Self-testing of quantum systems: a review

  title={Self-testing of quantum systems: a review},
  author={Ivan {\vS}upi{\'c} and Joseph Bowles},
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… 

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.

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

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

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

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

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



Self-testing quantum states and measurements in the prepare-and-measure scenario

Self-testing methods for quantum prepare-and-measure experiments, thus not necessarily relying on entanglement and/or violation of a Bell inequality are developed, assuming an upper bound on the Hilbert space dimension.

Self-Testing Entangled Measurements in Quantum Networks.

A robust self-test for the Bell-state measurement is derived, tolerating noise levels up to ∼5% and generalizations to other entangled measurements are discussed.

Self-testing of Quantum Circuits

We prove that a quantum circuit together with measurement apparatuses and EPR sources can be self-tested, i.e. fully verified without any reference to some trusted set of quantum devices. To

Robust Self-Testing of Quantum Systems via Noncontextuality Inequalities.

A novel scheme to self-test local quantum systems using noncontextuality inequalities and the celebrated Klyachko-Can-Binicioğlu-Shumovsky inequality and its generalization to contextuality scenarios with odd n-cycle compatibility relations admit robust self-testing are provided.

Self-testing using only marginal information

The partial states of a multipartite quantum state may carry a lot of information: in some cases, they determine the global state uniquely. This result is known for tomographic information, that is

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

Robust self testing of the 3-qubit W state

Self-testing is a device independent method which can be used to determine the nature of a physical system or device, without knowing any detail of the inner mechanism or the physical dimension of

Device-independent tomography of multipartite quantum states

A method to self-test multipartite quantum states is constructed and shows that it is possible to characterize quantum states based only on observed statistics and without knowing any detail of the

Generalized Self-testing and the Security of the 6-State Protocol

It is shown that one can still do a meaningful self-test of quantum apparatus with complex amplitudes, and a family of simulations of quantum experiments, based on complex conjugation, is defined, with two interesting properties.

Self-testing in parallel with CHSH

The parallel self-testing framework is extended to build parallel CHSH self-tests for any number of pairs of maximally entangled qubits, and achieves an error bound which is polynomial in the number of tested qubit pairs.