Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Quantum Information Processing
Published in: Quantum Information Processing 3/2018

01-03-2018

Multi-server blind quantum computation over collective-noise channels

Authors: Min Xiao, Lin Liu, Xiuli Song

Published in: Quantum Information Processing | Issue 3/2018

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Blind quantum computation (BQC) enables ordinary clients to securely outsource their computation task to costly quantum servers. Besides two essential properties, namely correctness and blindness, practical BQC protocols also should make clients as classical as possible and tolerate faults from nonideal quantum channel. In this paper, using logical Bell states as quantum resource, we propose multi-server BQC protocols over collective-dephasing noise channel and collective-rotation noise channel, respectively. The proposed protocols permit completely or almost classical client, meet the correctness and blindness requirements of BQC protocol, and are typically practical BQC protocols.
next article Quantum pattern recognition with multi-neuron interactions

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

inform now

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!

inform now

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!

inform now
Literature
1.
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information, 10 Anniversary edn. Cambridge University Press, Cambridge (2010)CrossRefMATH
2.
Morimae, T., Fujii, K.: Blind quantum computation protocol in which Alice only makes measurements. Phys. Rev. A 87(5), 050301 (2013)ADSCrossRef
3.
Broadbent, A., Fitzsimons, J., Kashefi, E.: Universal blind quantum computation. In: Proceedings of the 50th Annual IEEE Symposium on Foundations of Computer Science (FOCS 09). IEEE. pp. 517–526 (2009)
4.
5.
Raussendorf, R., Browne, D.E., Briegel, H.J.: Measurement-based quantum computation on cluster states. Phys. Rev. A 68(2), 022312 (2003)ADSCrossRef
6.
Chien, C.H., Meter, R.V., Kuo, S.Y.: Fault-tolerant operations for universal blind quantum computation. ACM J. Emerg. Technol. Comput. Syst. JETC 12(1), 9 (2015)
7.
Takeuchi, Y., Fujii, K., Ikuta, R., et al.: Blind quantum computation over a collective-noise channel. Phys. Rev. A 93(5), 052307 (2016)ADSCrossRef
8.
9.
10.
Dunjko, V., Kashefi, E., Leverrier, A.: Blind quantum computing with weak coherent pulses. Phys. Rev. Lett. 108(20), 200502 (2012)ADSCrossRef
11.
Morimae, T., Koshiba, T.: Impossibility of Perfectly-Secure Delegated Quantum Computing for Classical Client. arXiv:​1407.​1636 (2014)
12.
Aaronson, S., Cojocaru, A., Gheorghiu, A., et al.: On the Implausibility of Classical Client Blind Quantum Computing. arXiv:​1704.​08482 (2017)
13.
Mantri, A., Demarie, T.F., Menicucci, N.C., et al.: Flow ambiguity: A path towards classically driven blind quantum computation. Phys. Rev. X 7(3), 031004 (2017)
14.
Broadbent, A., Jeffery, S.: Quantum homomorphic encryption for circuits of low T-gate complexity. In: Annual Cryptology Conference, pp. 609–629. Springer, Berlin (2015)
15.
Dulek, Y., Schaffner, C., Speelman, F.: Quantum homomorphic encryption for polynomial-sized circuits. In: Annual Cryptology Conference. pp. 3–32. Springer, Berlin (2016)
16.
Morimae, T., Fujii, K.: Secure entanglement distillation for double-server blind quantum computation. Phys. Rev. Lett. 111(2), 020502 (2013)ADSCrossRef
17.
Zhou, L., Sheng, Y.B.: Deterministic entanglement distillation for secure double-server blind quantum computation. Sci. Rep. 5, 7815 (2015)CrossRef
