# Self-testing of quantum systems: a review

@article{upi2019SelftestingOQ, title={Self-testing of quantum systems: a review}, author={Ivan {\vS}upi{\'c} and Joseph Bowles}, journal={Quantum}, year={2019}, volume={4}, pages={337} }

Self-testing is a method to infer the underlying physics of a quantum experiment in a black box scenario. As such it represents the strongest form of certification for quantum systems. In recent years a considerable self-testing literature has developed, leading to progress in related device-independent quantum information protocols and deepening our understanding of quantum correlations. In this work we give a thorough and self-contained introduction and review of self-testing and its…

## 151 Citations

### Self-Testing of a Single Quantum Device Under Computational Assumptions

- Computer ScienceITCS
- 2021

This work constructs a protocol that allows a classical verifier to robustly certify that a single computationally bounded quantum device must have prepared a Bell pair and performed single-qubit measurements on it, up to a change of basis applied to both the device's state and measurements.

### Device-Independent Certification of Genuinely Entangled Subspaces.

- Computer Science, PhysicsPhysical review letters
- 2020

This work presents the first self-tests of an entangled subspace-the five-qubit code and the toric code and shows that all quantum states maximally violating a suitably chosen Bell inequality must belong to the corresponding code subspace, which remarkably includes also mixed states.

### Self-testing quantum states via nonmaximal violation in Hardy's test of nonlocality

- PhysicsPhysical Review A
- 2022

Self-testing protocols enable certiﬁcation of quantum devices without demanding full knowledge about their inner workings. A typical approach in designing such protocols is based on observing…

### Computational self-testing of multi-qubit states and measurements

- Computer Science
- 2022

A simplified version of this protocol is the first that can efficiently certify an arbitrary number of qubits of a cloud quantum computer, on which the authors cannot enforce spatial separation, using only classical communication.

### Certifying Quantum Signatures in Thermodynamics and Metrology via Contextuality of Quantum Linear Response.

- PhysicsPhysical review letters
- 2020

I identify a fundamental difference between classical and quantum dynamics in the linear response regime by showing that the latter is, in general, contextual. This allows me to provide an example of…

### Quantum networks self-test all entangled states

- History
- 2022

Certifying quantum properties with minimal assumptions is a fundamental problem in quantum information science. Self-testing is a method to infer the underlying physics of a quantum experiment only…

### Coarse-Grained Self-Testing.

- Computer SciencePhysical review letters
- 2021

This work proves that a many-body generalization of the chained Bell inequality is maximally violated if and only if the underlying quantum state is equal, up to local isometries, to aMany-body singlet.

### Computational self-testing for entangled magic states

- PhysicsIACR Cryptol. ePrint Arch.
- 2021

It is shown that a magic state for the CCZ gate can be self-tested while that for the T gate cannot, which is applicable to a proof of quantumness, where it can classically verify whether a quantum device generates a quantum state having non-zero magic.

### 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.…

### Statistical Methods for Quantum State Verification and Fidelity Estimation

- PhysicsAdvanced Quantum Technologies
- 2022

The efficient and reliable certification of quantum states is essential for various quantum information processing tasks as well as for the general progress on the implementation of quantum…

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