Monogamy relation in multipartite continuous-variable quantum teleportation
arXiv:1612.06063 · doi:10.1103/PhysRevA.94.062318
Abstract
Quantum teleportation (QT) is a fundamentally remarkable communication protocol that also finds many important applications for quantum informatics. Given a quantum entangled resource, it is crucial to know to what extent one can accomplish the QT. This is usually assessed in terms of output fidelity, which can also be regarded as an operational measure of entanglement. In the case of multipartite communication when each communicator possesses a part of -partite entangled state, not all pairs of communicators can achieve a high fidelity due to monogamy property of quantum entanglement. We here investigate how such a monogamy relation arises in multipartite continuous-variable (CV) teleportation particularly using a Gaussian entangled state. We show a strict monogamy relation, i.e. a sender cannot achieve a fidelity higher than optimal cloning limit with more than one receiver. While this seems rather natural owing to the no-cloning theorem, a strict monogamy relation still holds even if the sender is allowed to individually manipulate the reduced state in collaboration with each receiver to improve fidelity. The local operations are further extended to non-Gaussian operations such as photon subtraction and addition, and we demonstrate that the Gaussian cloning bound cannot be beaten by more than one pair of communicators. Furthermore we investigate a quantitative form of monogamy relation in terms of teleportation capability, for which we show that a faithful monogamy inequality does not exist.
10 pages, 6 figures, published version
References in corpus (11)
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Monogamy inequality for distributed Gaussian entanglement
- The optimal cloning of quantum coherent states is non-Gaussian
- Unitarily localizable entanglement of Gaussian states
- Equivalence between Entanglement and the Optimal Fidelity of Continuous Variable Teleportation
- Monogamy of Bell's inequality violations in non-signaling theories
- Optimal fidelity of teleportation of coherent states and entanglement
- Gaussian localizable entanglement
- Quantum steering of multimode Gaussian states by Gaussian measurements: monogamy relations and the Peres conjecture
- Entanglement distillation for continuous-variables under a thermal environment: Effectiveness of a non-Gaussian operation
- Continuous-variable dense coding via a general Gaussian state: Monogamy relation