Reliable channel-adapted error correction: Bacon-Shor code recovery from amplitude damping
arXiv:1704.05857 · doi:10.1103/PhysRevLett.119.250501
Abstract
We construct two simple error correction schemes adapted to amplitude damping noise for Bacon-Shor codes and investigate their prospects for fault-tolerant implementation. Both consist solely of Clifford gates and require far fewer qubits, relative to the standard method, to achieve correction to a desired order in the damping rate. The first, employing one-bit teleportation and single-qubit measurements, needs only one fourth as many physical qubits, while the second, using just stabilizer measurements and Pauli corrections, needs only half. We show that existing fault-tolerance methods can be employed for the latter, while the former can be made to avoid potential catastrophic errors and can easily cope with damping faults in ancilla qubits.
arXiv comment8 pages, 1 figure
References in corpus (19)
- Mixed State Entanglement and Quantum Error Correction
- Quantum Computing with Very Noisy Devices
- A Theory of Quantum Error-Correcting Codes
- Stabilizer Codes and Quantum Error Correction
- Operator Quantum Error Correcting Subsystems for Self-Correcting Quantum Memories
- Methodology for quantum logic gate constructions
- Active stabilisation, quantum computation and quantum state synthesis
- Ultrafast and Fault-Tolerant Quantum Communication across Long Distances
- Approximate quantum error correction can lead to better codes
- Subsystem fault tolerance with the Bacon-Shor code
- Loss Tolerant Optical Qubits
- Tensor-Network Simulations of the Surface Code under Realistic Noise
- Structured Near-Optimal Channel-Adapted Quantum Error Correction
- Quantum Error-Correcting Codes for Qudit Amplitude Damping
- Fault-tolerant quantum computation with asymmetric Bacon-Shor codes
- Approximate quantum error correction for generalized amplitude damping errors
- Hard decoding algorithm for optimizing thresholds under general Markovian noise
- Multi-Error-Correcting Amplitude Damping Codes
- Concatenated Codes for Amplitude Damping