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

@inproceedings{Shrotriya2021RobustSC,
  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={2021}
}
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… 

Figures and Tables from this paper

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

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

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

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.

References

SHOWING 1-10 OF 72 REFERENCES

All pure bipartite entangled states can be self-tested

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

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

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

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.

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

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

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

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.

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.

Quantum steering: a review with focus on semidefinite programming

This review gives an overview of how to characterise quantum steering through semidefinite programming, which provides efficient numerical methods to address a number of problems, including steering detection, quantification, and applications.
...