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
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Quantum Information Processing
Erschienen in: Quantum Information Processing 10/2020

01.10.2020

Quantum hyper-CPHASE gates with polarisation and orbital angular momentum degrees of freedom and generalisation to arbitrary hyper-conditional gates

verfasst von: Mrittunjoy Guha Majumdar

Erschienen in: Quantum Information Processing | Ausgabe 10/2020

Einloggen

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

search-config
loading …

Abstract

In this paper, a controlled-phase (CPHASE) gate using the polarisation and orbital angular momentum degrees of freedom for single-photon two-qubit quantum logic is proposed. This is critical to the realisation of quantum cluster states and graph networks using transverse degrees of freedom. A generalisation of the proposed scheme to arbitrary number and kinds of degrees of freedom, for optical systems, as well as arbitrary operations to be conditionally performed is proposed.
Vorheriger Artikel Relaxation process of a two-level system in a coherent superposition of two environments
Nächster Artikel Toward sampling from undirected probabilistic graphical models using a D-Wave quantum annealer

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.
DiVincenzo, D.P.: Two-bit gates are universal for quantum computation. Phys. Rev. A 51, 1015 (1995)ADS
2.
Gottesman, D., Chuang, I.L.: Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations. Nature 402, 390 (1999)ADS
3.
O’brien, J.L., Furusawa, A., Vučković, J.: Photonic quantum technologies. Nat. Photonics 3, 687 (2009)ADS
4.
Duan, L.-M., Kimble, H.: Scalable photonic quantum computation through cavity-assisted interactions. Phys. Rev. Lett. 92, 127902 (2004)ADS
5.
Azuma, K., Tamaki, K., Lo, H.-K.: All-photonic quantum repeaters. Nat. Commun. 6, 6787 (2015)ADS
6.
Chen, K., Li, C.-M., Zhang, Q., Chen, Y.-A., Goebel, A., Chen, S., Mair, A., Pan, J.-W.: Experimental realization of one-way quantum computing with two-photon four-qubit cluster states. Phys. Rev. Lett. 99, 120503 (2007)ADS
7.
Prevedel, R., Walther, P., Tiefenbacher, F., Böhi, P., Kaltenbaek, R., Jennewein, T., Zeilinger, A.: High-speed linear optics quantum computing using active feed-forward. Nature 445, 65 (2007)ADS
8.
Knill, E., Laflamme, R., Milburn, G.J.: A scheme for efficient quantum computation with linear optics. Nature 409, 46 (2001)ADS
9.
Ralph, T.C., Langford, N.K., Bell, T., White, A.: Linear optical controlled-NOT gate in the coincidence basis. Phys. Rev. A 65, 062324 (2002)ADS
10.
O’Brien, J.L., Pryde, G.J., White, A.G., Ralph, T.C., Branning, D.: Demonstration of an all-optical quantum controlled-NOT gate. Nature 426, 264 (2003)ADS
11.
Gasparoni, S., Pan, J.-W., Walther, P., Rudolph, T., Zeilinger, A.: Realization of a photonic controlled-NOT gate sufficient for quantum computation. Phys. Rev. Lett. 93, 020504 (2004)ADS
12.
Deng, F.-G., Ren, B.-C., Li, X.-H.: Quantum hyperentanglement and its applications in quantum information processing. Sci. Bull. 62, 46 (2017)
13.
Vallone, G., Donati, G., Ceccarelli, R., Mataloni, P.: Six-qubit two-photon hyperentangled cluster states: characterization and application to quantum computation. Phys. Rev. A 81, 052301 (2010)ADS
