Two-step hyperentanglement purification with the quantum-state-joining method
arXiv:1408.0048 · doi:10.1103/PhysRevA.90.052309
Abstract
Hyperentanglement is a promising resource in quantum information processing, especially for increasing the channel capacity of long-distance quantum communication. Hyperentanglement purification is an important method to obtain high-fidelity nonlocal hyperentangled states from mixed hyperentangled states in a long-distance quantum communication process with noisy channels. Here, we present a two-step hyperentanglement purification protocol for nonlocal mixed hyperentangled states with polarization bit-flip errors and spatial-mode phase-flip errors, resorting to polarization-spatial phase-check quantum nondemolition detectors and the quantum-state-joining method (QSJM). With QSJM, the protocol can preserve the states that are discarded in the previous hyperentanglement purification protocols. It has the advantage of a high efficiency, and it is useful for improving the entanglement of photon systems with several degrees of freedom in long-distance high-capacity quantum communication.
16 pages, 8 figures
References in corpus (42)
- Quantum Cryptography
- Quantum secret sharing
- Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
- A Two-Step Quantum Direct Communication Protocol Using Einstein-Podolsky-Rosen Pair Block
- Theoretical efficient high capacity Quantum Key Distribution Scheme
- Quantum privacy amplification and the security of quantum cryptography over noisy channels
- Beating the channel capacity limit for linear photonic superdense coding
- Efficient Multi-Party Quantum Secret Sharing Schemes
- Generation of Hyperentangled Photons Pairs
- Feasible Entanglement Purification for Quantum Communication
- General Scheme for Super Dense Coding between Multi-Parties
- Efficient quantum key distribution over a collective noise channel
- Complete hyperentangled-Bell-state analysis for quantum communication
- Experimental demonstration of a hyper-entangled ten-qubit Schrödinger cat state
- Efficient polarization entanglement purification based on parametric down-conversion sources with cross-Kerr nonlinearity
- Polarization Entanglement Purification using Spatial Entanglement
- One-step deterministic polarization entanglement purification using spatial entanglement
- Hyperentanglement-assisted Bell-state analysis
- Multi-Particle Entanglement Purification Protocols
- The entanglement beam splitter: a quantum-dot spin in a double-sided optical microcavity
- Deterministic polarization-entanglement purification using spatial entanglement
- Hyperentanglement concentration for two-photon four-qubit systems with linear optics
- Complete and Deterministic discrimination of polarization Bell state assisted by momentum entanglement
- One-step error correction for multipartite polarization entanglement
- Complete hyperentangled-Bell-state analysis for photon systems assisted by quantum-dot spins in optical microcavities
- Loss-resistant state teleportation and entanglement swapping using a quantum-dot spin in an optical microcavity
- Hyper-parallel photonic quantum computation with coupled quantum dots
- Hyperentanglement of two photons in three degrees of freedom
- Hyperentangled Bell-state analysis
- All-Versus-Nothing Violation of Local Realism by Two-Photon, Four-Dimensional Entanglement
- Deterministic photonic spatial-polarization hyper-controlled-not gate assisted by quantum dot inside one-side optical microcavity
- Faithful qubit transmission against collective noise without ancillary qubits
- Efficient multipartite entanglement purification with the entanglement link from a subspace
- Hyperentanglement purification and concentration assisted by diamond NV centers inside photonic crystal cavities
- Deterministic polarization entanglement purification using time-bin entanglement
- All-Versus-Nothing Violation of Local Realism for Two Entangled Photons
- Quantum state fusion in photons
- Distinguishability of hyperentangled Bell state by linear evolution and local projective measurement
- High-fidelity entanglement purification using chains of atoms and optical cavities
- Entanglement purification without controlled-NOT gates by using the natural dynamics of spin chains
- Permanent tuning of quantum dot transitions to degenerate microcavity resonances
- Entanglement purification protocol for a mixture of a pure entangled state and a pure product state
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- Generation and complete nondestructive analysis of hyperentanglement assisted by nitrogen-vacancy centers in resonators
- Experimental one-step deterministic entanglement purification
- Self-assisted complete maximally hyperentangled state analysis via the cross-Kerr nonlinearity
- Faithful entanglement purification for high-capacity quantum communication with two-photon four-qubit systems
- Complete Bell-state analysis for superconducting-quantum-interference-device qubits with transitionless tracking algorithm
- Polarization entanglement purification of nonlocal microwave photons based on the cross-Kerr effect in circuit QED
- Complete hyperentangled Bell state analysis for polarization and time-bin hyperentanglement
- Self-error-rejecting photonic qubit transmission in polarization-spatial modes with linear optical elements
- Entanglement concentration of microwave photons based on Kerr effect in circuit QED
- High-efficiency three-party quantum key agreement protocol with quantum dense coding and Bell states
- Implementing two-photon three-degree-of-freedom hyper-parallel controlled phase flip gate through cavity-assisted interactions
- Quantum Key Distribution with High Order Fibonacci-like Orbital Angular Momentum States
- Entanglement concentration and purification of two-mode squeezed microwave photons in circuit QED
- Entanglement purification of nonlocal quantum-dot-confined electrons assisted by double-sided optical microcavities
- Hyperparallel transistor, router and dynamic random access memory with unity fidelities
- Complete analysis of the maximally hyperentangled state via the weak cross-Kerr nonlinearity
- Complete hyperentangled Greenberger-Horne-Zeilinger state analysis for polarization and time-bin hyperentanglement
- Feasible logic Bell-state analysis with linear optics
- Complete nondestructive analysis of two-photon six-qubit hyperentangled Bell states assisted by cross-Kerr nonlinearity