Optical implementation of a unitarily correctable code
arXiv:0909.1584 · doi:10.1103/PhysRevA.80.022311
Abstract
Noise poses a challenge for any real-world implementation in quantum information science. The theory of quantum error correction deals with this problem via methods to encode and recover quantum information in a way that is resilient against that noise. Unitarily correctable codes are an error correction technique wherein a single unitary recovery operation is applied without the need for an ancilla Hilbert space. Here, we present the first optical implementation of a non-trivial unitarily correctable code for a noisy quantum channel with no decoherence-free subspaces or noiseless subsystems. We show that recovery of our initial states is achieved with high fidelity (>=0.97), quantitatively proving the efficacy of this unitarily correctable code.
6 pages, 3 figures
References in corpus (17)
- Distributed Entanglement
- On the Measurement of Qubits
- Decoherence Free Subspaces for Quantum Computation
- Noiseless Quantum Codes
- A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
- Ultra-bright source of polarization-entangled photons
- Quantum Computers and Dissipation
- A Theory of Quantum Error-Correcting Codes
- Preserving coherence in quantum computation by pairing quantum bits
- Theory of Decoherence-Free Fault-Tolerant Universal Quantum Computation
- A Unified and Generalized Approach to Quantum Error Correction
- Stabilizing Quantum Information
- Experimental application of decoherence-free subspaces in a quantum-computing algorithm
- Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise
- A Magnetic Resonance Realization of Decoherence-Free Quantum Computation
- A method to find quantum noiseless subsystems
- Quantum Error Correcting Subsystems are Unitarily Recoverable Subsystems