Abstract
In this paper, design of quantum convolutional codes and their encoder architectures have been investigated We claim that rate-1/(n + 1) quantum systematic convolutional codes can be constructed from rate-1/n classical nonsystematic convolutional codes, where n is greater than or equal to 2. The free distances (dfiee) of proposed rate-1/(n + 1) quantum systematic convolutional codes are larger than that of original rate-1/n classical nonsystematic convolutional codes. A quantum convolutional code encoder can be implemented by using quantum linear feed-forward shift registers and quantum exclusive-OR (controlled-NOT: CNOT) gates. A quantum memory may be used as a quantum state delay element of a quantum register. It is also shown that different encoder architectures are needed for quantum non-superposition and superposition state inputs. For quantum superposition state input, additional Hadamard gates should be used in conjunction with a quantum convolutional code encoder for quantum non-superposition state input.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1131-1135 |
| Number of pages | 5 |
| Journal | Conference Record - Asilomar Conference on Signals, Systems and Computers |
| Volume | 1 |
| State | Published - 2004 |
| Event | Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers - Pacific Grove, CA, United States Duration: Nov 7 2004 → Nov 10 2004 |