Efficient simulation of lattice gauge theories with qudit quantum computers

05.09.2024, 11:00
30m
B052 (ASC)

B052

ASC

Theresienstr. 37

Sprecher

Dr. Jinglei Zhang (Institute for Quantum Computing)

Beschreibung

Particle physics underpins our understanding of the world at a fundamental level by describing the interplay of matter and forces through gauge theories. Yet, despite their unmatched success, the intrinsic quantum mechanical nature of gauge theories makes important problem classes notoriously difficult to address with classical computational techniques. A promising way to overcome these roadblocks is offered by quantum computers, which are based on the same laws that make the classical computations so difficult. Recent technological developments have made available qudit-based quantum computation on various experimental platforms, such as trapped ions, superconducting chips, and Rydberg atoms. This has further motivated research into applications of qudits in quantum error correction, quantum sensing, and quantum simulations, among other fields. In particular, qudits are ideally suited for describing gauge fields, which are naturally high-dimensional, leading to a dramatic reduction in the quantum register size and circuit complexity compared to qubit-based simulations. I will discuss recent proposals where qudit systems have been used to improve simulations of LGTs in higher spatial dimensions and non-Abelian LGT.

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