2h(2j+1)準位量子状態に対する非スタビライザ型クリフォード符号構成( 量子情報工学論文)

萩原 学, 秀樹 今井

Manabu Hagiwara, Hideki Imai

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

Takasi Aoki

弘幸 松浦, 正博 中野, 信雄 野田 +4 more

Mitsuyoshi Tomiya, Naotaka Yoshinaga

We construct the arbitrary order parasupersymmetric quantum mechanics of one boson and one parafermion degrees of freedom. The parasupersymmetry algebra is Q^<2j>Q^++Q^<2j-1>Q^+Q+・・・+Q^+Q^<2j> = a_jQ^<2j-1>H, Q^<2J+1>=0, [Q,H]=0, where 2j represents the order of parasupersymmetry, H is the Hamiltonian and Q is the parasupercharge. Superpotentials of any order are introduced without breaking the above algebra.

孝治 福島, 根本幸児, 高山一