# Converting coherence based on positive-operator-valued measures into entanglement

@inproceedings{Kim2021ConvertingCB, title={Converting coherence based on positive-operator-valued measures into entanglement}, author={Sunho Kim and Chunhe Xiong and Asutosh Kumar and Junde Wu}, year={2021} }

Sunho Kim,1, ∗ Chunhe Xiong,2, † Asutosh Kumar,3, 4, 5, ‡ and Junde Wu6, § School of Mathematical Sciences, Harbin Engineering University, Harbin 150001, China School of Computer and Computing Science, Zhejiang University City College, Hangzhou 310015, China P.G. Department of Physics, Gaya College, Magadh University, Rampur, Gaya 823001, India Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211019, India Vaidic and Modern Physics Research Centre, Bhagal Bhim, Bhinmal…

## 2 Citations

Beam splitter as quantum coherence-maker

- Physics
- 2022

The aim of this work is to answer the question of how much quantum coherence a beam splitter is able to produce. To this end we consider as the variables under study both the amount of coherence of…

Quantifying dynamical coherence with coherence measures

- EducationPhysical Review A
- 2021

Sunho Kim,1, ∗ Chunhe Xiong,2, † Asutosh Kumar,3, 4, 5, ‡ Guijun Zhang,6 and Junde Wu6, § School of Mathematical Sciences, Harbin Engineering University, Harbin 150001, China School of Computer and…

## References

SHOWING 1-10 OF 52 REFERENCES

Bell nonlocality

- Materials Science
- 2013

Nicolas Brunner, 2 Daniel Cavalcanti, 4 Stefano Pironio, Valerio Scarani, 6 and Stephanie Wehner 7 Département de Physique Théorique, Université de Genève, 1211 Genève, Switzerland H.H. Wills Physics…

Resource Theory of Coherence Based on Positive-Operator-Valued Measures.

- PhysicsPhysical review letters
- 2019

A generalization to a resource theory of coherence defined with respect to the most general quantum measurements, i.e., to arbitrary positive-operator-valued measures (POVMs) is introduced and a semidefinite program is provided that allows to characterize interconversion properties of resource states.

Quantum-coherence quantifiers based on the Tsallis relative α entropies

- Physics
- 2016

The concept of coherence is one of cornerstones in physics. The development of quantum information science has lead to renewed interest in properly approaching the coherence at the quantum level.…

Coherence, quantum Fisher information, superradiance, and entanglement as interconvertible resources

- Physics
- 2018

We demonstrate that quantum Fisher information and superradiance can be formulated as coherence measures in accordance with the resource theory of coherence, thus establishing a direct link between…

Geometric lower bound for a quantum coherence measure

- Physics
- 2015

Nowadays, geometric tools are being used to treat a huge class of problems of quantum information science. By understanding the interplay between the geometry of the state space and…

Structure of the Resource Theory of Quantum Coherence.

- PhysicsPhysical review letters
- 2017

This Letter proves several upper bounds on the maximum number of incoherent Kraus operators in a general incoherent operation, and introduces the class of Gibbs-preserving strictly incoherent operations, and solves the corresponding mixed-state conversion problem for a single qubit.

Measuring Quantum Coherence with Entanglement.

- PhysicsPhysical review letters
- 2015

This work demonstrates the usefulness of the approach by proving that the fidelity-based geometric measure of coherence is a full convex coherence monotone, and deriving a closed formula for it on arbitrary single-qubit states.

Reversible Framework for Quantum Resource Theories.

- MathematicsPhysical review letters
- 2015

The general structure of QRTs is discussed, and it is shown that under a few assumptions, a QRT is asymptotically reversible if its set of allowed operations is maximal, that is, if the allowed operations are the set of all operations that do not generate (asymptotical) a resource.

Quantifying coherence with respect to general quantum measurements

- Computer Science
- 2019

It is shown that the relative entropy of POVM-coherence is equal to the cryptographic randomness gain, providing an important operational meaning to the concept of coherence with respect to a general measurement.

Quantum resource theories

- PhysicsReviews of Modern Physics
- 2019

Quantum resource theories (QRTs) offer a highly versatile and powerful framework for studying different phenomena in quantum physics. From quantum entanglement to quantum computation, resource…