Entanglement verification for quantum key distribution systems with an underlying bipartite qubit-mode structure
arXiv:quant-ph/0510022 · doi:10.1103/PhysRevA.73.012341
Abstract
We consider entanglement detection for quantum key distribution systems that use two signal states and continuous variable measurements. This problem can be formulated as a separability problem in a qubit-mode system. To verify entanglement, we introduce an object that combines the covariance matrix of the mode with the density matrix of the qubit. We derive necessary separability criteria for this scenario. These criteria can be readily evaluated using semidefinite programming and we apply them to the specific quantum key distribution protocol.
6 pages, 2 figures, v2: final version
References in corpus (15)
- Quantum Cryptography
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Peres-Horodecki separability criterion for continuous variable systems
- Inseparability criterion for continuous variable systems
- Bound entangled Gaussian states
- Entanglement as precondition for secure quantum key distribution
- No-Switching Quantum Key Distribution using Broadband Modulated Coherent Light
- Some Properties of the Computable Cross Norm Criterion for Separability
- Virtual Entanglement and Reconciliation Protocols for Quantum Cryptography with Continuous Variables
- Separability Criterion for all bipartite Gaussian States
- Distillability Criterion for all Bipartite Gaussian States
- Separability in 2xN composite quantum systems
- A practical limitation for continuous-variable quantum cryptography using coherent states
- Detecting two-party quantum correlations in quantum key distribution protocols
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