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 2/2017

01.02.2017

Compact quantum gates for hybrid photon–atom systems assisted by Faraday rotation

verfasst von: Guo-Zhu Song, Guo-Jian Yang, Mei Zhang

Erschienen in: Quantum Information Processing | Ausgabe 2/2017

Einloggen

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

search-config
loading …

Abstract

We present some compact circuits for a deterministic quantum computing on the hybrid photon–atom systems, including the Fredkin gate and SWAP gate. These gates are constructed by exploiting the optical Faraday rotation induced by an atom trapped in a single-sided optical microcavity. The control qubit of our gates is encoded on the polarization states of the single photon, and the target qubit is encoded on the ground states of an atom confined in an optical microcavity. Since the decoherence of the flying qubit with atmosphere for a long distance is negligible and the stationary qubits are trapped inside single-sided microcavities, our gates are robust. Moreover, ancillary single photon is not needed and only some linear-optical devices are adopted, which makes our protocols efficient and practical. Our schemes need not meet the condition that the transmission for the uncoupled cavity is balanceable with the reflectance for the coupled cavity, which is different from the quantum computation with a double-sided optical microcavity. Our calculations show that the fidelities of the two hybrid quantum gates are high with the available experimental technology.
Vorheriger Artikel Characterizing error propagation in quantum circuits: the Isotropic Index
Nächster Artikel Entanglement of two hybrid optomechanical cavities composed of BEC atoms under Bell detection

