A two reservoir model of quantum error correction
arXiv:quant-ph/0508155 · doi:10.1103/PhysRevA.73.022337
Abstract
We consider a two reservoir model of quantum error correction with a hot bath causing errors in the qubits and a cold bath cooling the ancilla qubits to a fiducial state. We consider error correction protocols both with and without measurement of the ancilla state. The error correction acts as a kind of refrigeration process to maintain the data qubits in a low entropy state by periodically moving the entropy to the ancilla qubits and then to the cold reservoir. We quantify the performance of the error correction as a function of the reservoir temperatures and cooling rate by means of the fidelity and the residual entropy of the data qubits. We also make a comparison with the continuous quantum error correction model of Sarovar and Milburn [Phys. Rev. A 72 012306].
20 pages, 10 figures
References in corpus (15)
- Elementary gates for quantum computation
- Good Quantum Error-Correcting Codes Exist
- Decoherence Free Subspaces for Quantum Computation
- Dynamical suppression of decoherence in two-state quantum systems
- Noiseless Quantum Codes
- A Theory of Quantum Error-Correcting Codes
- Quantum Error Correction and Orthogonal Geometry
- Overhead and noise threshold of fault-tolerant quantum error correction
- Universal Fault-Tolerant Computation on Decoherence-Free Subspaces
- Fault-Tolerant Error Correction with Efficient Quantum Codes
- Concatenating Decoherence Free Subspaces with Quantum Error Correcting Codes
- Robustness of Decoherence-Free Subspaces for Quantum Computation
- Continuous quantum error correction by cooling
- Entangling ions in arrays of microscopic traps
- Realistic fast quantum gates with hot trapped ions