14.
Schwartz, I., Cogan, D., Schmidgall, E.R., Don, Y., Gantz, L., Kenneth, O., Lindner, N.H., Gershoni, D.: Deterministic generation of a cluster state of entangled photons. Science 354, 434 (2016)ADS
15.
Kues, M., Reimer, C., Sciara, S., Roztocki, P., Islam, M., Cortés, L.R., Zhang, Y., Fischer, B., Loranger, S., Kashyap, R. et al.: High-dimensional one-way quantum processing enabled by optical d-level cluster states. In: Quantum Information and Measurement, pp. S2C–3. Optical Society of America (2019)
16.
Yokoyama, S., Ukai, R., Armstrong, S.C., Sornphiphatphong, C., Kaji, T., Suzuki, S., Yoshikawa, J.-I., Yonezawa, H., Menicucci, N.C., Furusawa, A.: Ultra-large-scale continuous-variable cluster states multiplexed in the time domain. Nat. Photonics 7, 982 (2013)ADS
17.
Larsen, M.V., Guo, X., Breum, C.R., Neergaard-Nielsen, J.S., Andersen, U.L.: Deterministic generation of a two-dimensional cluster state. Science 366, 369 (2019)ADSMathSciNetMATH
18.
Raussendorf, R., Briegel, H.J.: A one-way quantum computer. Phys. Rev. Lett. 86, 5188 (2001)ADS
19.
Raussendorf, R., Harrington, J., Goyal, K.: A fault-tolerant one-way quantum computer. Ann. Phys. 321, 2242 (2006)ADSMathSciNetMATH
20.
Vallone, G., Pomarico, E., Mataloni, P., De Martini, F., Berardi, V.: Realization and characterization of a two-photon four-qubit linear cluster state. Phys. Rev. Lett. 98, 180502 (2007)ADS
21.
Wang, X.-L., Luo, Y.-H., Huang, H.-L., Chen, M.-C., Su, Z.-E., Liu, C., Chen, C., Li, W., Fang, Y.-Q., Jiang, X., et al.: 18-qubit entanglement with six photons’ three degrees of freedom. Phys. Rev. Lett. 120, 260502 (2018)ADS
22.
Zou, X., Li, K., Guo, G.: Linear optical scheme for direct implementation of a nondestructive N-qubit controlled phase gate. Phys. Rev. A 74, 044305 (2006)ADS
23.
Lemr, K., Černoch, A., Soubusta, J., Kieling, K., Eisert, J., Dušek, M.: Experimental implementation of the optimal linear-optical controlled phase gate. Phys. Rev. Lett. 106, 013602 (2011)ADS
24.
Das, S., Grankin, A., Iakoupov, I., Brion, E., Borregaard, J., Boddeda, R., Usmani, I., Ourjoumtsev, A., Grangier, P., Sørensen, A.S.: Photonic controlled-phase gates through Rydberg blockade in optical cavities. Phys. Rev. A 93, 040303 (2016)ADS
25.
Xiao, Y.-F., Zou, X.-B., Guo, G.-C.: One-step implementation of an N-qubit controlled-phase gate with neutral atoms trapped in an optical cavity. Phys. Rev. A 75, 054303 (2007)ADS
26.
Fushman, I., Englund, D., Faraon, A., Stoltz, N., Petroff, P., Vučković, J.: Controlled phase shifts with a single quantum dot. Science 320, 769 (2008)ADS
27.
Chen, L.-B., Yang, W.: All-optical controlled phase gate in quantum dot molecules. Laser Phys. Lett. 11, 105201 (2014)ADS
28.
Fowles, G.R.: Introduction to Modern Optics. Courier Corporation, United States (1989)
29.
Hecht, E., Zajac, A.: Optics. Addison-Wesley Publishing Company, Boston (1974)
30.
Bennett, J.: A critical evaluation of rhomb-type quarterwave retarders. Appl. Opt. 9, 2123 (1970)ADS
31.
Allen, L., Beijersbergen, M.W., Spreeuw, R., Woerdman, J.: Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes. Phys. Rev. A 45, 8185 (1992)ADS
32.
Leach, J., Padgett, M.J., Barnett, S.M., Franke-Arnold, S., Courtial, J.: Measuring the orbital angular momentum of a single photon. Phys. Rev. Lett. 88, 257901 (2002)ADS
