Abstract
The quantum demultiplexer is constructed by a series of unitary operators and multipartite entangled states. It is used to realize information broadcasting from an input node to multiple output nodes in quantum networks. The scheme of quantum network communication with respect to phase estimation is put forward through the demultiplexer subjected to amplitude damping noises. The generalized partial measurements can be applied to protect the transferring efficiency from environmental noises in the protocol. It is found out that there are some optimal coherent states which can be prepared to enhance the transmission of phase estimation. The dynamics of state fidelity and quantum Fisher information are investigated to evaluate the feasibility of the network communication. While the state fidelity deteriorates rapidly, the quantum Fisher information can be enhanced to a maximum value and then decreases slowly. The memory effect of the environment induces the oscillations of fidelity and quantum Fisher information. The adjustment of the strength of partial measurements is helpful to increase quantum Fisher information.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Monroe, C.: Quantum networks with trapped ions. Rev. Mod. Phys. 82(2), 1209–1224 (2007)
U’Ren, A.B., Silberhorn, C., Banaszek, K., Walmsley, I.A.: Efficient conditional preparation of high-fidelity single photon states for fiber-optic quantum networks. Phys. Rev. Lett. 93(9), 093601 (2004)
Siomau, M., Fritzsche, S.: Evolution equation for entanglement of multiqubit systems. Phys. Rev. A 82(82), 13442–13444 (2010)
Gao, Y., Zhou, H., Zou, D., Peng, X., Du, J.: Preparation of Greenberger–Horne—Zeilinger and w states on a one-dimensional ising chain by global control. Phys. Rev. A 87(3), 379–388 (2013)
Liu, S., Yu, R., Li, J., Wu, Y.: Generation of a multi-qubit w entangled state through spatially separated semiconductor quantum-dot-molecules in cavity-quantum electrodynamics arrays. J. Appl. Phys. 115(13), 1569 (2014)
Xiao, X., Yao, Y., Zhong, W.-J., Li, Y.-L., Xie, Y.-M.: Enhancing teleportation of quantum fisher information by partial measurements. Phys. Rev. A 93(1), 012307 (2016)
Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390(390), 575 (1997)
Furusawa, A., Sørensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Unconditional quantum teleportation. Science 282(5389), 706–709 (1998)
Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70(13), 1895 (1993)
Tan, X., Zhang, X., Fang, J.: Perfect quantum teleportation by four-particle cluster state. Inf. Process. Lett. 116(5), 347–350 (2016)
Muralidharan, S., Jain, S., Panigrahi, P.K.: Splitting of quantum information using n-qubit linear cluster states. Opt. Commun. 284(4), 1082–1085 (2010)
Hao, X., Wu, Y.: Quantum parameter estimation in the Unruh–DeWitt detector model. Ann. Phys. 372, 110–118 (2016)
Haine, S.A., Szigeti, S.S.: Quantum metrology with mixed states: when recovering lost information is better than never losing it. Phys. Rev. A 92(3), 032317 (2015)
Hao, X., Wu, Y.: Quantum nonunital dynamics of spin-bath-assisted fisher information. AIP Adv. 6(4), 233601 (2016)
Walmsley, I.A., Nunn, J.: Editorial: building quantum networks. Phys. Rev. Appl. 6, 040001 (2016)
Ritter, S., Nölleke, C., Hahn, C., Reiserer, A., Neuzner, A., Uphoff, M., Mücke, M., Figueroa, E., Bochmann, J., Rempe, G.: An elementary quantum network of single atoms in optical cavities. Nature (London) 484, 195 (2012)
Behzadi, N., Rudsary, S.K., Salmasi, B.A.: Perfect routing of quantum information in regular cavity QED networks. Eur. Phys. J. D 67(12), 1–9 (2013)
