Hero

Three lectures (11 am to 12:30 pm) on quantum error correction and bosonic coding

I provide a brief introduction to the tenets of quantum error correction using the four-qubit code, making contact with concatenated, CSS, stabilizer, and rotated surface codes. I then go over bosonic quantum memories, organizing them into bosonic stabilizer codes and bosonic Fock-state codes. I conclude by overviewing six use cases of bosonic encodings, three of which circumvent no-go theorems due to the infinite-dimensionality of bosonic Hilbert space.

Times:

Mon, Aug 1, 11 am to 12:30 pm est: Lecture 1 - Introduction to quantum error correction

Theory of quantum circuits with Abelian symmetries and new methods for circuit synthesis with XY interaction

In this talk, I will first provide an overview of an ongoing project on symmetric quantum circuits and then discuss two related recent results from this year. The overarching goal of this project is to investigate the properties of quantum circuits constructed from k-local gates that all respect a global symmetry, such as U(1) or SU(d). It turns out that general unitary transformations respecting a global symmetry cannot be realized by composing local gates with the same symmetry, which contrasts with the universality of 2-local gates in the absence of symmetries.

Steane Error Correction with Trapped Ions

Quantum states can quickly decohere due to their interaction with the environment and imperfections in the applied quantum controls. Quantum error correction promises to preserve coherence by encoding the state of each qubit into a multi-qubit state with a high-degree of symmetry. Perturbations are first detected by measuring the symmetries of the quantum state and then corrected by applying a set of gates based on the measurements.

Simulating the Schwinger Model and Testing Symmetry Protection with Trapped Ion

Gauge theory is a powerful theoretical framework for understanding the fundamental forces in the standard model. Simulating the real time dynamics of gauge theory, especially in the strong coupling regime, is a challenging classical problem. Quantum computers offer a solution to this problem by taking advantage of the intrinsic quantum nature of the systems. The Schwinger model, that is the 1+1 dimensional U(1) gauge theory coupled to fermions, has served as a testbed for different methods of quantum simulation.

Grant Writing Workshop

How to write successful grant proposals, pushing your writing skills to the next level. Our speaker will provide an overview of grant writing and discuss successful strategies. Come prepared with your questions.

You can send your questions in advance to rqs-seed@umiacs.umd.edu.

Lunch will be provided.

RQS Journal Club: Quantum spin ice in three-dimensional Rydberg atom arrays

Quantum spin liquids are exotic phases of matter whose low-energy physics is described as the deconfined phase of an emergent gauge theory. With recent theory proposals and an experiment showing preliminary signs of Z2 topological order [G. Semeghini et al., Science 374, 1242 (2021)], Rydberg atom arrays have emerged as a promising platform to realize a quantum spin liquid. In this work, we propose a way to realize a U(1) quantum spin liquid in three spatial dimensions, described by the deconfined phase of U(1) gauge theory in a pyrochlore lattice Rydberg atom array.