33.
Courtial, J., Robertson, D., Dholakia, K., Allen, L., Padgett, M.: Rotational frequency shift of a light beam. Phys. Rev. Lett. 81, 4828 (1998)ADS
34.
Nicolas, A., Veissier, L., Giacobino, E., Maxein, D., Laurat, J.: Quantum state tomography of orbital angular momentum photonic qubits via a projection-based technique. New J. Phys. 17, 033037 (2015)ADS
35.
Leach, J., Courtial, J., Skeldon, K., Barnett, S.M., Franke-Arnold, S., Padgett, M.J.: Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon. Phys. Rev. Lett. 92, 013601 (2004)ADS
36.
Rodenburg, B., Magaña-Loaiza, O.S., Mirhosseini, M., Taherirostami, P., Chen, C., Boyd, R.W.: Multiplexing free-space channels using twisted light. J. Opt. 18, 054015 (2016)ADS
37.
Predojević, A., Zhai, Z., Caballero, J.M., Mitchell, M.W.: Rubidium resonant squeezed light from a diode-pumped optical-parametric oscillator. Phys. Rev. A 78, 063820 (2018)ADS
38.
Bazhenov, V.Y., Vasnetsov, M., Soskin, M.: Laser beams with screw dislocations in their wavefronts. JETP Lett. 52, 429 (1990)
39.
Beijersbergen, M.W., Allen, L., Van der Veen, H., Woerdman, J.: Astigmatic laser mode converters and transfer of orbital angular momentum. Opt. Commun. 96, 123 (1993)ADS
40.
Beijersbergen, M., Coerwinkel, R., Kristensen, M., Woerdman, J.: Helical-wavefront laser beams produced with a spiral phaseplate. Opt. Commun. 112, 321 (1994)ADS
41.
Marrucci, L., Manzo, C., Paparo, D.: Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media. Phys. Rev. Lett. 96, 163905 (2006)ADS
42.
Yu, N., Capasso, F.: Flat optics with designer metasurfaces. Nat. Mater. 13, 139 (2014)ADS
43.
Yu, N., Genevet, P., Kats, M.A., Aieta, F., Tetienne, J.-P., Capasso, F., Gaburro, Z.: Light propagation with phase discontinuities: generalized laws of reaction and refraction. Science 334, 333 (2011)ADS
44.
Genevet, P., Yu, N., Aieta, F., Lin, J., Kats, M.A., Blanchard, R., Scully, M.O., Gaburro, Z., Capasso, F.: Ultra-thin plasmonic optical vortex plate based on phase discontinuities. Appl. Phys. Lett. 100, 013101 (2012)ADS
45.
Yu, N., Genevet, P., Aieta, F., Kats, M.A., Blanchard, R., Aoust, G., Tetienne, J.-P., Gaburro, Z., Capasso, F.: Flat optics: controlling wavefronts with optical antenna metasurfaces. IEEE J. Sel. Top. Quantum Electron. 19, 4700423 (2013)ADS
46.
Munk, B.: Frequency Selective Surface: Design and Theory. Wiley, New York (2000)
47.
Peters, N.A., Barreiro, J.T., Goggin, M.E., Wei, T.-C., Kwiat, P.G.: Remote state preparation: arbitrary remote control of photon polarization. Phys. Rev. Lett. 94, 150502 (2005)ADS
48.
Mueller, J.B., Rubin, N.A., Devlin, R.C., Groever, B., Capasso, F.: Metasurface polarization optics: independent phase control of arbitrary orthogonal states of polarization. Phys. Rev. Lett. 118, 113901 (2017)ADS
49.
Dupont, L., Sansoni, T., et al.: Endless smectic A* liquid crystal polarization controller. Optics Communications 209, 101 (2002)ADS
50.
Berkhout, G.C., Lavery, M.P., Courtial, J., Beijersbergen, M.W., Padgett, M.J.: Efficient sorting of orbital angular momentum states of light. Phys. Rev. Lett. 105, 153601 (2010)ADS
51.
Hossack, W., Darling, A., Dahdouh, A.: Coordinate transformations with multiple computer-generated optical elements. J. Mod. Opt. 34, 1235 (1987)ADS
