Entanglement swapping of noisy states: A kind of superadditivity in nonclassicality
arXiv:quant-ph/0311194 · doi:10.1103/PhysRevA.72.042310
Abstract
We address the question as to whether an entangled state that satisfies local realism will give a violation of the same, after entanglement swapping in a suitable scenario. We consider such possibility as a kind of superadditivity in nonclassicality. Importantly, it will indicate that checking for violation of local realism, in the state obtained after entanglement swapping, can be a method for detecting entanglement in the input state of the swapping procedure. We investigate various entanglement swapping schemes, which involve mixed initial states. The strength of violation of local realism by the state obtained after entanglement swapping, is compared with the one for the input states. We obtain a kind of superadditivity of violation of local realism for Werner states, consequent upon entanglement swapping involving Greenberger-Horne-Zeilinger state measurements. We also discuss whether entanglement swapping of specific states may be used in quantum repeaters with a substantially reduced need to perform the entanglement distillation step.
arXiv comment11 pages, 6 figures, RevTeX4; v2: new discussions added, published version
References in corpus (26)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Mixed State Entanglement and Quantum Error Correction
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
- Quantum privacy amplification and the security of quantum cryptography over noisy channels
- Quantum repeaters based on entanglement purification
- A Multiparticle Generalization of Entanglement Swapping
- Feasible Entanglement Purification for Quantum Communication
- All multipartite Bell correlation inequalities for two dichotomic observables per site
- Bell's theorem for general N-qubit states
- Purification via entanglement swapping and conserved entanglement
- Bell inequality, Bell states and maximally entangled states for n qubits
- Violation of Bell's inequality: criterion for quantum communication complexity advantage
- Quantum Communication between N partners and Bell's inequalities
- Entanglement versus Bell violations and their behaviour under local filtering operations
- Quantum communication complexity protocol with two entangled qutrits
- Four Photon Entanglement from Down Conversion
- Collective tests for quantum nonlocality
- Spectral decomposition of Bell's operators for qubits
- Unified criterion for security of secret sharing in terms of violation of Bell inequality
- Distillability, Bell inequalities and multiparticle bound entanglement
- Tripartite entanglement and quantum relative entropy
- Modeling the Singlet State with Local Variables
- Bell theorem involving all possible local measurements
- Output state in multiple entanglement swapping
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