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.
Knill, E., Laflamme, R., Milburn, G.J.: A scheme for efficient quantum computation with linear optics. Nature (London) 409, 46 (2001)ADSCrossRefMATH
2.
3.
Feng, G.R., Xu, G.F., Long, G.L.: Experimental realization of nonadiabatic holonomic quantum computation. Phys. Rev. Lett. 110, 190501 (2013)ADSCrossRef
4.
Hu, C.Y., Young, A., O’Brien, J.L., Munro, W.J., Rarity, J.G.: Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: applications to entangling remote spins via a single photon. Phys. Rev. B 78, 085307 (2008)ADSCrossRef
5.
Wei, H.R., Deng, F.G.: Universal quantum gates for hybrid systems assisted by quantum dots inside double-sided optical microcavities. Phys. Rev. A 87, 022305 (2013)ADSCrossRef
6.
Wei, H.R., Deng, F.G.: Scalable quantum computing based on stationary spin qubits in coupled quantum dots inside double-sided optical microcavities. Sci. Rep. 4, 7551 (2014)ADSCrossRef
7.
Wang, T.J., Wang, C.: Universal hybrid three-qubit quantum gates assisted by a nitrogen-vacancy center coupled with a whispering-gallery-mode microresonator. Phy. Rev. A 90, 052310 (2014)ADSCrossRef
8.
Ren, B.C., Wei, H.R., Deng, F.G.: Deterministic photonic spatial-polarization hyper-controlled-not gate assisted by quantum dot inside one-side optical microcavity. Laser Phys. Lett. 10, 095202 (2013)ADSCrossRef
9.
Ren, B.C., Deng, F.G.: Hyper-parallel photonic quantum computing with coupled quantum dots. Sci. Rep. 4, 4623 (2014)ADS
10.
Ren, B.C., Wang, G.Y., Deng, F.G.: Universal hyperparallel hybrid photonic quantum gates with dipole-induced transparency in the weak-coupling regime. Phys. Rev. A 91, 032328 (2015)ADSCrossRef
11.
Wei, H.R., Deng, F.G., Long, G.L.: Hyper-parallel Toffoli gate on three-photon system with two degrees of freedom assisted by single-sided optical microcavities. Opt. Express 24, 18619–18630 (2016)ADSCrossRef
12.
Barenco, A., Bennett, C.H., Cleve, R., DiVincenzo, D.P., Margolus, N., Shor, P., Sleator, T., Smolin, J.A., Weinfurter, H.: Elementary gates for quantum computation. Phys. Rev. A 52, 3457 (1995)ADSCrossRef
13.
Nielsen, M.A.: Optical quantum computation using cluster states. Phys. Rev. Lett. 93, 040503 (2004)ADSCrossRef
14.
Nemoto, K., Munro, W.J.: Nearly deterministic linear optical controlled-NOT gate. Phys. Rev. Lett. 93, 250502 (2004)ADSCrossRef
15.
Browne, D.E., Rudolph, T.: Resource-efficient linear optical quantum computation. Phys. Rev. Lett. 95, 010501 (2005)ADSCrossRef
16.
Hu, C.Y., Munro, W.J., O’Brien, J.L., Rarity, J.G.: Proposed entanglement beam splitter using a quantum-dot spin in a double-sided optical microcavity. Phys. Rev. B 80, 205326 (2009)ADSCrossRef
17.
Beenakker, C.W.J., DiVincenzo, D.P., Emary, C., Kindermann, M.: Charge detection enables free-electron quantum computation. Phys. Rev. Lett. 93, 020501 (2004)ADSCrossRef
18.
Yamamoto, T., Pashkin, Y.A., Astafiev, O., Nakamura, Y., Tsai, J.S.: Demonstration of conditional gate operation using superconducting charge qubits. Nature (London) 425, 941–944 (2003)ADSCrossRef
19.
Clarke, J., Wilhelm, F.K.: Superconducting quantum bits. Nature (London) 453, 1031–1042 (2008)ADSCrossRef
20.
Hua, M., Tao, M.J., Deng, F.G.: Fast universal quantum gates on microwave photons with all-resonance operations in circuit QED. Sci. Rep. 5, 9274 (2015)ADSCrossRef
21.
Shende, V.V., Markov, I.L., Bullock, S.S.: Minimal universal two-qubit controlled-NOT-based circuits. Phys. Rev. A 69, 062321 (1995)ADSCrossRef
22.
23.
Shi, Y.Y.: Both Toffoli and controlled-NOT need little help to do universal quantum computing. Quantum Inf. Comput. 3, 84 (2003)MathSciNetMATH
24.
Liang, L.M., Li, C.Z.: Realization of quantum SWAP gate between flying and stationary qubits. Phys. Rev. A 72, 024303 (2005)ADSCrossRef
