# 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…

## 20 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.

### 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.

### 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…

### Self-testing maximally-dimensional genuinely entangled subspaces within the stabilizer formalism

- MathematicsNew Journal of Physics
- 2021

The main aim of this work is to address the question how ‘large’ (in terms of dimension) are genuinely entangled subspaces that can be self-tested, concentrating on the multiqubit stabilizer formalism.

### Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments

- PhysicsScience Advances
- 2021

The first example of an extremal point of the quantum set of correlations that admits physically inequivalent quantum realizations is presented, and the results elaborately demonstrate the foundational and practical relevance of the two most important discrete Hilbert space structures to the field of quantum nonlocality.

## References

SHOWING 1-10 OF 29 REFERENCES

### 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.

### 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 protocols based on the chained Bell inequalities

- Mathematics
- 2015

Self-testing is a device-independent technique based on non-local correlations whose aim is to certify the effective uniqueness of the quantum state and measurements needed to produce these…

### Maximal nonlocality from maximal entanglement and mutually unbiased bases, and self-testing of two-qutrit quantum systems

- Computer ScienceQuantum
- 2019

This work proposes a novel family of Bell inequalities which exhibit precisely these properties, and whose maximal quantum violation can be computed analytically, and shows that in the three-outcome case their Bell inequality can be used to self-test the maximally entangled state of two-qutrits and three mutually unbiased bases at each site.

### Maximal randomness from partially entangled states

- Physics
- 2019

Entangled quantum systems can be used to violate Bell inequalities. According to Bell's theorem, whenever we see a Bell violation we can be sure that the measurement outcomes are not the result of an…

### Maximally Non-Local and Monogamous Quantum Correlations

- PhysicsPhysical review letters
- 2006

We introduce a version of the chained Bell inequality for an arbitrary number of measurement outcomes and use it to give a simple proof that the maximally entangled state of two d-dimensional quantum…

### 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…

### Device-independent parallel self-testing of two singlets

- Computer Science
- 2016

It is demonstrated that the magic square game can only be perfectly won by measuring a two-singlet state and the tolerance to noise is well within reach of state-of-the-art experiments.

### Classical command of quantum systems

- Physics, Computer ScienceNature
- 2013

A scheme is described that can be used to determine the initial state and to classically command the system to evolve according to desired dynamics, and makes it possible to test whether a claimed quantum computer is truly quantum.

### Random numbers certified by Bell’s theorem

- Computer ScienceNature
- 2010

It is shown that the non-local correlations of entangled quantum particles can be used to certify the presence of genuine randomness, and it is thereby possible to design a cryptographically secure random number generator that does not require any assumption about the internal working of the device.