pith. sign in

arxiv: 2606.20396 · v1 · pith:TIFT37T7new · submitted 2026-06-18 · 🪐 quant-ph

Faking entanglement with imperceptible measurement deviations

Pith reviewed 2026-06-26 17:00 UTC · model grok-4.3

classification 🪐 quant-ph
keywords quantum entanglementmeasurement errorshigh-dimensional entanglemententanglement witnessesphotonic statesseparabilityquantum hacking
0
0 comments X

The pith

Arbitrarily small measurement errors can falsely certify high-dimensional entanglement in separable systems.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper establishes that by deliberately embedding tiny adversarial errors into the measurement apparatus, standard tests for high-dimensional entanglement can report a violation even when the physical state is fully separable. This is shown through explicit constructions of measurement hacks on entanglement witnesses, followed by an experiment that uses classical light in spatial modes to produce apparent entanglement up to 61 dimensions with fidelity errors of only 0.23 percent. A sympathetic reader would care because entanglement certification underpins many quantum technologies, so undetected measurement deviations could lead to incorrect claims about the presence of a key resource.

Core claim

Arbitrarily small measurement errors, when adversarially encoded in the measurement apparatus, can lead to the false certification of high-dimensional entanglement in systems that are, in fact, separable. This is achieved by introducing explicit hacking attacks to measurement devices in well-established entanglement verification tests and experimentally demonstrated using classical photonic states encoded in the spatial degree of freedom spanning up to 61 dimensions.

What carries the argument

Adversarially encoded measurement deviations applied to entanglement witness tests, which shift the observed statistics enough for separable states to exceed the separability bound.

Load-bearing premise

The photonic states remain strictly separable with the witness violation caused only by the introduced measurement deviation and no other hidden correlations or imperfections.

What would settle it

Repeating the spatial-mode experiment with the same introduced deviations but independently confirming that the measured statistics match the separable prediction exactly would show the claim does not hold.

read the original abstract

Quantum entanglement is a central resource underpinning emerging quantum technologies, enabling capabilities beyond those of classical systems. Accurate verification of entanglement is therefore crucial. However, experimental schemes usually rely on the assumption that quantum measurements can be realized exactly. As the complexity of a quantum system grows, this assumption typically becomes increasingly unrealistic, therefore leading to a widening mismatch between theoretical models and experimental implementations. Here we demonstrate that arbitrarily small measurement errors, when adversarially encoded in the measurement apparatus, can lead to the false certification of high-dimensional entanglement in systems that are, in fact, separable. This is achieved by introducing explicit hacking attacks to measurement devices in well-established entanglement verification tests. We further experimentally demonstrate this effect using classical photonic states encoded in the spatial degree of freedom, spanning up to 61 dimensions with measurement fidelity errors as low as 0.23%. Our results uncover a fundamental vulnerability in current methods for high-dimensional entanglement detection, highlighting the susceptibility of complex quantum devices to small adversarial perturbations. The findings underscore the need for developing secure verification of quantum information that is robust to bounded discrepancies between theory and experiment.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The paper claims that arbitrarily small adversarial deviations in measurement devices can produce false positives for high-dimensional entanglement witnesses even when the underlying state is separable. It supports this with an explicit attack construction on standard verification protocols and an experimental demonstration using classical photonic states encoded in up to 61 spatial modes, achieving apparent entanglement certification with measurement fidelity errors as low as 0.23%.