Munro, W.J., Harrison, K.A., Stephen, A.M., Devitt, S.J., Nemoto, K.: From quantum multiplexing to high-performance quantum networking. Nat. Photonics 4, 792 (2010)
Weiss, U.: Quantum Dissipative Systems, 2nd edn. World Scientific, Singapore (1999)
Gardiner, C.W., Zoller, P.: Quantum Noise. Springer, Berlin (1991)
Anandan, J., Aharonov, Y.: Geometry of quantum evolution. Phys. Rev. Lett. 65(14), 1697–1700 (1990)
Watanabe, Y., Sagawa, T., Ueda, M.: Optimal measurement on noisy quantum systems. Phys. Rev. Lett. 104(2), 020401 (2010)
Tan, Q.S., Huang, Y., Yin, X., Kuang, L.M., Wang, X.: Enhancement of parameter-estimation precision in noisy systems by dynamical decoupling pulses. Phys. Rev. A 87, 032102 (2013)
Wang, S.C., Yu, Z.W., Wang, X.B.: Protecting quantum states from decoherence of finite temperature using weak measurement. Phys. Rev. A 89(2), 022318 (2014)
Katz, N., Korotkov, A.N.: Coherent state evolution in a superconducting qubit from partial-collapse measurement. Science 312(5779), 1498–1500 (2006)
Man, Z.X., An, N.B., Xia, Y.J.: Improved quantum state transfer via quantum partially collapsing measurements. Ann. Phys. 349(349), 209 (2014)
Collins, D., Stephens, J.: Depolarizing channel parameter estimation using noisy initial states. Phys. Rev. A 92, 032324 (2015)
Zheng, Q., Ge, L., Yao, Y., Zhi, Q.: Enhancing parameter precision of optimal quantum estimation by direct quantum feedback. Phys. Rev. A 91, 033805 (2015)
Blok, M.S., Bonato, C., Markham, M.L., Twitchen, D.J., Dobrovitski, V.V., Hanson, R.: Manipulating a qubit through the backaction of sequential partial measurements and real-time feedback. Nat. Phys. 10(3), 189–193 (2013)
Clerk, A.A., Devoret, M.H., Girvin, S.M., Marquardt, F., Schoelkopf, R.J.: Introduction to quantum noise, measurement and amplification. Rev. Mod. Phys. 82(2), 1155–1208 (2010)
Paraoanu, G.S.: Generalized partial measurements. Eur. Phys. Lett. 93, 64002 (2011)
Paraoanu, G.S.: Extraction of information from a single quantum. Phys. Rev. A 83, 044101 (2011)
Kim, Y.S., Lee, J.C., Kwon, O., Kim, Y.H.: Protecting entanglement from decoherence using weak measurement and quantum measurement reversal. Nat. Phys. 8(2), 117–120 (2011)
Korotkov, A.N., Jordan, A.N.: Undoing a weak quantum measurement of a solid-state qubit. Phys. Rev. Lett. 97(16), 166805 (2006)
Qiu, L., Tang, G., Yang, X., Wang, A.: Enhancing teleportation fidelity by means of weak measurements or reversal. Ann. Phys. 350(350), 137–145 (2014)
Pramanik, T., Majumdar, A.S.: Improving the fidelity of teleportation through noisy channels using weak measurement. Phys. Lett. A 377(44), 3209–3215 (2013)
Behzadi, N., Bahram, A.: Enhancing quantum state transfer efficiency in binary-tree spin networks by partially collapsing measurements. arXiv:1611.03035
Helstrom, C.W.: Quantum Detection and Estimation Theory. Academic Press, Cambridge (1976)
Breuer, H.P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)
Breuer, H.P., Laine, E.M., Piilo, J., Vacchini, B.: Colloquium: non-markovian dynamics in open quantum systems. Rev. Mod. Phys. 88(2), 021002 (2015)
Acknowledgements
This work is supported by the National Natural Science Foundation of Jiangsu Province under Grant No. BK20170376, the Innovation Project of Graduate Education of Jiangsu Province No. JGLX15-150, the Qing Lan Project of Jiangsu Province and the Graduate Creative Projects in USTS No. SKYCX16-015 and No. SKCX5-06.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Xie, Y., Huang, Y., Wu, Y. et al. Quantum demultiplexer of quantum parameter-estimation information in quantum networks. Quantum Inf Process 17, 108 (2018). https://doi.org/10.1007/s11128-018-1868-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11128-018-1868-z