General SIC measurement-based entanglement detection

@article{Chen2015GeneralSM,
  title={General SIC measurement-based entanglement detection},
  author={Bin Chen and Tao Li and S. M. Fei},
  journal={Quantum Information Processing},
  year={2015},
  volume={14},
  pages={2281-2290}
}
We study the quantum separability problem by using general symmetric informationally complete measurements and present separability criteria for both $$d$$d-dimensional bipartite and multipartite systems. The criterion for bipartite quantum states is effective in detecting several well-known classes of quantum states. For isotropic states, it becomes both necessary and sufficient. Furthermore, our criteria can be experimentally implemented, and the criterion for two-qudit states requires less… 
View on Springer
arxiv.org
36 Citations
Highly Influential Citations
1
Background Citations
6
Methods Citations
4
Results Citations
1

36 Citations

Citation Type

Citation Type

New Separability Criteria Based on Two Classes of Measurements
We investigate entanglement detection using mutually unbiased measurements and general symmetric informationally complete positive operator-valued measurements. Four separability criteria are…
Improved separability criteria via some classes of measurements
TLDR
Based on mutually unbiased measurements and general symmetric informationally complete positive-operator-valued measures, separability criteria for bipartite quantum states are presented, which, by theoretical analysis, are stronger than the related existing criteria via these measurements.
Linking entanglement detection and state tomography via quantum 2-designs
TLDR
An experimentally feasible and efficient method for detecting entangled states with measurements that extend naturally to a tomographically complete set, and is twice as effective as standard witnesses in the sense that both upper and lower bounds can be derived.
Entanglement criterion via general symmetric informationally complete measurement
  • Jun Li, Lin Chen
  • Physics
    Journal of Physics A: Mathematical and Theoretical
  • 2021
We propose entanglement criteria for multipartite systems via symmetric informationally complete measurement and general symmetric informationally complete measurement. We apply these criteria to…
Detecting high-dimensional multipartite entanglement via some classes of measurements
TLDR
Criteria detecting entanglement of arbitrary high dimensional multi-qudit systems and multipartite systems of subsystems with different dimensions are presented and proved to be more efficient and wider of application range than the previous ones.
Enhanced entanglement criterion via symmetric informationally complete measurements
We show that a special type of measurements, called symmetric informationally complete positive operator-valued measures (SIC POVMs), provide a stronger entanglement detection criterion than the…
Operational Detection of Entanglement via Quantum Designs
From an operational point of view, several new entanglement detection criteria are proposed using quantum designs. These criteria are constructed by considering the correlations defined with quantum…
Entanglement criterion via general symmetric informationally complete measurements
TLDR
This work studies the quantum separability problem by using general symmetric informationally complete measurements and presents a separability criterion for arbitrary dimensional bipartite systems that is more powerful than the existing ones in entanglement detection.
Entanglement detection via some classes of measurements
Based on the mutually unbiased bases, the mutually unbiased measurements and the general symmetric informationally complete positive-operator-valued measures, we propose three separability criteria…
Detecting EPR steering via two classes of local measurements
We study the Einstein–Podolsky–Rosen steering and present steerability criteria for arbitrary qubit-qudit (qudit-qubit) systems based on mutually unbiased measurements and general symmetric…
...
1
2
3
4
...

References

SHOWING 1-10 OF 103 REFERENCES
Entanglement Detection Using Mutually Unbiased Measurements
We study the entanglement detection by using mutually unbiased measurements and provide a quantum separability criterion that can be experimentally implemented for arbitrary $d$-dimensional bipartite…
Entanglement detection via mutually unbiased bases
We investigate correlations among complementary observables. In particular, we show how to take advantage of mutually unbiased bases (MUBs) for the detection of entanglement in arbitrarily…
Comprehensive test of entanglement for two-level systems via the indeterminacy relationship.
TLDR
A 3-setting Bell-type inequality enforced by the indeterminacy relation of complementary local observables is proposed as an experimental test of 2-qubit entanglement, and it turns out that the orientation of the local testing observables plays a crucial role in the perfect detection of entangling.
Further results on entanglement detection and quantification from the correlation matrix criterion
The correlation matrix (CM) criterion is a recently derived powerful sufficient condition for the presence of entanglement in bipartite quantum states of arbitrary dimensions. It has been shown that…
The generalized partial transposition criterion for separability of multipartite quantum states
Inequalities Detecting Quantum Entanglement for 2 ⊗ d Systems
We present a set of inequalities for detecting quantum entanglement of 2 x d quantum states. For 2 x 2 and 2 x 3 systems, the inequalities give rise to sufficient and necessary separability…
Quantum Separability Criteria for Arbitrary Dimensional Multipartite States
We present separability criteria for both bipartite and multipartite quantum states. These criteria include the criteria based on the correlation matrix and its generalized form as special cases. We…
Optimal entanglement witnesses for qubits and qutrits
We study the connection between the Hilbert-Schmidt measure of entanglement (that is the minimal distance of an entangled state to the set of separable states) and entanglement witness in terms of a…
Entanglement detection
Test for entanglement using physically observable witness operators and positive maps
Motivated by the Peres-Horodecki criterion and the realignment criterion we develop a more powerful method to identify entangled states for any bipartite system through a universal construction of…
...
1
2
3
4
5
...