Jul 17 – 22, 2022
Royal Conservatory of Music, Toronto
America/Toronto timezone

Simulating Gauge Theories in $1+1$d with Bosonic Quantum Circuits

Jul 18, 2022, 5:00 PM
1h 30m
Hart House (Hart House)

Hart House

Hart House

7 Hart House Cir, Toronto, ON M5S 3H3
Poster presentation Quantum information: gates, sensing, communication, and thermodynamics Poster session


Quantum simulations of lattice gauge theories in qubits require a truncation of the infinite dimensional Hilbert space. This alters the behavior of the model. However, recent progress in the control of bosonic qubits, which naturally host a large dimensional Hilbert space, points the way to efficient simulation of lattice gauge theories in $1+1$d that generalizes well to higher dimensions. We consider novel and realistic implementations of these models in circuit QED, in two different experimental regimes. We analyze the phase diagrams with matrix product state simulations and implement a variational quantum eigensolver in Bosonic Qiskit - our extension of Qiskit to bosonic circuits - to obtain the ground states. Furthermore, we compare the complexity of simulating lattice gauge theories with qubit and circuit QED architectures, finding that the latter provides orders of magnitude higher efficiency. Our results may be generalized to higher dimensions and non-abelian field theories.

Presenter name Eleanor Crane
How will you attend ICAP-27? I am planning on in-person attendance

Primary authors

Eleanor Crane Mr Teague Tomesh (Princeton) Dr Kevin Smith (Yale) Dr Lena Funke (MIT) Dr Stefan Kuhn (Cyprus) Dr Michael Demarco (MIT) Prof. Isaac Chuang (MIT) Prof. Nathan Wiebe (University of Toronto) Prof. Steven Girvin (Yale)

Presentation materials

There are no materials yet.