11 papers · 1 filter
Mixed-register Stabilizer Codes: A Coding-theoretic Perspective
Himanshu Dongre, Lane G. Gunderman
Protecting information in systems that have more than two basis states (qudits) not only offers a promising route for reducing the number of individual quantum locations that must…
New local stabilizer codes from local classical codes
Lane G. Gunderman
Amongst quantum error-correcting codes the surface code has remained of particular promise as it has local and very low-weight checks, even despite only encoding a single logical q…
Beyond Integral-Domain Stabilizer Codes
Lane G. Gunderman
Quantum error-correcting codes aim to protect information in quantum systems to enable fault-tolerant quantum computations. The most prevalent method, stabilizer codes, has been we…
Thermal state structure in the Tavis--Cummings model and rapid simulations in mesoscopic quantum ensembles
Lane G. Gunderman, Troy Borneman, David G. Cory
Hybrid quantum systems consisting of a collection of N spin-1/2 particles uniformly interacting with an electromagnetic field, such as one confined in a cavity, are important for t…
Weight Reduced Stabilizer Codes with Lower Overhead
Eric Sabo, Lane G. Gunderman, Benjamin Ide +2
Stabilizer codes are the most widely studied class of quantum error-correcting codes and form the basis of most proposals for a fault-tolerant quantum computer. A stabilizer code i…
Minimal qubit representations of Hamiltonians via conserved charges
Lane G. Gunderman, Andrew J. Jena, Luca Dellantonio
In the last years, we have been witnessing a tremendous push to demonstrate that quantum computers can solve classically intractable problems. This effort, initially focused on the…