Concurrence for infinite-dimensional quantum systems
arXiv:1203.3933
Abstract
Concurrence is an important entanglement measure for states in finite-dimensional quantum systems that was explored intensively in the last decade. In this paper, we extend the concept of concurrence to infinite-dimensional bipartite systems and show that it is continuous and does not increase under local operation and classical communication (LOCC). Moreover, based on the partial Hermitian conjugate (PHC) criterion proposed in [Chin. Phys. Lett. \textbf{26}, 060305(2009); Chin. Sci. Bull. \textbf{56}(9), 840--846(2011)], we introduce a concept of the PHC measure and show that it coincides with the concurrence, which provides another perspective on the concurrence.
14 pages
References in corpus (14)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- A computable measure of entanglement
- Entanglement of a Pair of Quantum Bits
- Distributed Entanglement
- Quantifying Entanglement
- Scaling of Entanglement close to a Quantum Phase Transitions
- Universal state inversion and concurrence in arbitrary dimensions
- Decoherence and multipartite entanglement
- A Note on Invariants and Entanglements
- Convex-roof extended negativity as an entanglement measure for bipartite quantum systems
- An observable entanglement measure for unknown mixed quantum states
- Entanglement for rank-2 mixed states
- Dynamics of Entanglement and Bell-nonlocality for Two Stochastic Qubits with Dipole-Dipole Interaction
- Character of Locally Inequivalent Classes of States and Entropy of Entanglement