Optimizing a quantum reservoir computer for time series prediction.

Aki Kutvonen, Keisuke Fujii, Takahiro Sagawa
Author Information
  1. Aki Kutvonen: Department of Applied Physics and Quantum-Phase Electronics Center (QPEC), The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan. aki.kutvonen@gmail.com.
  2. Keisuke Fujii: Graduate School of Science, Kyoto University, Sakyo-ku, Kyoto, 606-8502, Japan.
  3. Takahiro Sagawa: Department of Applied Physics and Quantum-Phase Electronics Center (QPEC), The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan.

Abstract

Quantum computing and neural networks show great promise for the future of information processing. In this paper we study a quantum reservoir computer (QRC), a framework harnessing quantum dynamics and designed for fast and efficient solving of temporal machine learning tasks such as speech recognition, time series prediction and natural language processing. Specifically, we study memory capacity and accuracy of a quantum reservoir computer based on the fully connected transverse field Ising model by investigating different forms of inter-spin interactions and computing timescales. We show that variation in inter-spin interactions leads to a better memory capacity in general, by engineering the type of interactions the capacity can be greatly enhanced and there exists an optimal timescale at which the capacity is maximized. To connect computational capabilities to physical properties of the underlaying system, we also study the out-of-time-ordered correlator and find that its faster decay implies a more accurate memory. Furthermore, as an example application on real world data, we use QRC to predict stock values.

References

  1. Nat Commun. 2017 Dec 19;8(1):2204 [PMID: 29259188]
  2. Nat Commun. 2014 Mar 24;5:3541 [PMID: 24662967]
  3. Sci Bull (Beijing). 2017 May 30;62(10):707-711 [PMID: 36659442]
  4. Sci Rep. 2012;2:514 [PMID: 22816038]
  5. Science. 2004 Apr 2;304(5667):78-80 [PMID: 15064413]
  6. Nature. 2015 Feb 26;518(7540):529-33 [PMID: 25719670]
  7. Nat Commun. 2013;4:1364 [PMID: 23322052]
  8. Nature. 2015 May 28;521(7553):436-44 [PMID: 26017442]
  9. Science. 2015 Jul 17;349(6245):261-6 [PMID: 26185244]
  10. Neural Netw. 2007 Apr;20(3):391-403 [PMID: 17517492]
  11. J R Soc Interface. 2014 Nov 6;11(100):20140437 [PMID: 25185579]
  12. Neural Comput. 1997 Nov 15;9(8):1735-80 [PMID: 9377276]
  13. Neural Comput. 2002 Nov;14(11):2531-60 [PMID: 12433288]

Word Cloud

Created with Highcharts 10.0.0quantumcapacitystudyreservoircomputermemoryinteractionscomputingshowprocessingQRCtimeseriespredictioninter-spinQuantumneuralnetworksgreatpromisefutureinformationpaperframeworkharnessingdynamicsdesignedfastefficientsolvingtemporalmachinelearningtasksspeechrecognitionnaturallanguageSpecificallyaccuracybasedfullyconnectedtransversefieldIsingmodelinvestigatingdifferentformstimescalesvariationleadsbettergeneralengineeringtypecangreatlyenhancedexistsoptimaltimescalemaximizedconnectcomputationalcapabilitiesphysicalpropertiesunderlayingsystemalsoout-of-time-orderedcorrelatorfindfasterdecayimpliesaccurateFurthermoreexampleapplicationrealworlddatausepredictstockvaluesOptimizing

Similar Articles

Cited By (7)