5 papers
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…
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…