Changing the Local-Dimension of an Entanglement-Assisted Stabilizer Code Removes Entanglement Need

• URL: http://arxiv.org/abs/2012.13395v2
• Date: Thu, 28 Jan 2021 18:52:21 GMT
• Title: Changing the Local-Dimension of an Entanglement-Assisted Stabilizer Code Removes Entanglement Need
• Authors: Lane G. Gunderman
• Abstract summary: We show that codes for qudit quantum computers can be derived from already known codes. This could prove to be useful for fault-tolerant qudit, and even qubit, quantum computers.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 instead use systems with more states, so called qudit quantum computers. In this paper we show that codes for these systems can be derived from already known codes, and in particular this procedure removes the need for shared entanglement in entanglement-assisted quantum error-correcting codes, which is a result which could prove to be useful for fault-tolerant qudit, and even qubit, quantum computers.

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