11 citations · 36 across the 15 of their papers we have counts for
16 papers
Local-dimension-invariant low-density parity-check stabilizer codes
Md. Shahinul Islam, Aaryan Reza, Lane G. Gunderman
The protection of quantum information in systems leveraging more than two basis states (qudits) is an ongoing challenge. A tool for transforming the plethora of qubit stabilizer co…
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…
Stabilizer Codes with Exotic Local-dimensions
Lane G. Gunderman
Traditional stabilizer codes operate over prime power local-dimensions. In this work we extend the stabilizer formalism using the local-dimension-invariant setting to import stabil…
Transforming Collections of Pauli Operators into Equivalent Collections of Pauli Operators over Minimal Registers
Lane G. Gunderman
Transformations which convert between Fermionic modes and qubit operations have become a ubiquitous tool in quantum algorithms for simulating systems. Similarly, collections of Pau…
Degenerate Local-dimension-invariant Stabilizer Codes and an Alternative Bound for the Distance Preservation Condition
Lane G. Gunderman
One hurdle to performing reliable quantum computations is overcoming noise. One possibility is to reduce the number of particles needing to be protected from noise and instead use…
Local-dimension-invariant Calderbank-Shor-Steane Codes with an Improved Distance Promise
Arun J. Moorthy, Lane G. Gunderman
Quantum computers will need effective error-correcting codes. Current quantum processors require precise control of each particle, so having fewer particles to control might be ben…
Changing the Local-Dimension of an Entanglement-Assisted Stabilizer Code Removes Entanglement Need
Lane G. Gunderman
Having protected quantum information is essential to perform quantum computations. One possibility is to reduce the number of particles needing to be protected from noise and inste…
Generalized Collective Lamb Shift
Andrew Stasiuk, Lane G. Gunderman, Mohamed El Mandouh +2
Hybrid quantum systems consisting of an ensemble of two--level systems interacting with a single--mode electromagnetic field are important for the development of quantum informatio…
Local Dimension Invariant Qudit Stabilizer Codes
Lane G. Gunderman
Protection of quantum information from noise is a massive challenge. One avenue people have begun to explore is reducing the number of particles needing to be protected from noise…
Transforming Particular Stabilizer Codes into Hybrid Codes
Lane G. Gunderman
In this paper, we prove how to extend a subset of quantum stabilizer codes into a qudit hybrid code storing classical bits over a qudit space with dimension , with $p…
Recursive Quantum Qudit Convolutional Codes Need Not be Catastrophic
Lane G. Gunderman
Classical turbo codes efficiently approach the Shannon limit, and so bringing these over to the quantum scenario would allow for rapid transmission of quantum information. Early on…