# Entanglement detection via general SIC-POVMs

@article{Xi2016EntanglementDV, title={Entanglement detection via general SIC-POVMs}, author={Ya Xi and Zhu-Jun Zheng and Chuan-Jie Zhu}, journal={Quantum Information Processing}, year={2016}, volume={15}, pages={5119-5128} }

We study separability problem using general symmetric informationally complete measurements and propose separability criteria in $$\mathbb {C}^{d_{1}}\otimes \mathbb {C}^{d_{2}}$$Cd1⊗Cd2 and $$\mathbb {C}^{d_{1}}\otimes \mathbb {C}^{d_{2}}\cdots \otimes \mathbb {C}^{d_{n}}$$Cd1⊗Cd2⋯⊗Cdn. Our criteria just require less local measurements and provide experimental implementation in detecting entanglement of unknown quantum states.

## 12 Citations

### Informational power of the Hoggar SIC-POVM

- Physics
- 2015

Among positive operator valued measures (POVMs) representing general quantum measurements, symmetric informationally complete (SIC) POVMs, called by Christopher Fuchs ‘mysterious entities’, play a…

### New Separability Criteria Based on Two Classes of Measurements

- Physics
- 2018

We investigate entanglement detection using mutually unbiased measurements and general symmetric informationally complete positive operator-valued measurements. Four separability criteria are…

### Detecting EPR steering via two classes of local measurements

- PhysicsQuantum Inf. Process.
- 2020

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…

### Entanglement Witnesses Based on Symmetric Informationally Complete Measurements

- Computer Science
- 2020

It can be found this witness detects more entanglement than previous separability method given also by SIC-POVM.

### Improved separability criteria via some classes of measurements

- MathematicsQuantum Inf. Process.
- 2018

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.

### Enhanced entanglement criterion via symmetric informationally complete measurements

- PhysicsPhysical Review A
- 2018

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…

### Entanglement properties of multipartite informationally complete quantum measurements

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2018

We analyze tight informationally complete measurements for arbitrarily large multipartite systems and study their configurations of entanglement. We demonstrate that tight measurements cannot be…

### Entanglement criterion via general symmetric informationally complete measurements

- PhysicsQuantum Inf. Process.
- 2018

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.

### Construction of general symmetric-informationally-complete–positive-operator-valued measures by using a complete orthogonal basis

- MathematicsPhysical Review A
- 2022

A general symmetric informationally complete (GSIC)-positive operator valued measure (POVM) is known to provide an optimal quantum state tomography among minimal IC-POVMs with a ﬁxed average purity.…

### Entanglement criterion via general symmetric informationally complete measurement

- PhysicsJournal 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…

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