This is my daily tweet/toot/blog post, giving a short summary of a new paper about quantum error correction on the arXiv. Today in QEC on the arXiv: Space-time optimized table lookup We describe a space-time optimized circuit for the table lookup subroutine from lattice-surgery surface code primitives…arxiv.org The multi-qubit operation known as ‘table lookup’ is becoming an important subroutine used in quantum algorithms. Here they look at optimized ways to…

This is my daily tweet/toot/blog post, giving a short summary of a new paper about quantum error correction on the arXiv. Today in QEC on the arXiv Ground state degeneracy on torus in a family of $\mathbb{Z}_N$ toric code Topologically ordered phases in $2+1$ dimensions are generally characterized by three mutually-related features…arxiv.org Qudit toric codes that have all the properties of topologically ordered systems, except ground state degeneracy. From a QEC perspective, this means that…

This is my daily tweet/toot/blog post, giving a short summary of a new paper about quantum error correction on the arXiv. Today in QEC on the arXiv : Quantum Error Correction in the Lowest Landau Level We develop finite-dimensional versions of the quantum error-correcting codes proposed by Albert, Covey, and Preskill…arxiv.org GKP codes are continuous-variable, but discrete versions can also be defined with the same features. GKP codes can also be generalized to…

This is my daily tweet/toot/blog post, giving a short summary of a new paper about quantum error correction on the arXiv. Today in QEC on the arXiv: A glimpse of the future of fault-tolerance by Dan Gottesman. Opportunities and Challenges in Fault-Tolerant Quantum Computation I will give an overview of what I see as some of the most important future directions in the theory of fault-tolerant…arxiv.org

This is part of a series on quantum error correction. For other parts, check out the link at the bottom. Last time we saw how the toric code protects against bit flip errors. These errors that change the values of the qubits in the grid, flipping them from 0 to…

This is the seventh post in a series on quantum error correction. For other parts, check out the link at the bottom. The Toric Code so far We have a bunch of qubits, which we call physical qubits. These are too noisy to do anything useful. To make a useful qubit, which we call a…

This is the sixth post in a series on quantum error correction. For other parts, check out the link at the bottom. Last time we introduced the toric code, which is a way of making many noisy qubits (which we called physical qubits) into one with hardly any noise at…

This is the fifth post in a series on quantum error correction. For other parts, check out the link at the bottom. We want to build a quantum computer. For that we need quantum bits or qubits. The ones we can build will always be too noisy to be used…

This is the fourth post in a series on quantum error correction. For other parts, check out the link at the bottom. In the next set of posts we will be moving on to the promised land: we will start looking at surface codes. These were everyone’s favourite codes back…