When an environmental disturbance to a quantum system has a wavelength much larger than the system size, all qubits in the system are under the action of the same error operator. The noiseless subsystem and decoherence-free subspace are immune to such collective noise. We construct simple quantum circuits that implement these error-avoiding codes for a small number n of physical qubits. A single logical qubit is encoded with n=3 and 4, while two and three logical qubits are encoded with n=5 and 7, respectively. Recursive relations among subspaces employed in these codes play essential roles in our implementation.
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Publication status||Published - 5 Oct 2011|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics