On a construction of a nonstabilizer clifford quantum code for 2h(2j+1)‐level states

Abstract

The construction of an infinite number of nonstabilizer codes of Clifford type was given for the first time by the authors. However, the method of construction was restricted to encoding from odd prime p-level quantum states to 2p-level states. In this paper, the result is extended to the construction of nonstabilizer-type quantum codes which encode quantum states of arbitrary odd 2j+1-level to quantum states of 2h(2j+1)-level, where h are mutually prime 2j+1. © 2006 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 90(4): 63 – 68, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecjc.20222