Quantum Error-Correcting Codes

Publication year: 2012
Source: Classical and Quantum Information, 2012, Pages 455-562

Dan C., Marinescu , Gabriela M., Marinescu

 Summary: We are concerned with: (a) transmission of quantum information over a quantum channel expected to preserve some degree of coherence; (b) the effect of passage of time over a set of qubits which interact with the environment.; (c) the result of the transformation performed by noisy quantum gates on a set of qubits. This chapter covers subspace codes and subsystem codes. The first type of quantum codes are subspaces of the state space of the qubits with the property that an initial state of the subspace can be recovered when few qubits are affected by errors; the subspace codes are…