Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)

Quantum Randomness Certification Through Three-state Discrimination

Lucas Nunes Faria, Carles Roch i Carceller, Zhenghao Liu, Ulrik L. Andersen, Jonas Schou Neergaard-Nielsen, Jonatan Bohr Brask

Published Jun 26, 2023• 0 citations
Publisher

Abstract

Consider a device which, on each round, prepares one pure quantum state out of three possible ones. The overlaps between the possible states are$\vert \langle\psi_{0}\vert \psi_{1}\rangle\vert \geq\delta, \vert \langle\psi_{0}\vert \psi_{2}\rangle\vert \geq\Delta_{02}$and$\vert \langle\psi_{1}\vert \psi_{2}\rangle\vert \geq\Delta_{12}$. A measurement will be performed on each round. Our goal is to certify the amount of randomness that can be extracted from the measurement.

DOI
10.1109/cleo/europe-eqec57999.2023.10231932

Related papers

Measurement-device-independent entanglement and randomness estimation in quantum networks

Ivan Šupić, Paul Skrzypczyk, Daniel Cavalcanti

Detection of entanglement in quantum networks consisting of many parties is one of the important steps toward building quantum communication and computation networks. We consider a scenario where the measurement devices used for this certification are uncharacterized. In this case, it is well known that by using quantum states as inputs for the measurement devices it is possible to detect any entangled state (a situation known as measurement-device-independent entanglement witnessing). Here we go beyond entanglement detection and provide methods to estimate the amount of entanglement in a quantum network. We also consider the task of randomness certification and show that randomness can be certified in a variety of cases, including single-partite experiments or setups using only separable states.

arXiv:1702.04752•Physical Review A•Apr 26, 2017•42 citations

Genuine certifiable randomness from a black-box

Liam P. McGuinness

Randomness is intrinsic to quantum mechanics; the outcome of a measurement on a quantum state is a random variable. This feature has been applied to randomness certification, where one party must decide whether the data they receive is truly random. However, existing demonstrations are not black-box, to avoid falsely certifying deterministic data, assumptions must be made on how the data was generated. Here we demonstrate genuine randomness certification in the black-box setting -- one in which no deterministic adversary, even with unlimited computational power, will succeed in getting their data certified. We use it to provably generate random numbers using only measurements on single particle states and without a random seed.

quant-pharXiv:2603.00401•Mar 3, 2026•0 citations

Semi-Device-Independent Certification of Independent Quantum State and Measurement Devices

Armin Tavakoli

Certifying that quantum devices behave as intended is crucial for quantum information science. Here, methods are developed for certification of both state preparation devices and measurement devices based on prepare-and-measure experiments with independent devices. The experimenter assumes the independence of the devices and knowledge of the Hilbert space dimension. Thus no precise characterization of any part of the experiment is required. The certification is based on a randomized version of unambiguous state discrimination and targets the class of state ensembles corresponding to quantum t designs of any size and any dimension. These quantum designs are sets of states over which the average of any t-degree polynomial equals its average over all pure states, and they accommodate many of the most useful discrete structures in quantum information processing. Furthermore, it is shown that the same experiments also certify the detection efficiency of the measurement devices, as well as their nonprojective nature. The presented methods can readily be implemented in experiments.

arXiv:2003.03859•Physical Review Letters•Oct 6, 2020•26 citations

Unbounded randomness certification using sequences of measurements

Florian J. Curchod, Markus Johansson, Remigiusz Augusiak +3 more

A scheme for certifying an unbounded amount of random bits from a single pair of entangled qubits is proposed in the scenario where one of the qubits is subjected to a sequence of nonprojective measurements, which supersedes the limit of the finite amount of randomness that can be certified in a traditional two-party, single-measurement Bell scenario.

