Protocols for sharing genuine multipartite entanglement by employing copies of biseparable states
arXiv:2601.16840 · doi:10.1103/3b7n-g94w
Abstract
Sharing genuine multipartite entanglement by considering collective use of copies of biseparable states, which are entangled across all bipartitions but lack genuine multipartite entanglement at the single-copy level, plays a central role in several quantum information processing protocols, and has been referred as genuine multipartite entanglement activation. We present a protocol for three-qutrit systems showing that two copies of rank-two biseparable states, entangled across every bipartition, are sufficient to generate a genuinely multipartite entangled state with nonzero probability. This contrasts with the three-qubit scenario where many copies of biseparable states might be required for sharing genuine multipartite entanglement. We subsequently generalize our protocols to the case of an arbitrary number of parties. Interestingly, the proposed construction naturally leads to the activation of genuinely nonlocal correlations, yielding a result that is stronger than genuine multipartite entanglement activation alone.
arXiv comment7 pages, 1 figure, close to published version
References in corpus (35)
- Quantum entanglement
- Mixed State Entanglement and Quantum Error Correction
- Decoherence, einselection, and the quantum origins of the classical
- Quantum secret sharing
- Concentrating Partial Entanglement by Local Operations
- Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
- Bell nonlocality
- Entanglement detection
- Decoherence, the measurement problem, and interpretations of quantum mechanics
- How to share a quantum secret
- Quantum Resource Theories
- Quantum privacy amplification and the security of quantum cryptography over noisy channels
- Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
- Realization of a multi-node quantum network of remote solid-state qubits
- Multipartite entanglement and high precision metrology
- All multipartite Bell correlation inequalities for two dichotomic observables per site
- Relating the Resource Theories of Entanglement and Quantum Coherence
- Multi-partite entanglement speeds up quantum key distribution in networks
- General Resource Theories in Quantum Mechanics and Beyond: Operational Characterization via Discrimination Tasks
- Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension
- Super-activation of quantum non-locality
- Detection of multipartite entanglement in the vicinity of symmetric Dicke states
- Activation of genuine multipartite entanglement: Beyond the single-copy paradigm of entanglement characterisation
- Experimental entanglement activation from discord in a programmable quantum measurement
- Entanglement Access Control for the Quantum Internet
- The first law of general quantum resource theories
- Activation of entanglement from quantum coherence and superposition
- Nonlocality activation in entanglement swapping chains
- Reversibility of quantum resources through probabilistic protocols
- Activation of metrologically useful genuine multipartite entanglement
- Activation of nonlocality in bound entanglement
- Hierarchy of Genuine Multipartite Quantum Correlations
- Activation of entanglement in teleportation
- Multi-copy activation of genuine multipartite entanglement in continuous-variable systems
- All multipartite entanglements are quantum coherences in locally distinguishable bases