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Probing Gauge Symmetries and 
Gauge-Matter Interactions 
using Tensor Networks

Project description

Advancing quantum simulations with tensor networks

The manipulation and understanding of highly entangled quantum matter is rapidly advancing. Quantum platforms are now being used to emulate complex quantum systems, offering new insights into the quantum world. Classical computers have been instrumental in simulating these systems, but as research extends into regimes of stronger coupling and out-of-equilibrium conditions, new computational methods are required. The ERC-funded GaMaTeN will develop tensor network techniques to study quantum lattice systems with gauge symmetries. The project will provide a computational framework to explore high-density phases, non-equilibrium dynamics, and entanglement perspectives, offering valuable insights for future quantum experiments. Additionally, the algorithms developed will be open-source, ensuring long-lasting contributions to the field.

Objective

We are in the midst of the second quantum revolution. Highly entangled quantum matter is being discovered, engineered, controlled and probed across a wide range of scales and conditions; quantum platforms are being used to emulate other quantum systems. The ability to simulate the quantum world on classical computers has been instrumental in guiding, validating and diagnosing these exciting developments. As the quantum world is probed beyond regimes of weak coupling and near-equilibrium, novel computational methods are required that can faithfully parameterise the peculiar entanglement patterns of physical quantum states in a scalable manner. The central goal of GaMaTeN is the design and application of tensor network methods for studying quantum lattice systems with gauge symmetries, the universal paradigm that governs high-energy particles as well as low-temperature condensed matter. A computational framework will be developed for targeting interacting gauge and matter degrees of freedom in conditions that are beyond the reach of the ubiquitous Monte Carlo sampling techniques. Equilibrium properties of phases with high baryonic densities as well as non-equilibrium dynamical effects such as the phenomenon of string breaking or the spontaneous particle production in strong external fields will be investigated. At the conceptual level, a unique entanglement perspective on the non-perturbative real-space scaling behaviour of gauge theories will be provided. Furthermore, the advancements in this proposal are essential in order for tensor networks to uphold their instrumental role in assisting and benchmarking future quantum simulation proposals and experiments. The tensor network algorithms developed in the GaMaTeN project will be optimised for high performance and will maximally exploit symmetries. They will be released as a general-purpose open-source library, which offers the potential for a lasting impact far beyond the scope of this proposal.

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Programme(s)

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Topic(s)

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Funding Scheme

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

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(opens in new window) ERC-2023-COG

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Host institution

UNIVERSITEIT GENT
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 1 997 500,00
Address
SINT PIETERSNIEUWSTRAAT 25
9000 GENT
Belgium

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Region
Vlaams Gewest Prov. Oost-Vlaanderen Arr. Gent
Activity type
Higher or Secondary Education Establishments
Links
Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 1 997 500,00

Beneficiaries (1)

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