# Multipartite quantum correlations and local recoverability

@article{Wilde2015MultipartiteQC, title={Multipartite quantum correlations and local recoverability}, author={Mark M. Wilde}, journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, year={2015}, volume={471} }

Characterizing genuine multipartite quantum correlations in quantum physical systems has historically been a challenging problem in quantum information theory. More recently, however, the total correlation or multipartite information measure has been helpful in accomplishing this goal, especially with the multipartite symmetric quantum (MSQ) discord (Piani et al. 2008 Phys. Rev. Lett. 100, 090502. (doi:10.1103/PhysRevLett.100.090502)) and the conditional entanglement of multipartite information…

## 21 Citations

### Measures and applications of quantum correlations

- Physics, Computer Science
- 2016

This work gives an overview of the current quest for a proper understanding and characterisation of the frontier between classical and quantum correlations (QCs) in composite states, and focuses on various approaches to define and quantify general QCs, based on different yet interlinked physical perspectives.

### Squashed entanglement , k-extendibility , quantum Markov chains , and recovery maps

- Physics
- 2018

Squashed entanglement [Christandl and Winter, J. Math. Phys. 45(3):829-840 (2004)] is a monogamous entanglement measure, which implies that highly extendible states have small value of the squashed…

### Recoverability in quantum information theory

- Computer ScienceProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2015

If the decrease in quantum relative entropy between two quantum states after a quantum physical evolution is relatively small, then it is possible to perform a recovery operation, such that one can perfectly recover one state while approximately recovering the other.

### Measures of correlations in infinite-dimensional quantum systems

- Mathematics
- 2016

Several important measures of correlations of the state of a finite- dimensional composite quantum system are defined as linear combinations of marginal entropies of this state. This paper is devoted…

### Uniform continuity bounds for characteristics of multipartite quantum systems

- Physics, Computer ScienceJournal of Mathematical Physics
- 2021

It is shown that continuity bounds for the multipartite quantum mutual information and for the bipartite relative entropy of entanglement and its regularization are asymptotically tight for large energy.

### Squashed Entanglement, $$\mathbf {k}$$k-Extendibility, Quantum Markov Chains, and Recovery Maps

- Physics
- 2014

Squashed entanglement (Christandl and Winter in J. Math. Phys. 45(3):829–840, 2004) is a monogamous entanglement measure, which implies that highly extendible states have small value of the squashed…

### Monotonicity of quantum relative entropy and recoverability

- MathematicsQuantum Inf. Comput.
- 2015

A remainder term is established that quantifies how well one can recover from a loss of information by employing a rotated Petz recovery map, and it is shown that the monotonicity of relative entropy with respect to quantum operations is equivalent to each of the following inequalities.

### Characterising two-sided quantum correlations beyond entanglement via metric-adjusted f-correlations.

- Physics
- 2016

We introduce an infinite family of quantifiers of quantum correlations beyond entanglement which vanish on both classical-quantum and quantum-classical states and are in one-to-one correspondence…

### Uniform continuity bounds for characteristics of multipartite quantum systems

- Physics, Computer Science
- 2020

The obtained results are used to prove the asymptotic continuity of the n-partite squashed entanglement, c-squashedEntanglement and the conditional entanglements of mutual information under the energy constraints.

### Approximation of multipartite quantum states and the relative entropy of entanglement

- Physics
- 2021

Special approximation technique for analysis of different characteristics of states of multipartite infinite-dimensional quantum systems is proposed and applied to study of the relative entropy of…

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