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Hyperbolic Poincare Projection


The field of circuit QED has emerged as a rich platform for both quantum computation and quantum simulation. Lattices of coplanar waveguide (CPW) resonators realize artificial photonic materials in the tight-binding limit. Combined with strong qubit-photon interactions, these systems can be used to study dynamical phase transitions, many-body phenomena, and spin models in driven-dissipative systems. These waveguide cavities are uniquely deformable and can produce lattices and networks which cannot readily be obtained in other systems, including periodic lattices in a hyperbolic space of constant negative curvature, and the one-dimensional nature of CPW resonators leads to degenerate flat bands. In our lab, we build experimental implementations of these systems using superconducting circuits.

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Group Lead

Alicia Kollár portrait

Alicia Kollár

Assistant Professor

Research Publications

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  • Image of a lattice device and data showing a qubit interacting with lattice modes

    Gapped Flat Band Lattice Interacting with Qubits

    November 1, 2023
  • Members of Kollár Lab

    Members of Kollár Lab Attend Halloween Party Hosted by the Physics Department

    October 27, 2023
  • a figure of a particular mathematical graph that looks like a criss-crossed grid

    Graphs May Prove Key in Search for Holy Grail of Quantum Error Correction

    October 24, 2022

    In February 2019, JQI Fellow Alicia Kollár, who is also an assistant professor of physics at UMD, bumped into Adrian Chapman, then a postdoctoral fellow at the University of Sydney, at a quantum information conference. Although the two came from very different scientific backgrounds, they quickly discovered that their research had a surprising commonality. They both shared an interest in graph theory, a field of math that deals with points and the connections between them. Their ensuing collaboration resulted in a new tool that aids in the search for new quantum error correction schemes—including the Holy Grail of self-correcting quantum error correction. They published their findings recently in the journal Physical Review X Quantum.

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