Tensor Networks in Simulation of Quantum matter

In the Quantum Science era where Noisy Intermediate-Scale Quantum (NISQ) devices are accessible, quantum information tools to guide their development play a fundamental role. With the foreseen increasing complexity of available NISQ devices, their classical simulations – that drove their development until now – will soon fail to keep up. There is thus an urgent need for increasingly powerful diagnostic tools that can be applied to quantum devices even in the quantum advantage regime. We plan to systematically develop quantum-inspired algorithms to benchmark, certify and validate quantum devices. At the center of the quantum-inspired algorithms lay tensor networks (TN), one of the most powerful paradigms for simulating quantum many-body lattice systems, both in- and out-of-equilibrium. Also exploiting TN algorithm, T-NiSQ will develop benchmarking tools for high-dimensional quantum systems in the presence of noise and test them in state-of-the-art quantum simulations and computations. The results of T-NiSQ will be an essential tool to advance our understanding of dynamical and strong- correlation effects in quantum matter also beyond the NISQ era. T-NiSQ’s results will have applications ranging from condensed matter physics over high-energy physics, quantum information theory, the design of new materials, and efficient chemical reactions.




  • Coordinator: Simone Montangero (National Institute for Nuclear Physics, IT)
  • Karl Jansen (Deutsches ElektronenSynchrotron & Max Planck Inst. Of Quantum Opt., DE)
  • Martin Ringbauer (University of Innsbruck, AT)
  • Enrique Rico (University of the Basque Country, ES)
  • Zala Lenarčič (Jožef Stefan Institute, SI)


PROJECT WEBSITE: https://t-nisq.pd.infn.it/

Call year

Call 2021

Call topic

Quantum Phenomena and Resources

Area of research

Quantum information sciences

Start date

May 2022


36 months

Funding support

€ 1 257 976

Project status

In Progress