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2-(v, 5; m) spontaneous emission error designs.
- Source :
- Designs, Codes & Cryptography; May2020, Vol. 88 Issue 5, p951-970, 20p
- Publication Year :
- 2020
-
Abstract
- Quantum jump codes are quantum codes which correct errors caused by quantum jumps. A t-spontaneous emission error design (t-SEED) was introduced by Beth et al. in 2003 to construct quantum jump codes. The number of designs (dimension) in a t-SEED corresponds to the number of orthogonal basis states in a quantum jump code. Denote by M ¯ (t , k , v) the largest possible dimension m for which a nondegenerate t-(v, k; m) SEED exists. M ¯ (2 , 3 , v) has been determined completely, which is based on a great deal of research on large sets of Steiner triple systems and large sets of pairwise disjoint compatible 2-(v, 3, 1) packings. For k = 4 , the upper bounds on dimensions of 2-(v, 4; m) SEEDs were also demonstrated and the corresponding leave graphs were investigated in Zhou and Chang (J Combin Des 24:439–460, 2016). In this paper we turn our attention to the case t = 2 and k = 5 . We present general upper bounds on the dimensions of 2-(v, 5; m) SEEDs and describe the concrete leave graphs of the 2-SEEDs attaining the stated upper bounds. [ABSTRACT FROM AUTHOR]
- Subjects :
- STEINER systems
ATOMIC transitions
QUANTUM states
Subjects
Details
- Language :
- English
- ISSN :
- 09251022
- Volume :
- 88
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Designs, Codes & Cryptography
- Publication Type :
- Academic Journal
- Accession number :
- 142848739
- Full Text :
- https://doi.org/10.1007/s10623-020-00722-1