2011/01/02 by Hiroyuki Tomita, Tomita, Hiroyuki, Mikio Nakahara +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1101.0413
8 pages, 3 figures
arxiv created 2011/01/07 · arxiv updated 2015/03/17
We propose a quantum error correction without error detection. A quantum state ρ0 combined with an ancilla state σ is encoded unitarily and an error operator is applied on the encoded state. The recovery operation then produces a tensor product state ρ0 ⊗ σ'. The decoding operation is combined with the recovery operation and the state ρ0 is directly reproduced without referring to the code word. A higher rank projection operator required for a conventional operator quantum error correction is not necessary to implement. Encoding and the recovery operations are implemented with unitary operators only, which makes quantum error correction much easier than any other proposals.