# Self-testing quantum systems of arbitrary local dimension with minimal number of measurements

@article{Sarkar2021SelftestingQS, title={Self-testing quantum systems of arbitrary local dimension with minimal number of measurements}, author={Shubhayan Sarkar and Debashis Saha and J. Kaniewski and Remigiusz Augusiak}, journal={npj Quantum Information}, year={2021}, volume={7}, pages={1-5} }

Bell nonlocality as a resource for device-independent certification schemes has been studied extensively in recent years. The strongest form of device-independent certification is referred to as self-testing, which given a device, certifies the promised quantum state as well as quantum measurements performed on it without any knowledge of the internal workings of the device. In spite of various results on self-testing protocols, it remains a highly nontrivial problem to propose a certification…

## 22 Citations

### 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.

### Self-testing of multipartite Greenberger-Horne-Zeilinger states of arbitrary local dimension with arbitrary number of measurements per party

- Computer SciencePhysical Review A
- 2022

This work provides the first self-testing scheme for the multipartite Greenberger–Horne–Zeilinger (GHZ) states of arbitrary local dimension that does not rely on self- testing results for qubit states and that exploits the minimal number of two measurements per party.

### 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.

### Robust self-testing of multipartite GHZ-state measurements in quantum networks

- Physics
- 2021

Self-testing is a device-independent examination of quantum devices based on correlations of observed statistics. Motivated by elegant progresses on selftesting strategies for measurements [Phys.…

### Device-Independent Certification of Maximal Randomness from Pure Entangled Two-Qutrit States Using Non-Projective Measurements

- Computer ScienceEntropy
- 2022

A method for device-independent certification of the maximal possible amount of 2log23 random bits using pure bipartite entangled two-qutrit states and extremal nine-outcome general non-projective measurements is introduced.

### Certification of incompatible measurements using quantum steering

- Computer ScienceQuantum Information and Measurement VI 2021
- 2021

A simple scheme for certifying any set of d -outcome projective measurements which do not share any common invariant proper subspace, termed here genuinely incompatible, and the maximally entangled state of two qudits is proposed.

### Practical Parallel Self-testing of Bell States via Magic Rectangles

- MathematicsPhysical Review A
- 2022

This work uses the 3 × n magic rectangle games to obtain a self-test for n Bell states where the one side needs only to measure single-qubit Pauli observables, and introduces a one-side-local quantum strategy for the magic square game that wins with certainty.

### Graph-Theoretic Framework for Self-Testing in Bell Scenarios

- Mathematics
- 2021

Quantum self-testing is the task of certifying quantum states and measurements using the output statistics solely, with minimal assumptions about the underlying quantum system. It is based on the…

### Experimental self-testing for photonic graph states.

- Computer Science, PhysicsOptics express
- 2022

This work experimentally demonstrated device-independent certification for multipartite graph states by adopting the robust self-testing scheme based on scalable Bell inequalities, and paves the way to the device- independent certification of complex multipartites quantum states.

### 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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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.

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