52.
Walsh, G.F.: Pancharatnam–Berry optical element sorter of full angular momentum eigen-state. Opt. Express 24, 6689 (2016)ADS
53.
Pryde, G., O’Brien, J., White, A., Bartlett, S., Ralph, T.: Measuring a photonic qubit without destroying it. Phys. Rev. Lett. 92, 190402 (2004)ADS
54.
Do Nascimento, J.C., Mendonça, F.A., Ramos, R.V.: Linear optical setups for active and passive quantum error correction in polarization encoded qubits. J. Mod. Opt. 54, 1467 (2007)ADSMATH
55.
Wei, D., Wang, Y., Liu, D., Zhu, Y., Zhong, W., Fang, X., Zhang, Y., Xiao, M.: Simple and nondestructive on-chip detection of optical orbital angular momentum through a single plasmonic nanohole. ACS Photonics 4, 996 (2017)
56.
Wang, F.-X., Chen, W., Yin, Z.-Q., Wang, S., Guo, G.-C., Han, Z.-F.: Scalable orbital-angular-momentum sorting without destroying photon states. Phys. Rev. A 94, 033847 (2016)ADS
57.
Alonso, J.R.G., Brun, T.A.: Protecting orbital-angular-momentum photons from decoherence in a turbulent atmosphere. Phys. Rev. A 88, 022326 (2013)ADS
58.
Toliver, P., Dailey, J.M., Agarwal, A., Peters, N.A.: Continuously active interferometer stabilization and control for time-bin entanglement distribution. Opt. Express 23, 4135–4143 (2015)ADS
59.
Stucki, D., Gisin, N., Guinnard, O., Ribordy, R., Zbinden, H.: Quantum key distribution over 67 km with a plug & play system. New J. Phys. 4, 411–418 (2002)
60.
Chapman, J.C., Graham, T.M., Zeitler, C.K., Bernstein, H.J., Kwiat, P.G.: Time-bin and polarization superdense teleportation for space applications. Phys. Rev. Appl. 14(1), 014044 (2020)ADS
61.
Takesue, H., Inoue, K.: Generation of 1.5 \(\mu \)m band time-bin entanglement using spontaneous fiber four-wave mixing and planar light-wave circuit interferometers. Phys. Rev. A 72(4), 041804 (2005)ADS
62.
Wang, S.X., Chan, C., Moraw, P., Reilly, D.R., Altpeter, J.B., Kanter, G.S.: High-speed tomography of time-bin-entangled photons using a single-measurement setting. Phys. Rev. A 86(4), 042122 (2012)ADS
63.
Marcikic, I., de Riedmatten, H., Tittel, W., Zbinden, H., Legr, M., Gisin, N.: Distribution of time-bin entangled qubits over 50 km of optical fiber. Phys. Rev. Lett. 93(18), 180502 (2004)ADS
64.
Xavier, G.B., von der Weid, J.P.: Stable single-photon interference in a 1 km fiber-optic Mach–Zehnder interferometer with continuous phase adjustment. Opt. Lett. 36(10), 1764–1766 (2011)ADS
65.
Kitaura, K., Kigoshi, S., Hisaki, H.: Polarizer for visible light. US Patent 5,087,985 (1992)
66.
Saxe, R.L.: Light polarizing materials and suspensions thereof. US Patent 5,002,701 (1991)
67.
Okamoto, M.: Dichroic filter. US Patent App. 12/224,134 (2009)
68.
Trost, D., Baumeister, P., Fischer, D.: Dichroic optical filter. US Patent 5,341,238 (1994)
69.
Yu, S., Li, L., Kou, N.: Generation, reception and separation of mixed-state orbital angular momentum vortex beams using metasurfaces. Opt. Mater. Express 7, 3312 (2017)ADS
70.
Chen, D.-X., Zhang, P., Liu, R.-F., Li, H.-R., Gao, H., Li, F.-L.: Orbital angular momentum filter of photon based on spin-orbital angular momentum coupling. Phys. Lett. A 379, 2530 (2015)ADS
71.
Karimi, E., Marrucci, L., de Lisio, C., Santamato, E.: Time-division multiplexing of the orbital angular momentum of light. Opt. Lett. 37, 127 (2012)ADS
