Title
Dual-code quantum computation model
Abstract
In this work, we propose the dual-code quantum computation model--a fault-tolerant quantum computation scheme which alternates between two different quantum error-correction codes. Since the chosen two codes have different sets of transversal gates, we can implement a universal set of gates transversally, thereby reducing the overall cost. We use code teleportation to convert between quantum states in different codes. The overall cost is decreased if code teleportation requires fewer resources than the fault-tolerant implementation of the non-transversal gate in a specific code. To analyze the cost reduction, we investigate two cases with different base codes, namely the Steane and Bacon-Shor codes. For the Steane code, neither the proposed dual-code model nor another variation of it achieves any cost reduction since the conventional approach is simple. For the Bacon-Shor code, the three proposed variations of the dual-code model reduce the overall cost. However, as the encoding level increases, the cost reduction decreases and becomes negative. Therefore, the proposed dual-code model is advantageous only when the encoding level is low and the cost of the non-transversal gate is relatively high.
Year
DOI
Venue
2015
10.1007/s11128-015-1022-0
Quantum Information Processing
Keywords
Field
DocType
Fault-tolerant quantum computation,Steane code,Bacon-Shor code,Reed-Muller code,Code conversion,Teleportation
Steane code,Constant-weight code,Quantum mechanics,Systematic code,Polynomial code,Algorithm,Cyclic code,Linear code,Reed–Muller code,Quantum convolutional code,Physics
Journal
Volume
Issue
ISSN
14
8
1570-0755
Citations 
PageRank 
References 
1
0.43
15
Authors
1
Name
Order
Citations
PageRank
Byung-Soo Choi1467.09