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Liquidity Optimization in Gross Settlement Systems with Quantum Reordering: Application to TARGET2

Author

Listed:
  • Valerio Astuti
  • Adriano Baldeschi
  • Luca Bastianelli
  • Giuseppe Bruno
  • Riccardo Russo
  • Ajit Desai
  • Danica Marsden

Abstract

In McMahon et al. (2024) the authors demonstrated the effectiveness of a hybrid quantum solver in improving the liquidity efficiency of Canada’s high-value payments system (HVPS), altering the payment queue in order to minimize liquidity requirements. In this work, we apply a similar technique to the Italian segment of TARGET2, the Eurosystem’s HVPS, using the Constrained Quadratic Model (CQM) solver provided by D-Wave. This application achieves improvements in optimizing payment batches of size 70 and 140, showing daily average liquidity savings of respectively EUR 23 million and EUR 38 million over a 35 days sample. In addition we clarify the causes and possible extent of the liquidity savings realized. Introducing a machine learning framework to identify batch features that enhance liquidity savings, we find that batch optimizability increases with the number of participants acting as both senders and receivers, as well as the number of unique receivers within the batch. Finally we benchmark the CQM solver results against those obtained using a simulated annealing algorithm (SAA) under the same time constraints, finding comparable liquidity savings for batch sizes of 70 and 140 payments. The SAA is extended to handle batch sizes of up to 700 payments, a scale that is challenging for current quantum hardware, demonstrating a more than tenfold increase in liquidity savings.

Suggested Citation

  • Valerio Astuti & Adriano Baldeschi & Luca Bastianelli & Giuseppe Bruno & Riccardo Russo & Ajit Desai & Danica Marsden, 2026. "Liquidity Optimization in Gross Settlement Systems with Quantum Reordering: Application to TARGET2," Staff Working Papers 26-32, Bank of Canada.
    • Handle: RePEc:bca:bocawp:26-32
    DOI: 10.34989/swp-2026-32
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    References listed on IDEAS

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    1. Martin, Antoine & McAndrews, James, 2008. "Liquidity-saving mechanisms," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 554-567, April.
    2. Massimo Bernaschi & Isidoro González-Adalid Pemartín & Víctor Martín-Mayor & Giorgio Parisi, 2024. "The quantum transition of the two-dimensional Ising spin glass," Nature, Nature, vol. 631(8022), pages 749-754, July.
    3. Ajit Desai & Zhentong Lu & Hiru Rodrigo & Jacob Sharples & Phoebe Tian & Nellie Zhang, 2023. "From LVTS to Lynx: Quantitative Assessment of Payment System Transition," Staff Working Papers 23-24, Bank of Canada.
    4. Evangelos Benos & Rodney J. Garratt & Peter Zimmerman, 2014. "The Role of Counterparty Risk in CHAPS Following the Collapse of Lehman Brothers," International Journal of Central Banking, International Journal of Central Banking, vol. 10(4), pages 143-172, December.
    5. Desai, Ajit & Lu, Zhentong & Rodrigo, Hiru & Sharples, Jacob & Tian, Phoebe & Zhang, Nellie, 2023. "From LVTS to Lynx: Quantitative assessment of payment system transition in Canada," Journal of Payments Strategy & Systems, Henry Stewart Publications, vol. 17(3), pages 291-314, September.
    6. Antoine Martin & James J. McAndrews, 2008. "An economic analysis of liquidity-saving mechanisms," Economic Policy Review, Federal Reserve Bank of New York, vol. 14(Sep), pages 25-39.
    7. Christopher McMahon & Donald McGillivray & Ajit Desai & Francisco Rivadeneyra & Jean-Paul Lam & Thomas Lo & Danica Marsden & Vladimir Skavysh, 2024. "Improving the Efficiency of Payments Systems Using Quantum Computing," Management Science, INFORMS, vol. 70(10), pages 7325-7341, October.
    8. Bech, Morten L. & Garratt, Rod, 2003. "The intraday liquidity management game," Journal of Economic Theory, Elsevier, vol. 109(2), pages 198-219, April.
    9. Enghin Atalay & Antoine Martin & James J. McAndrews, 2008. "The welfare effects of a liquidity-saving mechanism," Staff Reports 331, Federal Reserve Bank of New York.
    10. Emile Aarts & Jan Korst & Wil Michiels, 2005. "Simulated Annealing," Springer Books, in: Edmund K. Burke & Graham Kendall (ed.), Search Methodologies, chapter 0, pages 187-210, Springer.
    11. Martin, Antoine & McAndrews, James, 2010. "A study of competing designs for a liquidity-saving mechanism," Journal of Banking & Finance, Elsevier, vol. 34(8), pages 1818-1826, August.
    12. Biliana Alexandrova Kabadjova & Anton Badev & Saulo Benchimol Bastos & Evangelos Benos & Freddy Cepeda- Lopéz & James Chapman & Martin Diehl & Ioana Duca-Radu & Rodney Garratt & Ronald Heijmans & Anne, 2023. "Intraday liquidity around the world," BIS Working Papers 1089, Bank for International Settlements.
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    JEL classification:

    • C - Mathematical and Quantitative Methods
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs
    • C83 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Survey Methods; Sampling Methods
    • E - Macroeconomics and Monetary Economics
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Systems; Standards; Regimes; Government and the Monetary System
    • E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

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