25.
Shor, P.W.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comput. 26, 1484 (1997)MathSciNetCrossRefMATH
26.
Grover, L.K.: Quantum mechanics helps in searching for a needle in a haystack. Phys. Rev. Lett. 79, 325 (1997)ADSCrossRef
27.
Long, G.L.: Grover algorithm with zero theoretical failure rate. Phys. Rev. A 64, 022307 (2001)ADSCrossRef
28.
Dennis, E.: Toward fault-tolerant quantum computation without concatenation. Phys. Rev. A 63, 052314 (2001)ADSCrossRef
29.
Cory, D.G., Price, M.D., Maas, W., Knill, E., Laflamme, R., Zurek, W.H., Havel, T.F., Somaroo, S.S.: Experimental quantum error correction. Phys. Rev. Lett. 81, 2152 (1998)ADSCrossRef
30.
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University, Cambridge (2000)MATH
31.
Vidal, G., Dawson, C.M.: Universal quantum circuit for two-qubit transformations with three controlled-NOT gates. Phys. Rev. A 69, 010301 (2004)ADSCrossRef
32.
Heilmann, R., Gräfe, M., Nolte, S., Szameit, A.: A novel integrated quantum circuit for high-order W-state generation and its highly precise characterization. Sci. Bull. 60, 96 (2015)CrossRef
33.
Xu, J.S., Li, C.F.: Quantum integrated circuit: classical characterization. Sci. Bull. 60, 141 (2015)CrossRef
34.
35.
Ibáñez, S., Chen, X., Torrontegui, E., Muga, J.G., Ruschhaupt, A.: Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity. Phys. Rev. Lett. 109, 100403 (2012)ADSCrossRef
36.
Xu, G.F., Long, G.L.: Protecting geometric gates by dynamical decoupling. Phys. Rev. A 90, 022323 (2014)ADSCrossRef
37.
Xu, G.F., Long, G.L.: Universal nonadiabatic geometric gates in two-qubit decoherence-free subspaces. Sci. Rep. 4, 6814 (2014)ADSCrossRef
38.
Song, X.K., Zhang, H., Ai, Q., Qiu, J., Deng, F.G.: Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm. New J. Phys. 18, 023001 (2016)ADSCrossRef
39.
Song, X.K., Ai, Q., Qiu, J., Deng, F.G.: Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics. Phys. Rev. A 93, 052324 (2016)ADSCrossRef
40.
Duan, L.M., Kimble, H.J.: Efficient engineering of multiatom entanglement through single-photon detections. Phys. Rev. Lett. 90, 253601 (2003)ADSCrossRef
41.
Duan, L.M., Kuzmich, A., Kimble, H.J.: Cavity QED and quantum-information processing with hot trapped atoms. Phys. Rev. A 67, 032305 (2003)ADSCrossRef
42.
Cho, J., Lee, H.W.: Generation of atomic cluster states through the cavity input–output process. Phys. Rev. Lett. 95, 160501 (2005)ADSCrossRef
43.
Boozer, A.D., Boca, A., Miller, R., Northup, T.E., Kimble, H.J.: Reversible state transfer between light and a single trapped atom. Phys. Rev. Lett. 98, 193601 (2007)ADSCrossRef
44.
Wei, H., Deng, Z.J., Zhang, X.L., Feng, M.: Transfer and teleportation of quantum states encoded in decoherence-free subspace. Phys. Rev. A 76, 054304 (2007)ADSCrossRef
45.
Yang, Z.B., Wu, H.Z., Su, W.J., Zheng, S.B.: Quantum phase gates for two atoms trapped in separate cavities within the null- and single-excitation subspaces. Phys. Rev. A 80, 012305 (2009)ADSCrossRef
46.
Wang, C., Zhang, Y., Jiao, R.Z., Jin, G.S.: Universal quantum controlled phase gate on photonic qubits based on nitrogen vacancy centers and microcavity resonators. Opt. Express 21, 19252–19260 (2013)ADSCrossRef
47.
Wei, H.R., Deng, F.G.: Compact quantum gates on electron-spin qubits assisted by diamond nitrogen-vacancy centers inside cavities. Phys. Rev. A 88, 042323 (2013)ADSCrossRef
48.
Wang, H.F., Zhu, A.D., Zhang, S., Yeon, K.H.: Optically controlled phase gate and teleportation of a controlled-not gate for spin qubits in a quantum-dotCmicrocavity coupled system. Phys. Rev. A 87, 062337 (2013)ADSCrossRef
49.
Wang, H.F., Zhu, A.D., Zhang, S.: One-step implementation of a multiqubit phase gate with one control qubit and multiple target qubits in coupled cavities. Opt. Lett. 39, 1489 (2014)ADSCrossRef