18.
Li, Q., Chan, W.H., Wu, C., et al.: Triple-server blind quantum computation using entanglement swapping. Phys. Rev. A 89(4), 040302 (2014)ADSCrossRef
19.
Bennett, C.H., Brassard, G., Popescu, S., et al.: Purification of noisy entanglement and faithful teleportation via noisy channels. Phys. Rev. Lett. 76(5), 722 (1996)ADSCrossRef
20.
21.
22.
Zanardi, P., Rasetti, M.: Noiseless quantum codes. Phys. Rev. Lett. 79(17), 3306 (1997)ADSCrossRef
23.
Li, X.H., Deng, F.G., Zhou, H.Y.: Efficient quantum key distribution over a collective noise channel. Phys. Rev. A 78(2), 022321 (2008)ADSCrossRef
24.
Li, X.H., Zhao, B.K., Sheng, Y.B., et al.: Fault tolerant quantum key distribution based on quantum dense coding with collective noise. Int. J. Quantum Inform. 7(08), 1479–1489 (2009)CrossRefMATH
25.
Kwiat, P.G., Berglund, A.J., Altepeter, J.B., White, A.G.: Experimental verification of decoherence-free subspaces. Science 290(5491), 498C501 (2000)CrossRef
26.
Walton, Z.D., Abouraddy, A.F., Sergienko, A.V., et al.: Decoherence-free subspaces in quantum key distribution. Phys. Rev. Lett. 91(8), 087901 (2003)ADSCrossRef
27.
Yang, C.W., Tsai, C.W., Hwang, T.: Fault tolerant two-step quantum secure direct communication protocol against collective noises. Sci. China Phys. Mech. Astron. 54(3), 496–501 (2011)ADSCrossRef
28.
Ye, T.Y.: Robust quantum dialogue based on a shared auxiliary logical Bell state against collective noise. Sci. Sin. Phys. Mech. Astron. 45(4), 40301 (2015)CrossRef
29.
Ye, T.Y.: Robust quantum dialogue based on the entanglement swapping between any two logical Bell states and the shared auxiliary logical Bell state. Quantum Inf. Process. 14(4), 1469–1486 (2015)ADSCrossRefMATH
30.
Wu, D., Lv, H.J., Xie, G.J.: Robust anti-collective noise quantum secure direct dialogue using logical bell states. Int. J. Theor. Phys. 55(1), 457–469 (2016)CrossRefMATH
31.
Ye, T.Y.: Fault-tolerant quantum dialogue without information leakage based on entanglement swapping between two logical bell states. Commun. Theor. Phys. 63(4), 431 (2015)ADSCrossRefMATH
32.
33.
Ye, T.Y.: Quantum secure direct dialogue over collective noise channels based on logical Bell states. Quantum Inf. Process. 14(4), 1487–1499 (2015)ADSCrossRefMATH
34.
Kempe, J., Bacon, D., Lidar, D., Whaley, K.: Theory of decoherence-free fault-tolerant universal quantum computation. Phys. Rev. A 63(4), 042307 (2001)ADSCrossRef
35.
Gu, B., Mu, L., Ding, L., et al.: Fault tolerant three-party quantum secret sharing against collective noise. Opt. Commun. 283(15), 3099–3103 (2010)ADSCrossRef
Metadata
Title
Multi-server blind quantum computation over collective-noise channels
Authors
Min Xiao
Lin Liu
Xiuli Song
Publication date
01-03-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 3/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-1810-4

Other articles of this Issue 3/2018

Quantum Information Processing 3/2018 Go to the issue

OriginalPaper

Pure state ‘really’ informationally complete with rank-1 POVM

OriginalPaper

Belavkin filter for mixture of quadrature and photon counting process with some control techniques

OriginalPaper

Measurement-device-independent quantum key distribution with multiple crystal heralded source with post-selection

OriginalPaper

Multi-dimensional quantum state sharing based on quantum Fourier transform

OriginalPaper

Characterization of classical static noise via qubit as probe

OriginalPaper

Entanglement-assisted quantum MDS codes from negacyclic codes