72.
Bailey, T.B.: Absorption path controlled filter. US Patent 4,502,758 (1985)
73.
Reiserer, A., Ritter, S., Rempe, G.: Nondestructive detection of an optical photon. Science 342, 1349 (2013)ADS
74.
Barreiro, J.T., Langford, N.K., Peters, N.A., Kwiat, P.G.: Generation of hyperentangled photon pairs. Phys. Rev. Lett. 95, 260501 (2005)ADS
75.
García-Escartín, J.C., Chamorro-Posada, P.: Universal quantum computation with the orbital angular momentum of a single photon. J. Opt. 13, 064022 (2011)ADS
76.
Lu, H.-H., Lukens, J.M., Williams, B.P., Imany, P., Peters, N.A., Weiner, A.M., Lougovski, P.: A controlled-NOT gate for frequency-bin qubits. NPJ Quantum Inf. 5, 1 (2019)
77.
Lo, H.-P., Ikuta, T., Matsuda, N., Honjo, T., Takesue, H.: Entanglement generation using a controlled-phase gate for time-bin qubits. Appl. Phys. Express 11, 092801 (2018)ADS
78.
Perumangatt, C., Rahim, A.A., Salla, G.R., Prabhakar, S., Samanta, G.K., Paul, G., Singh, R.P.: Three-particle hyper-entanglement: teleportation and quantum key distribution. Quantum Inf. Process. 14, 3813 (2015)ADSMathSciNetMATH
79.
Shi, J., Ma, P.-C., Chen, G.-B.: Schemes for bidirectional quantum teleportation via a hyper-entangled state. Int. J. Theor. Phys. 58, 372 (2019)MATH
80.
Cui, Z.-X., Zhong, W., Zhou, L., Sheng, Y.-B.: Measurement-device-independent quantum key distribution with hyper-encoding. Sci. China Phys., Mech. Astron. 62, 110311 (2019)ADS
81.
Djordjevic, I.B.: Multidimensional QKD based on combined orbital and spin angular momenta of photon. IEEE Photonics J. 5, 7600112 (2013)ADS
82.
Smith III, J.F.: Superdense coding facilitated by hyper-entanglement and quantum networks. In: Ultrafast Bandgap Photonics II, vol. 10193, p. 1019316. International Society for Optics and Photonics (2017)
83.
Zheng, C., Gu, Y., Li, W., Wang, Z., Zhang, J.: Complete distributed hyper-entangled-bell-state analysis and quantum super dense coding. Int. J. Theor. Phys. 55, 1019 (2016)MathSciNetMATH
84.
Rui-Tong, Z., Qi, G., Li, C., Hong-Fu, W., Shou, Z.: Quantum superdense coding based on hyperentanglement. Chin. Phys. B 21, 080303 (2012)
Metadaten
Titel
Quantum hyper-CPHASE gates with polarisation and orbital angular momentum degrees of freedom and generalisation to arbitrary hyper-conditional gates
verfasst von
Mrittunjoy Guha Majumdar
Publikationsdatum
01.10.2020
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 10/2020
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02862-8

Weitere Artikel der Ausgabe 10/2020

Quantum Information Processing 10/2020 Zur Ausgabe

OriginalPaper

Continuous-variable measurement-device-independent quantum key distribution via quantum catalysis

OriginalPaper

Toward sampling from undirected probabilistic graphical models using a D-Wave quantum annealer

OriginalPaper

Limitations imposed by complementarity

OriginalPaper

Optimizing the post-processing of online evolution reconstruction in quantum communication

OriginalPaper

Continuous variable B92 quantum key distribution protocol using single photon added and subtracted coherent states

OriginalPaper

An online optimization algorithm for the real-time quantum state tomography

Neuer Inhalt

    Bildnachweise