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

@article{Bowles2018SelftestingOP, title={Self-testing of Pauli observables for device-independent entanglement certification}, author={Joseph Bowles and Ivan vSupi'c and Daniel Cavalcanti and Antonio Ac'in}, journal={Physical Review A}, year={2018} }

We present self-testing protocols to certify the presence of tensor products of Pauli measurements on maximally entangled states of local dimension $2^n$ for $n\in\mathbb{N}$. This provides self-tests of sets of informationally complete measurements in arbitrarily high dimension. We then show that this can be used for the device-independent certification of the entanglement of all bipartite entangled states by exploiting a connection to measurement device-independent entanglement witnesses and…

## 23 Citations

### 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…

### Device-independent certification of tensor products of quantum states using single-copy self-testing protocols

- Computer ScienceQuantum
- 2021

It is proved that self-testing protocols that certify a state and rank-one measurements can always be parallelized to certify many copies of the state, suggesting a method to achieve device-independent unbounded randomness expansion with high-dimensional quantum states.

### Robust self-testing of steerable quantum assemblages and its applications on device-independent quantum certification

- PhysicsQuantum
- 2021

This work considers assemblages violating several paradigmatic Bell inequalities and obtains the robust self-testing statement for each scenario, and is device-independent (DI), i.e., no assumption is made on the shared state and the measurement devices involved.

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

- Computer Science
- 2021

The notion of Assemblage based robust state certification is used to provide robustness bounds for the certification result in the case of pure maximally entangled states of any local dimension.

### Device-independent verification of Einstein-Podolsky-Rosen steering

- Computer Science
- 2021

A much less-demanding protocol based on Einstein-Podolsky-Rosen (EPR) steering to certify entanglement is proposed and its robustness towards noise and imperfections of self-testing is analyzed.

### Device-Independent Detection of Genuine Multipartite Entanglement for All Pure States.

- PhysicsPhysical review letters
- 2019

We show that genuine multipartite entanglement of all multipartite pure states in arbitrary finite dimension can be detected in a device-independent way by employing bipartite Bell inequalities on…

### Scalable Bell Inequalities for Qubit Graph States and Robust Self-Testing.

- Computer SciencePhysical review letters
- 2020

A general construction of Bell inequalities that are maximally violated by the multiqubit graph states and can be used for their robust self-testing, and numerical results indicate that the self- testing statements for graph states derived from the inequalities tolerate noise levels that are met by present experimental data.

### 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.

### Oblivious communication game, self-testing of projective and nonprojective measurements, and certification of randomness

- Computer SciencePhysical Review A
- 2021

It is found that the aforementioned Bell expression has two upper bounds in an ontological model; the usual local bound and a non-trivial preparation non-contextual bound arising from the non-Tournament parityoblivious condition, which is smaller that the local bound.

### Constant-sized robust self-tests for states and measurements of unbounded dimension

- Mathematics
- 2021

We consider correlations, ?=,G , arising from measuring a maximally entangled state using = measurements with two outcomes each, constructed from = projections that add up to G . We show that the…

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