Significance. If the central construction holds, the result identifies a concrete and previously under-appreciated vulnerability in high-dimensional entanglement certification that scales with system size. The explicit, parameter-free attack and the direct experimental mapping from classical separable states to apparent quantum correlations constitute a clear, falsifiable demonstration that strengthens the practical relevance of the claim.

major comments (2)
  1. [Experimental demonstration] The experimental section provides no independent separability witness or tomography performed with the original (unhacked) measurement operators on the 61-mode classical states. Without such a control, residual partial coherence, diffraction, or cross-talk could itself produce the observed witness violation, undermining the attribution of the effect solely to the 0.23% adversarial deviation.
  2. [Experimental demonstration] The manuscript supplies no error bars, repeated trials, or exclusion criteria for the classical-light data. This omission is load-bearing for the claim that the violation is produced exclusively by the introduced measurement hack rather than by uncontrolled experimental imperfections.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments. Below we respond point-by-point to the major comments on the experimental demonstration.

read point-by-point responses
  1. Referee: The experimental section provides no independent separability witness or tomography performed with the original (unhacked) measurement operators on the 61-mode classical states. Without such a control, residual partial coherence, diffraction, or cross-talk could itself produce the observed witness violation, undermining the attribution of the effect solely to the 0.23% adversarial deviation.

    Authors: We agree that an explicit control with the original measurement operators would strengthen attribution. Although the states are classical photonic fields (provably separable by classical electromagnetism), we will add in revision the witness values obtained on the same 61-mode states using the unhacked operators, confirming no violation occurs. This control will be included as supplementary data or an additional panel. revision: yes

  2. Referee: The manuscript supplies no error bars, repeated trials, or exclusion criteria for the classical-light data. This omission is load-bearing for the claim that the violation is produced exclusively by the introduced measurement hack rather than by uncontrolled experimental imperfections.

    Authors: We accept this criticism. The revised manuscript will report error bars on all witness values, specify the number of repeated trials performed for each dimension, and detail the data exclusion criteria applied. These additions will be placed in the experimental methods and results sections. revision: yes

Circularity Check

0 steps flagged

No significant circularity; explicit attack construction and experimental demo are self-contained

full rationale

The paper constructs explicit adversarial measurement deviations and demonstrates their effect on witness violation using classical photonic states claimed to be separable. No equation or result is defined in terms of a fitted parameter that is then relabeled as a prediction, no self-citation chain bears the central claim, and no ansatz or uniqueness theorem is smuggled in. The derivation chain consists of direct construction plus laboratory realization rather than reduction to its own inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the domain assumption that classical photonic states are separable and that the only deviation from ideal measurements is the adversarially chosen error; no free parameters are introduced beyond the reported experimental fidelity value.

axioms (1)
  • domain assumption Classical light in the spatial degree of freedom is separable and cannot exhibit quantum entanglement.
    Invoked to guarantee that any apparent entanglement signal must originate from the measurement deviation rather than the input state.

pith-pipeline@v0.9.1-grok · 5737 in / 1244 out tokens · 25670 ms · 2026-06-26T17:00:14.856079+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

42 extracted references · 25 canonical work pages

  1. [1]

    Entanglement detection

    G¨ uhne O, T´ oth G. Entanglement detection. Physics Reports. 2009 Apr;474(1–6):1–75. https://doi.org/10.1016/j.physrep.2009.02.004

  2. [2]

    Entanglement certification from theory to experiment

    Friis N, Vitagliano G, Malik M, Huber M. Entanglement certification from theory to experiment. Nature Reviews Physics. 2019 Jan;1(1):72–87. https://doi.org/ 10.1038/s42254-018-0003-5

  3. [3]

    Advances in high-dimensional quantum entan- glement

    Erhard M, Krenn M, Zeilinger A. Advances in high-dimensional quantum entan- glement. Nature Reviews Physics. 2020 Jul;2(7):365–381. https://doi.org/10. 1038/s42254-020-0193-5

  4. [4]

    High-dimensional pixel entanglement: efficient generation and certification

    Valencia NH, Srivastav V, Pivoluska M, Huber M, Friis N, McCutcheon W, et al. High-dimensional pixel entanglement: efficient generation and certification. Quan- tum. 2020;4:376. https://doi.org/https://doi.org/10.22331/q-2020-12-24-376

  5. [5]

    Entanglement-based quantum information technology: a tutorial

    Zhang Z, You C, Maga˜ na-Loaiza OS, Fickler R, Le´ on-Montiel RdJ, Torres JP, et al. Entanglement-based quantum information technology: a tutorial. Advances in Optics and Photonics. 2024;16(1):60–162. https://doi.org/10.1364/ AOP.497143

