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… 
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151 Citations
Highly Influential Citations
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Background Citations
51
Methods Citations
17

151 Citations

Self-Testing of a Single Quantum Device Under Computational Assumptions

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.

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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.

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

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.

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

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

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Statistical Methods for Quantum State Verification and Fidelity Estimation

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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