Physics – Quantum Physics
Scientific paper
2011-06-26
Physics
Quantum Physics
9 pages, 3 figures
Scientific paper
When the environmental disturbace to a quantum system has a wavelength much larger than the system size, all qubits localized within a small area are under action of the same error operators. Noiseless subsystem and decoherence free subspace are known to correct such collective errors. We construct simple quantum circuits, which implement these collective error correction codes, for a small number $n$ of physical qubits. A single logical qubit is encoded with $n=3$ and $n=4$, while two logical qubits are encoded with $n=5$. The recursive relations among the subspaces employed in noiseless subsystem and decoherence free subspace play essential r\^oles in our implementation. The recursive relations also show that the number of gates required to encode $m$ logical qubits increases linearly in $m$.
Li Chi-Kwong
Nakahara Mikio
Poon Yiu-Tung
Sze Nung-Sing
Tomita Hiroyuki
No associations
LandOfFree
Recursive Encoding and Decoding of Noiseless Subsystem and Decoherence Free Subspace does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Recursive Encoding and Decoding of Noiseless Subsystem and Decoherence Free Subspace, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recursive Encoding and Decoding of Noiseless Subsystem and Decoherence Free Subspace will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-585817