50.
Reiserer, A., Kalb, N., Rempe, G., Ritter, S.: A quantum gate between a flying optical photon and a single trapped atom. Nature (London) 508, 237–240 (2014)ADSCrossRef
51.
Wei, H.R., Long, G.L.: Hybrid quantum gates between flying photon and diamond nitrogen-vacancy centers assisted by optical microcavities. Sci. Rep. 5, 12918 (2015)ADSCrossRef
52.
Song, L.C., Xia, Y., Jie Song, J.: Experimentally optimized implementation of the Fredkin gate with atoms in cavity QED. Quantum Inform. Process. 14, 511–529 (2015)ADSMathSciNetCrossRefMATH
53.
Peng, Z.H., Kuang, L.M., Zou, J., Zhang, Y.Q., Liu, X.J.: Quantum controlled-not gate in the bad cavity regime. Quantum Inform. Process. 14, 2833–2846 (2015)ADSMathSciNetCrossRefMATH
54.
Bai, C.H., Wang, D.Y., Hu, S., Cui, W.X., Jiang, X.X., Wang, H.F.: Scheme for implementing multitarget qubit controlled-NOT gate of photons and controlled-phase gate of electron spins via quantum dot-microcavity coupled system. Quantum Inform. Process. 15, 1485–1498 (2016)ADSMathSciNetCrossRefMATH
55.
Wang, T.J., Wang, C.: Parallel quantum computing teleportation for spin qubits in quantum dot and microcavity coupled system. IEEE J. Sel. Top. Quantum Electron. 21(3), 6500107 (2015)
56.
Barends, R., Shabani, A., Lamata, L., Kelly, J., Mezzacapo, A., Las Heras, U., Babbush, R., Fowler, A.G., Campbell, B., Chen, Y., Chen, Z., Chiaro, B., Dunsworth, A., Jeffrey, E., Lucero, E., Megrant, A., Mutus, J.Y., Neeley, M., Neill, C., O’Malley, P.J.J., Quintana, C., Roushan, P., Sank, D., Vainsencher, A., Wenner, J., White, T.C., Solano, E., Neven, H., Martinis, J.M.: Digitized adiabatic quantum computing with a superconducting circuit. Nature (London) 534, 222–226 (2016)ADSCrossRef
57.
Duan, L.M., Kimble, H.J.: Scalable photonic quantum computation through cavity-assisted interactions. Phys. Rev. Lett. 92, 127902 (2004)ADSCrossRef
58.
Chen, C.Y., Feng, M., Gao, K.L.: Toffoli gate originating from a single resonant interaction with cavity QED. Phys. Rev. A 73, 064304 (2006)ADSCrossRef
59.
Deng, Z.J., Zhang, X.L., Wei, H., Gao, K.L., Feng, M.: Implementation of a nonlocal N-qubit conditional phase gate by single-photon interference. Phys. Rev. A 76, 044305 (2007)ADSCrossRef
60.
Koshino, K., Ishizaka, S., Nakamura, Y.: Deterministic photon-photon \(\sqrt{SWAP}\) gate using a system. Phys. Rev. A 82, 010301 (2010)ADSCrossRef
61.
Wang, T.J., Zhang, Y., Wang, C.: Universal hybrid hyper-controlled quantum gates assisted by quantum dots in optical double-sided microcavities. Laser Phys. Lett. 11, 025203 (2014)ADSCrossRef
62.
Turchette, Q.A., Hood, C.J., Lange, W., Mabuchi, H., Kimble, H.J.: Measurement of conditional phase shifts for quantum logic. Phys. Rev. Lett. 75, 4710 (1995)ADSMathSciNetCrossRefMATH
63.
Cirac, J.I., Zoller, P., Kimble, H.J., Mabuchi, H.: Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Phys. Rev. Lett. 78, 3221 (1997)ADSCrossRef
64.
Monroe, C.: Quantum information processing with atoms and photons. Nature (London) 416, 238 (2002)ADSCrossRef
65.
Chen, Q., Feng, M.: Quantum-information processing in decoherence-free subspace with low-Q cavities. Phys. Rev. A 82, 052329 (2010)ADSCrossRef
66.
Wei, H.R., Deng, F.G.: Compact implementation of the \((SWAP)^a\) gate on diamond nitrogen-vacancy centers coupled to resonators. Quantum Inf. Process. 14, 465–477 (2015)ADSCrossRefMATH
67.
Fortier, K.M., Kim, Y., Gibbons, M.J., Ahmadi, P., Chapman, M.S.: Deterministic loading of individual atoms to a high-finesse optical cavity. Phys. Rev. Lett. 98, 233601 (2007)ADSCrossRef
68.
Wilk, T., Webster, S.C., Kuhn, A., Rempe, G.: Single-atom single-photon quantum interface. Science 317, 488 (2007)ADSCrossRef
69.
Reiserer, A., Ritter, S., Rempe, G.: Nondestructive detection of an optical photon. Science 342, 1349 (2013)ADSCrossRef
