# One-shot Multiparty State Merging

@article{Dutil2010OneshotMS, title={One-shot Multiparty State Merging}, author={Nicolas Dutil and Patrick M. Hayden}, journal={ArXiv}, year={2010}, volume={abs/1011.1974} }

We present a protocol for performing state merging when multiple parties share a single copy of a mixed state, and analyze the entanglement cost in terms of min- and max-entropies. Our protocol allows for interpolation between corner points of the rate region without the need for time-sharing, a primitive which is not available in the one-shot setting. We also compare our protocol to the more naive strategy of repeatedly applying a single-party merging protocol one party at a time, by…

## 9 Citations

Assisted entanglement distillation

- Computer ScienceQuantum Inf. Comput.
- 2011

This work extends the notion of entanglement of assistance to arbitrary mixed tripartite states and exhibits a protocol, based on a random coding strategy, for extracting pureEntanglement, and demonstrates by the use of a simple example that this random measurement strategy outperforms hierarchical distillation strategies when the individual helper stations' states fail to individually factorize into portions associated specifically with Alice and Bob.

Multiparty quantum protocols for assisted entanglement distillation

- Computer Science, Physics
- 2011

This work extends the notion of entanglement of assistance to arbitrary states and gives a protocol for extracting pure Entanglement, a new protocol for the task of multiparty state merging, which does not require time-sharing for distributed compression of two senders.

Quantum Residual Correlation: Interpreting through State Merging

- Computer Science
- 2014

It is claimed that this result establishes a re conceptualization of information processing tasks in tripartite situations where the authors can use suitable measurement and states to bring down the cost of the protocol.

A Generalized Quantum Slepian–Wolf

- Computer ScienceIEEE Transactions on Information Theory
- 2018

A quantum generalization of the task considered by Slepian and Wolf regarding distributed source compression and provides the asymptotic and independent identically distributed analysis in the case when there is no side information with Charlie.

Distributed Encoding and Decoding of Quantum Information over Networks

- Computer Science, PhysicsAdvanced Quantum Technologies
- 2018

The results suggest that a quantitative difference in entanglement cost between encoding and decoding arises due to the difference between quantum state merging and splitting.

Quantum State Merging for Arbitrarily Small-Dimensional Systems

- Physics, Computer ScienceIEEE Transactions on Information Theory
- 2019

In the algorithms, the entanglement cost can be reduced depending on a structure of the given state derived from the Koashi-Imoto decomposition, and improved converse bounds are provided by applying smoothing to those for exact state merging.

Entanglement theory in distributed quantum information processing

- Physics
- 2019

Distributed quantum information processing is a promising platform for scaling up quantum information processing, where small- and intermediate-scale quantum devices are connected by a network of…

Hypergraph min-cuts from quantum entropies

- Computer ScienceJournal of Mathematical Physics
- 2021

It is proved that the min-cut function of any weighted hypergraph can be approximated by the entropies of quantum states known as stabilizer states, and it shows that the recently defined hypergraph cones are contained in the quantum stabilizer entropy cones, as has been conjecture in the recent literature.

Holographic duality from random tensor networks

- Physics
- 2016

A bstractTensor networks provide a natural framework for exploring holographic duality because they obey entanglement area laws. They have been used to construct explicit toy models realizing many of…

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