Threshold (Q, P) Quantum Distillation
arXiv:2408.15274 · doi:10.1103/6zdc-j51g
Abstract
Quantum distillation is the task of concentrating quantum correlations present in 'N' imperfect copies using free operations by involving all 'P' parties sharing the quantum correlations. We present a threshold quantum distillation task where the same objective is achieved but using fewer parties 'Q'. In particular, we give exact local filtering operations by the participating parties sharing a high-dimension multipartite GHZ or W state to distil the perfect quantum correlation. Specifically, an arbitrary GHZ state can be distilled using just one party in the network, as both the success probability of the distillation protocol and the fidelity after the distillation are independent of the number of parties. However, for a general W-state, at least 'P-1' parties are required for the distillation, indicating a strong relationship between the distillation and the separability of such states. Further, we connect threshold entanglement distillation and quantum steering distillation.
15 pages, including supplementary, six figures, and toy examples
References in corpus (24)
- Bell nonlocality
- Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Bound entanglement can be activated
- Towards real-world quantum networks: a review
- Genuine high-dimensional quantum steering
- Distilling Non-Locality
- Advantage distillation for device-independent quantum key distribution
- Entanglement purification and protection in a superconducting quantum network
- Bound non-locality and activation
- Optimal Protocols for Nonlocality Distillation
- Distillation of quantum steering
- Optimized Quantum Networks
- Randomness Certification from Multipartite Quantum Steering for Arbitrary Dimensional Systems
- Steering-enhanced quantum metrology using superpositions of noisy phase shifts
- Continuous-variable entanglement distillation and non-commutative central limit theorems
- Bounds for Non-Locality Distillation Protocols
- Certification of a Nonprojective Qudit Measurement using Multiport Beamsplitters
- Random multiparty entanglement distillation
- Exact Steering Bound for Two-Qubit Werner States
- Entanglement Features of Random Neural Network Quantum States
- Distillation of genuine tripartite Einstein-Podolsky-Rosen steering
- Entanglement Purification with Quantum LDPC Codes and Iterative Decoding
- Quantum Nonlocal Boxes Exhibit Stronger Distillability