# Robust semi-device-independent certification of all pure bipartite maximally entangled states via quantum steering

@inproceedings{Shrotriya2020RobustSC, title={Robust semi-device-independent certification of all pure bipartite maximally entangled states via quantum steering}, author={Harshank Shrotriya and Kishor Bharti and Leong Chuan Kwek}, year={2020} }

The idea of self-testing is to render guarantees concerning the inner workings of a device based on the measurement statistics. It is one of the most formidable quantum certification and benchmarking schemes. Recently it was shown in [Coladangelo et al. Nat. Commun. 8, 15485 (2017)] that all pure bipartite entangled states can be self tested in the device independent scenario by employing subspace methods introduced by [Yang et al. Phys. Rev. A 87, 050102(R) (2013)]. Here, we have adapted their…

## 5 Citations

### Robust one-sided self-testing of two-qubit states via quantum steering

- MathematicsPhysical Review A
- 2022

Entangled two-qubit states are the core building blocks for constructing quantum communication networks. Their accurate veriﬁcation is crucial to the functioning of the networks, especially for…

### “All-versus-nothing” proof of genuine tripartite steering and entanglement certification in the two-sided device-independent scenario

- PhysicsQuantum Studies: Mathematics and Foundations
- 2022

We consider the task of certification of genuine entanglement of tripartite states. For this purpose, we first present an “all-versus-nothing” proof of genuine tripartite Einstein-Podolsky-Rosen…

### Robust certification of arbitrary outcome quantum measurements from temporal correlations

- Computer ScienceQuantum
- 2022

A protocol for certification of a particular set of d-outcome quantum measurements in a setup comprising of a preparation followed by two measurements in sequence, that is robust against practical non-ideal realizations.

### Distillation of genuine tripartite Einstein-Podolsky-Rosen steering

- Computer SciencePhysical Review A
- 2021

In each of these cases, it is shown that at least one copy of the perfectly genuine steerable assemblage can be distilled with certainty from infinitely many copies of initial assemblages, and the performance of the distillation protocols is quantified using the concept ofassemblage fidelity.

### Detecting the genuine multipartite two-way steerability with linear steering inequalities

- MathematicsQuantum Information Processing
- 2022

According to the fundamental idea that a steering inequality can be constructed by just considering the measurements performed by Bob, and from the definitions of steering from Alice to Bob, a…

## References

SHOWING 1-10 OF 72 REFERENCES

### All pure bipartite entangled states can be self-tested

- PhysicsNature communications
- 2017

This work addresses the long-standing open question of whether every pure bipartite entangled state is self-testable and answers it affirmatively by providing explicit self-testing correlations for all such states.

### 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.

### Rigidity of quantum steering and one-sided device-independent verifiable quantum computation

- Mathematics
- 2015

The relationship between correlations and entanglement has played a major role in understanding quantum theory since the work of Einstein et al (1935 Phys. Rev. 47 777–80). Tsirelson proved that Bell…

### Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state

- PhysicsPhysical Review A
- 2020

We consider the problem of $1$-sided device-independent self-testing of any pure entangled two-qubit state based on steering inequalities which certify the presence of quantum steering. In…

### Device-Independent Entanglement Certification of All Entangled States.

- Physics, Computer SciencePhysical review letters
- 2018

We present a method to certify the entanglement of all entangled quantum states in a device-independent way. This is achieved by placing the state in a quantum network and constructing a correlation…

### Self-testing of Pauli observables for device-independent entanglement certification

- Computer SciencePhysical Review A
- 2018

This work presents self-testing protocols to certify the presence of tensor products of Pauli measurements on maximally entangled states of local dimension for n and shows that this can be used for the device-independent certification of the entanglement of all bipartite entangled states.

### Robust Self Testing of Unknown Quantum Systems into Any Entangled Two-Qubit States

- Physics
- 2013

Self testing is a device independent approach to estimate the state and measurement operators, without the need to assume the dimension of our quantum system. In this paper, we show that one can self…

### Experimental investigation of partially entangled states for device-independent randomness generation and self-testing protocols

- PhysicsPhysical Review A
- 2019

Previous theoretical works showed that all pure two-qubit entangled states can generate one bit of local randomness and can be self-tested through the violation of proper Bell inequalities. We report…

### Robust and versatile black-box certification of quantum devices.

- Computer SciencePhysical review letters
- 2014

The versatility of the tool brings about self-testing of hitherto impossible cases, such as the robust self- testing of nonmaximally entangled two-qutrit states in the Collins-Gisin-Linden-Massar-Popescu scenario.

### Fine-grained Einstein-Podolsky-Rosen-steering inequalities

- Computer Science
- 2014

A new steering inequality based on a fine-grained uncertainty relation to capture EPR-steering for bipartite systems that can experimentally detect all steerable two-qubit Werner state with only two measurement settings on each side is derived.