Tag Archives: error correction

Q+ Hangout: Steven Flammia

Here are the details of the next Q+ hangout.

Speaker: Steven Flammia (University of Sydney)

Title: Thermalization, Error-Correction, and Memory Lifetime for Ising Anyon Systems

We consider two-dimensional lattice models that support Ising anyonic excitations and are coupled to a thermal bath, and we propose a phenomenological model to describe the resulting short-time dynamics, including pair-creation, hopping, braiding, and fusion of anyons. By explicitly constructing topological quantum error-correcting codes for this class of system, we use our thermalization model to estimate the lifetime of quantum information stored in the code space. To decode and correct errors in these codes, we adapt several existing topological decoders to the non-Abelian setting: one based on Edmond’s perfect matching algorithm and one based on the renormalization group. These decoders provably run in polynomial time, and one of them has a provable threshold against a simple iid noise model. Using numerical simulations, we find that the error correction thresholds for these codes/decoders are comparable to similar values for the toric code (an Abelian sub-model consisting of a restricted set of allowed anyons). To our knowledge, these are the first threshold results for quantum codes without explicit Pauli algebraic structure. Joint work with Courtney Brell and Simon Burton.

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Q+ Hangout: David Poulin

Here are the details of the next Q+ hangout.

Date/time: Mon. 27th May 2013 3pm BST (UTC+1)

Speaker: David Poulin (University of Sherbrooke)

Title: Tradeoffs Between Thermal and Quantum Fluctuations in 2D Quantum Memories

Abstract: Under a certain set of conditions collectively known as “local topological order”, the low energy spectrum of a system is robust to local perturbations. This has the consequence that quantum information encoded in the degenerate ground state of such a system is stable at zero temperature. On the other hand, the existence of a macroscopic energy barrier between ground states imply that information encoded in the low energy manifold is robust against thermal fluctuations. Here, we demonstrate that for local commuting projector codes, local topological order prohibits the existence of an energy barrier, which shows a tradeoff between robustness to quantum and thermal fluctuations.

To watch the talk live, go to http://gplus.to/qplus at the appointed hour. To keep up to date with the latest news about Q+ hangouts you can follow us on:

or visit our website.