arXiv:1510.03394•Physical Review A•Feb 17, 2017•146 citations

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

Jakub J. Borkała, Chellasamy Jebarathinam, Shubhayan Sarkar +1 more

While it has recently been demonstrated how to certify the maximal amount of randomness from any pure two-qubit entangled state in a device-independent way, the problem of optimal randomness certification from entangled states of higher local dimension remains open. Here we introduce 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. To this aim, we exploit a device-independent method for certification of the full Weyl-Heisenberg basis in three-dimensional Hilbert spaces together with a one-sided device-independent method for certification of two-qutrit partially entangled states.

arXiv:2201.08649•Entropy•Feb 28, 2022•14 citations

Certified Quantum Randomness

Stefano Pironio

I explain how the non-local correlations of entangled states can be used to design conceptually new random number generators whose randomness can be certified without any detailed assumptions about their internal working.

Conference on Lasers and Electro-Optics•Jan 1, 2012•2 citations
Consider a device which, on each round, prepares one pure quantum state out of three possible ones. The overlaps between the possible states are∣⟨ψ0∣ψ1⟩∣≥δ,∣⟨ψ0∣ψ2⟩∣≥Δ02\vert \langle\psi_{0}\vert \psi_{1}\rangle\vert \geq\delta, \vert \langle\psi_{0}\vert \psi_{2}\rangle\vert \geq\Delta_{02}∣⟨ψ0​∣ψ1​⟩∣≥δ,∣⟨ψ0​∣ψ2​⟩∣≥Δ02​and∣⟨ψ1∣ψ2⟩∣≥Δ12\vert \langle\psi_{1}\vert \psi_{2}\rangle\vert \geq\Delta_{12}∣⟨ψ1​∣ψ2​⟩∣≥Δ12​. A measurement will be performed on each round. Our goal is to certify the amount of randomness that can be extracted from the measurement.
Detection of entanglement in quantum networks consisting of many parties is one of the important steps toward building quantum communication and computation networks. We consider a scenario where the measurement devices used for this certification are uncharacterized. In this case, it is well known that by using quantum states as inputs for the measurement devices it is possible to detect any entangled state (a situation known as measurement-device-independent entanglement witnessing). Here we go beyond entanglement detection and provide methods to estimate the amount of entanglement in a quantum network. We also consider the task of randomness certification and show that randomness can be certified in a variety of cases, including single-partite experiments or setups using only separable states.
Randomness is intrinsic to quantum mechanics; the outcome of a measurement on a quantum state is a random variable. This feature has been applied to randomness certification, where one party must decide whether the data they receive is truly random. However, existing demonstrations are not black-box, to avoid falsely certifying deterministic data, assumptions must be made on how the data was generated. Here we demonstrate genuine randomness certification in the black-box setting -- one in which no deterministic adversary, even with unlimited computational power, will succeed in getting their data certified. We use it to provably generate random numbers using only measurements on single particle states and without a random seed.
Certifying that quantum devices behave as intended is crucial for quantum information science. Here, methods are developed for certification of both state preparation devices and measurement devices based on prepare-and-measure experiments with independent devices. The experimenter assumes the independence of the devices and knowledge of the Hilbert space dimension. Thus no precise characterization of any part of the experiment is required. The certification is based on a randomized version of unambiguous state discrimination and targets the class of state ensembles corresponding to quantum t designs of any size and any dimension. These quantum designs are sets of states over which the average of any t-degree polynomial equals its average over all pure states, and they accommodate many of the most useful discrete structures in quantum information processing. Furthermore, it is shown that the same experiments also certify the detection efficiency of the measurement devices, as well as their nonprojective nature. The presented methods can readily be implemented in experiments.
While it has recently been demonstrated how to certify the maximal amount of randomness from any pure two-qubit entangled state in a device-independent way, the problem of optimal randomness certification from entangled states of higher local dimension remains open. Here we introduce 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. To this aim, we exploit a device-independent method for certification of the full Weyl-Heisenberg basis in three-dimensional Hilbert spaces together with a one-sided device-independent method for certification of two-qutrit partially entangled states.