Linear-Optical Hyperentanglement-Assisted Quantum Error-Correcting Code
arXiv:0807.4906 · doi:10.1103/PhysRevA.79.022305
Abstract
We propose a linear-optical implementation of a hyperentanglement-assisted quantum error-correcting code. The code is hyperentanglement-assisted because the shared entanglement resource is a photonic state hyperentangled in polarization and orbital angular momentum. It is possible to encode, decode, and diagnose channel errors using linear-optical techniques. The code corrects for polarization "flip" errors and is thus suitable only for a proof-of-principle experiment. The encoding and decoding circuits use a Knill-Laflamme-Milburn-like scheme for transforming polarization and orbital angular momentum photonic qubits. A numerical optimization algorithm finds a unit-fidelity encoding circuit that requires only three ancilla modes and has success probability equal to 0.0097.
6 pages, 2 figures, 1 table, Accepted for publication in Physical Review A
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- Generation and complete nondestructive analysis of hyperentanglement assisted by nitrogen-vacancy centers in resonators
- Maximal Success Probabilities of Linear-Optical Quantum Gates
- On Exchange of Orbital Angular Momentum Between Twisted Photons and Atomic Electrons
- Implementing two-photon three-degree-of-freedom hyper-parallel controlled phase flip gate through cavity-assisted interactions
- Generic Two-Qubit Photonic Gates Implemented by Number-Resolving Photodetection
- Radius of a Photon Beam with Orbital Angular Momentum
- Atomic form factor for twisted vortex photons interacting with atoms
- Imperfect Linear Optical Photonic Gates with Number-Resolving Photodetection
- Complete analysis and generation of hyperentangled Greenberger-Horne-Zeilinger state for photons using quantum-dot spins in optical microcavities
- Polarization-path-frequency entanglement using interferometry and frequency shifters
- Proposed Experiment in Two-Qubit Linear Optical Photonic Gates for Maximal Success Rates