# Efficient Verification of Dicke States

@article{Liu2019EfficientVO, title={Efficient Verification of Dicke States}, author={Ye Liu and Xiao-Dong Yu and Jiangwei Shang and Huangjun Zhu and Xiangdong Zhang}, journal={Physical Review Applied}, year={2019} }

Among various multipartite entangled states, Dicke states stand out because their entanglement is maximally persistent and robust under particle losses. Although much attention has been attracted for their potential applications in quantum information processing and foundational studies, the characterization of Dicke states remains as a challenging task in experiments. Here, we propose efficient and practical protocols for verifying arbitrary $n$-qubit Dicke states in both adaptive and…

## 30 Citations

### Efficient Verification of Phased Dicke States

- Computer Science
- 2020

An optimal protocol is constructed for any antisymmetric basis state of Dicke states; the number of tests required decreases monotonically with number of parties, which is the only optimal protocol known for multipartite nonstabilizer states.

### Verification of phased Dicke states

- Materials Science
- 2021

Dicke states are typical examples of quantum states with genuine multipartite entanglement. They are valuable resources in many quantum information processing tasks, including multiparty quantum…

### Towards the standardization of quantum state verification using optimal strategies

- Physics
- 2020

The recently proposed two-qubit entangled state verification strategies are experimentally realized using both local measurements (nonadaptive) and active feed-forward operations ( Adaptive) with a photonic platform to serve as a standardized procedure for the verification of quantum states.

### Optimal verification of stabilizer states

- Computer Science
- 2020

This work provides a lower bound on the sample complexity of any verification protocol based on separable measurements, which is independent of the number of qubits and the specific stabilizer state, and proposes a simple algorithm for constructing optimal protocols based on Pauli measurements.

### Optimal Verification of Greenberger-Horne-Zeilinger States

- Computer Science, Mathematics
- 2019

These protocols provide a highly efficient way for estimating the fidelity and certifying genuine multipartite entanglement using only one test when the local dimension is sufficiently large and can be improved further if additional communications are allowed.

### Verification of arbitrary entangled states with homogeneous local measurements

- Computer Science
- 2022

This work presents a systematic strategy to tackle the problem of how to design an arbitrary entangled state protocol by considering the locality of what the authors initiate as the choice-independent measurement protocols, whose operators can be directly achieved when they are homogeneous.

### Quantum Verification and Estimation with Few Copies

- PhysicsAdvanced Quantum Technologies
- 2022

As quantum technologies advance, the ability to generate increasingly large quantum states has experienced rapid development. In this context, the verification and estimation of large entangled…

### Efficient verification of entangled continuous-variable quantum states with local measurements

- Physics, Computer SciencePhysical Review Research
- 2021

This work establishes a systematic framework for verifying entangled continuous-variable quantum states by employing local measurements only and is able to achieve the unconditionally high verification efficiency which is quadratically better than quantum tomography as well as other nontomographic methods.

### Efficient Verification of Ground States of Frustration-Free Hamiltonians

- Physics
- 2022

Ground states of local Hamiltonians are of key interest in many-body physics and also in quantum information processing. Eﬃcient veriﬁcation of these states are crucial to many applications, but are…

### Statistical Methods for Quantum State Verification and Fidelity Estimation

- PhysicsAdvanced Quantum Technologies
- 2022

The efficient and reliable certification of quantum states is essential for various quantum information processing tasks as well as for the general progress on the implementation of quantum…

## References

SHOWING 1-10 OF 45 REFERENCES

### Experimental Optimal Verification of Entangled States Using Local Measurements.

- PhysicsPhysical review letters
- 2020

The performance difference between quantum state verification and quantum state tomography is compared in an experiment to characterize a four-photon Greenberger-Horne-Zeilinger state, and the results indicate the advantage of quantum state verify in both the achieved efficiency and precision.

### Efficient verification of pure quantum states with applications to hypergraph states

- Computer Science
- 2018

A general recipe to constructing efficient verification protocols for the adversarial scenario from protocols devised for the nonadversarial scenario is offered and a simple protocol for verifying hypergraph states is proposed which is dramatically more efficient than all known candidates based on local measurements, including tomography and direct fidelity estimation.

### Optimal Verification of Entangled States with Local Measurements.

- Computer SciencePhysical review letters
- 2018

This work finds the optimal strategy in this case and shows that quadratically fewer total measurements are needed to verify to within a given fidelity than in published results for quantum state tomography, Bell test, or fidelity estimation protocols.

### Experimental few-copy multi-particle entanglement detection

- Physics, Computer ScienceNature physics
- 2019

A general scheme for a resource-efficient probabilistic detection of multipartite entanglement is demonstrated on six-partite cluster states and can be carried out with a remarkably low number of copies and in the presence of experimental imperfections, making it a practical and applicable method to verify large-scale quantum devices.

### Self-testing multipartite entangled states through projections onto two systems

- Computer ScienceNew Journal of Physics
- 2018

A simple, and potentially unifying, approach is investigated: combining projections onto two-qubit spaces (projecting parties or degrees of freedom) and then using maximal violation of the tilted CHSH inequalities, which allows one to obtain self-testing of Dicke states and partially entangled GHZ states with two measurements per party.

### Beating the classical precision limit with spin-1 Dicke states of more than 10,000 atoms

- PhysicsProceedings of the National Academy of Sciences
- 2018

This work reports the generation of balanced Dicke states comprising spin-1 (three-level) atoms and the subsequent demonstration of enhanced interferometric sensitivity over the standard quantum limit facilitated by them, and shines light on the pursuit of quantum metrology beyond SQL.

### Efficient Verification of Hypergraph States

- Computer SciencePhysical Review Applied
- 2019

This work proposes a simple method for verifying hypergraph states which requires only two distinct Pauli measurements for each party, yet its efficiency is comparable to the best strategy based on entangling measurements.

### Experimentally feasible set of criteria detecting genuine multipartite entanglement in n-qubit Dicke states and in higher-dimensional systems

- Physics
- 2011

We construct a set of criteria detecting genuine multipartite entanglement in arbitrary dimensional multipartite systems. These criteria are optimally suited for detecting multipartite entanglement…

### Verification of Many-Qubit States

- Physics, Computer SciencePhysical Review X
- 2018

This paper shows that a variety of many-qubit quantum states can be verified with only sequential single-qu bit measurements of Pauli operators, and introduces a protocol for verifying ground states of Hamiltonians and proposes an adaptive test of stabilizers.

### Experimental realization of Dicke states of up to six qubits for multiparty quantum networking.

- PhysicsPhysical review letters
- 2009

It is shown that Dicke states have interesting applications in multiparty quantum networking protocols such as open-destination teleportation, telecloning, and quantum secret sharing.