70.
Siyushev, P., Stein, G., Wrachtrup, J., Gerhardt, I.: Molecular photons interfaced with alkali atoms. Nature (London) 509, 66 (2014)ADSCrossRef
71.
72.
An, J.H., Feng, M., Oh, C.H.: Quantum-information processing with a single photon by an input–output process with respect to low-Q cavities. Phys. Rev. A 79, 032303 (2009)ADSCrossRef
73.
Bastos, W.P., Cardoso, W.B., Avelar, A.T., de Almeida, N.G., Baseia, B.: Controlled teleportation via photonic Faraday rotations in low-Q cavities. Quantum Inf. Process. 11, 1867 (2012)ADSMathSciNetCrossRefMATH
74.
Peng, Z.H., Zou, J., Liu, X.J., Xiao, Y.J., Kuang, L.M.: Atomic and photonic entanglement concentration via photonic Faraday rotation. Phys. Rev. A 86, 034305 (2012)ADSCrossRef
75.
Sheng, Y.B., Zhou, L., Wang, L., Zhao, S.M.: Efficient entanglement concentration for quantum dot and optical microcavities systems. Quantum Inf. Process. 12, 1885 (2013)ADSCrossRefMATH
76.
Sheng, Y.B., Zhou, L.: Efficient W-state entanglement concentration using quantum-dot and optical microcavities. J. Opt. Soc. Am. B 30, 678 (2013)ADSCrossRef
77.
Zhou, L., Wang, X.F., Sheng, Y.B.: Efficient entanglement concentration for arbitrary less-entangled N-atom GHZ state. Int. J. Theor. Phys. 53, 1752–1766 (2014)CrossRefMATH
78.
Wei, H.R., Deng, F.G.: Scalable photonic quantum computing assisted by quantum-dot spin in double-sided optical microcavity. Opt. Express 21, 17671–17685 (2013)ADSCrossRef
79.
Dayan, B., Parkins, A.S., Takao, Aoki, Ostby, E.P., Vahala, K.J., Kimble, Hj: A photon turnstile dynamically regulated by one atom. Science 319, 1062 (2008)ADSCrossRef
80.
Chiesa, A., Gerace, D., Troiani, F., Amoretti, G., Santini, P., Carretta, S.: Robustness of quantum gates with hybrid spin-photon qubits in superconducting resonators. Phys. Rev. A 89, 052308 (2014)ADSCrossRef
81.
Bonato, C., Haupt, F., Oemrawsingh, S.S., Gudat, J., Ding, D., van Exter, M.P., Bouwmeester, D.: CNOT and Bell-state analysis in the weak-coupling cavity QED regime. Phys. Rev. Lett. 104, 160503 (2010)ADSCrossRef
82.
Carretta, S., Chiesa, A., Troiani, F., Gerace, D., Amoretti, G., Santini, P.: Quantum information processing with hybrid spin-photon qubit encoding. Phys. Rev. Lett. 111, 110501 (2013)ADSCrossRef
83.
Luo, M.X., Ma, S.Y., Chen, X.B., Wang, X.J.: Hybrid Toffoli gate on photons and quantum spins. Sci. Rep. 5, 16716 (2015)ADSCrossRef
84.
Pritchard, J.D., Isaacs, J.A., Beck, M.A., McDermott, R., Saffman, M.: Hybrid atom–photon quantum gate in a superconducting microwave resonator. Phys. Rev. A 89, 010301(R) (2014)ADSCrossRef
85.
Wang, G.Y., Liu, Q., Wei, H.R., Li, T., Ai, Q., Deng, F.G.: Universal quantum gates for photon–atom hybrid systems assisted by bad cavities. Sci. Rep. 6, 24183 (2016)ADSCrossRef
Metadaten
Titel
Compact quantum gates for hybrid photon–atom systems assisted by Faraday rotation
verfasst von
Guo-Zhu Song
Guo-Jian Yang
Mei Zhang
Publikationsdatum
01.02.2017
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 2/2017
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1478-6

Weitere Artikel der Ausgabe 2/2017

Quantum Information Processing 2/2017 Zur Ausgabe

OriginalPaper

Room-temperature spin-photon interface for quantum networks

OriginalPaper

Entanglement of two hybrid optomechanical cavities composed of BEC atoms under Bell detection

OriginalPaper

Multiparty quantum private comparison with almost dishonest third parties for strangers

OriginalPaper

Characterizing error propagation in quantum circuits: the Isotropic Index

OriginalPaper

Post-Markovian dynamics of quantum correlations: entanglement versus discord

OriginalPaper

General monogamy relations of quantum entanglement for multiqubit W-class states

Neuer Inhalt

    Bildnachweise