Format results
-
An introduction to quantum LDPC code
David Poulin - Université de Sherbrooke
-
Overview of the theory of spin glasses and its applications to quantum codes
Hidetoshi Nishimori - Tokyo Institute of Technology
-
Maximum likelihood decoding threshold as a phase transition
Leonid Pryadko - University of California, Riverside
-
Spin glass reflection of the decoding transition for space-time codes
Alexey Kovalev - University of California, Riverside
-
Fault-Tolerant Quantum Computation with Constant Overhead
Daniel Gottesman - University of Maryland, College Park
-
-
Quantum computing by color-code lattice surgery
Andrew Landahl - University of New Mexico
-
-
Quantum codes – from experimental realizations to quantum foundations
Robert Raussendorf - Leibniz University Hannover
-
TBA
John Preskill - California Institute of Technology (Caltech) - Division of Physics Mathematics & Astronomy
-
Is scalable quantum error correction realistic? Some projects, thoughts and open questions.
Barbara Terhal - Delft University of Technology
-
-
An introduction to quantum LDPC code
David Poulin - Université de Sherbrooke
In this talk, I will cover some basic notions of quantum LDPC codes, focusing on the similarities and distinctions with their classical cousins. Topics will include definitions of stabilizer quantum LDPC codes (CSS and general), iterative decoding algorithms, dual spin models, and obstructions… -
Overview of the theory of spin glasses and its applications to quantum codes
Hidetoshi Nishimori - Tokyo Institute of Technology
I will review the theory of spin glasses with an emphasis on gauge symmetry. A number of exact results will be shown to be derived, some of which are useful to discuss the properties of quantum LDPC codes. Also will be explained is the combination of gauge symmetry, replica method, and duality… -
Maximum likelihood decoding threshold as a phase transition
Leonid Pryadko - University of California, Riverside
In maximum likelihood (ML) decoding, we are trying to find the most likely error given the measured syndrome. While this is hardly ever practical, such a decoder is expected to have the highest threshold. I will discuss the mapping between the ML threshold for an infinite family of stabilizer codes… -
Spin glass reflection of the decoding transition for space-time codes
Alexey Kovalev - University of California, Riverside
We introduce space-time quantum code construction which is based on repeating the layers of an arbitrary quantum error correcting code. The error threshold of such space-time construction is shown to be related to the fault tolerant error threshold of the original quantum error correcting code in… -
Fault-Tolerant Quantum Computation with Constant Overhead
Daniel Gottesman - University of Maryland, College Park
The threshold theorem for fault tolerance tells us that it is possible to build arbitrarily large reliable quantum computers provided the error rate per physical gate or time step is below some threshold value. Most research on the threshold theorem so far has gone into optimizing the tolerable… -
Quantum Error Correction 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… -
Quantum computing by color-code lattice surgery
Andrew Landahl - University of New Mexico
In this talk, I will explain how to use lattice surgery to enact a universal set of fault-tolerant quantum operations with color codes. Along the way, I will also show how to improve existing surface-code lattice-surgery methods. Lattice-surgery methods use fewer qubits and the same time or less… -
Injectivity radius bounds on the minimum distance of quantum LDPC codes
Only a rare number of constructions of quantum LDPC codes are equipped with an unbounded minimum distance. Most of them are inspired by Kitaev toric codes constructed from the a tiling of the torus such as, color codes which are based on 3-colored tilings of surfaces, hyperbolic codes which are… -
Quantum codes – from experimental realizations to quantum foundations
Robert Raussendorf - Leibniz University Hannover
This talk is divided into two parts. In the first part, I discuss a scheme of fault-tolerant quantum computation for a web-like physical architecture of a quantum computer. Small logical units of a few qubits (realized in ion traps, for example) are linked via a photonic interconnect which provides… -
TBA
John Preskill - California Institute of Technology (Caltech) - Division of Physics Mathematics & Astronomy
-
Is scalable quantum error correction realistic? Some projects, thoughts and open questions.
Barbara Terhal - Delft University of Technology
-
Gauge color codes
Hector Bombin - PsiQuantum Corp.
I will describe a new class of topological quantum error correcting codes with surprising features. The constructions is based on color codes: it preserves their unusual transversality properties but removes important drawbacks. In 3D, the new codes allow the effectively transversal implementation…