)ADSCrossRef
42.
Lin, Q., He, B.: Weaving independently generated photons into an arbitrary graph state. Phys. Rev. A 84, 062312 (2011)ADSCrossRef
43.
Munro, W.J., Nemoto, K., Spiller, T.P.: Weak nonlinearities: a new route to optical quantum computation. New J. Phys. 7, 137 (2005)ADSCrossRef
44.
Jeong, H.: Using weak nonlinearity under decoherence for macroscopic entanglement generation and quantum computation. Phys. Rev. A 72, 034305 (2005)ADSCrossRef
45.
Jeong, H.: Quantum computation using weak nonlinearities: robustness against decoherence. Phys. Rev. A 73, 052320 (2006)ADSCrossRef
46.
Barrett, S.D., Milburn, G.J.: Quantum-information processing via a lossy bus. Phys. Rev. A 74, 060302 (2006)ADSCrossRef
47.
Wittmann, C., Andersen, U.L., Takeoka, M., Sych, D., Leuchs, G.: Discrimination of binary coherent states using a homodyne detector and a photon number resolving detector. Phys. Rev. A 81, 062338 (2010)ADSCrossRef
48.
Loudon, R.: The Quantum Theory of Light. Oxford University Press, Oxford (2000)MATH
49.
50.
Sanders, B.C., Milburn, G.J.: Complementarity in a quantum nondemolition measurement. Phys. Rev. A 39, 694 (1989)ADSCrossRef
51.
Sanders, B.C., Milburn, G.J.: Quantum limits to all-optical phase shifts in a Kerr nonlinear medium. Phys. Rev. A 45, 1919 (1992)
52.
Nagayama, K., Matsui, M., Kakui, M., Saitoh, T., Kawasaki, K., Takamizawa, H., Ooga, Y., Tsuchiya, I., Chigusa, Y.: Ultra low loss (0.1484 dB/km) pure silica core fiber. SEI Tech. Rev. 57, 3 (2004)
53.
Knill, E., Laflamme, R., Milburn, G.J.: A scheme for efficient quantum computation with linear optics. Nature 409, 46 (2001)ADSCrossRefMATH
54.
Knill, E.: Bounds on the probability of success of postselected nonlinear sign shifts implemented with linear optics. Phys. Rev. A 68, 064303 (2003)ADSCrossRef
55.
Wang, H.F., Zhang, S., Yeon, K.H.: Linear optical implementation of discrete quantum fourier transform with conventional photon detectors. Int. J. Quantum Inf. 9, 509 (2011)CrossRefMATH
56.
Kok, P.: Effects of self-phase-modulation on weak nonlinear optical quantum gates. Phys. Rev. A 77, 013808 (2008)ADSCrossRef
Metadaten
Titel
Discrete quantum Fourier transform using weak cross-Kerr nonlinearity and displacement operator and photon-number-resolving measurement under the decoherence effect
verfasst von
Jino Heo
Min-Sung Kang
Chang-Ho Hong
Hyeon Yang
Seong-Gon Choi
Publikationsdatum
01.12.2016
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 12/2016
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1439-0

Weitere Artikel der Ausgabe 12/2016

Quantum Information Processing 12/2016 Zur Ausgabe

OriginalPaper

Two-party quantum key agreement against collective noise

OriginalPaper

Entanglement detection via general SIC-POVMs

OriginalPaper

Representing expectation values of projectors as series for evolution reconstruction

OriginalPaper

Sequential generation of polynomial invariants and N-body non-local correlations

OriginalPaper

An optimized quantum information splitting scheme with multiple controllers

OriginalPaper

Sympathetic cooling in a large ion crystal