  6. [6]

    Available from: https://arxiv.org/ abs/2604.06528

    Malik M, Kues M, Ikuta T, Takesue H, Bajoni D, Moss DJ, et al.: High- Dimensional Quantum Photonics: Roadmap. Available from: https://arxiv.org/ abs/2604.06528

  7. [7]

    High-Dimensional Quantum Communication: Benefits, Progress, and Future Challenges

    Cozzolino D, Da Lio B, Bacco D, Oxenløwe LK. High-Dimensional Quantum Communication: Benefits, Progress, and Future Challenges. Advanced Quantum Technologies. 2019;2(12):1900038. https://doi.org/https://doi.org/10.1002/qute. 201900038

  8. [8]

    Available from: https://arxiv.org/abs/2603.18212

    Chang KC, Sarihan MC, Li NKH, Kanitschar F, Akyuz KE, Chen Y, et al.: High-dimensional quantum communication with scalable photonic entanglement in time and frequency. Available from: https://arxiv.org/abs/2603.18212

  9. [9]

    High-dimensional one-way quantum processing implemented on d-level clus- ter states

    Reimer C, Sciara S, Roztocki P, Islam M, Romero Cort´ es L, Zhang Y, et al. High-dimensional one-way quantum processing implemented on d-level clus- ter states. Nature Physics. 2019 Feb;15(2):148–153. https://doi.org/10.1038/ s41567-018-0347-x

  10. [10]

    A universal qudit quantum processor with trapped ions

    Ringbauer M, Meth M, Postler L, Stricker R, Blatt R, Schindler P, et al. A universal qudit quantum processor with trapped ions. Nature Physics. 2022 Sep;18(9):1053–1057. https://doi.org/10.1038/s41567-022-01658-0

  11. [11]

    Multichip multidimensional quantum networks with entanglement retrievability

    Zheng Y, Zhai C, Liu D, Mao J, Chen X, Dai T, et al. Multichip multidimensional quantum networks with entanglement retrievability. Science. 2023;381(6654):221–

  12. [12]

    https://doi.org/10.1126/science.adg9210. 51

  13. [13]

    A large-scale reconfigurable multiplexed quantum photonic network

    Valencia NH, Ma A, Goel S, Leedumrongwatthanakun S, Graffitti F, Fedrizzi A, et al. A large-scale reconfigurable multiplexed quantum photonic network. Nature Photonics. 2026;20:202–207. https://doi.org/https://doi.org/10.1038/ s41566-025-01806-x

  14. [14]

    Security of Quantum Key Dis- tribution Usingd-Level Systems

    Cerf NJ, Bourennane M, Karlsson A, Gisin N. Security of Quantum Key Dis- tribution Usingd-Level Systems. Physical Review Letters. 2002 Mar;88:127902. https://doi.org/10.1103/PhysRevLett.88.127902

  15. [15]

    Overcoming Noise in Entanglement Distribution

    Ecker S, Bouchard F, Bulla L, Brandt F, Kohout O, Steinlechner F, et al. Overcoming Noise in Entanglement Distribution. Physical Review X. 2019 Nov;9:041042. https://doi.org/10.1103/PhysRevX.9.041042

  16. [16]

    Sim- ulating two-dimensional lattice gauge theories on a qudit quantum computer

    Meth M, Zhang J, Haase JF, Edmunds C, Postler L, Jena AJ, et al. Sim- ulating two-dimensional lattice gauge theories on a qudit quantum computer. Nature Physics. 2025;21(4):570–576. https://doi.org/https://doi.org/10.1038/ s41567-025-02797-w

  17. [17]

    Quick Quantum Steering: Overcoming Loss and Noise with Qudits

    Srivastav V, Valencia NH, McCutcheon W, Leedumrongwatthanakun S, Desig- nolle S, Uola R, et al. Quick Quantum Steering: Overcoming Loss and Noise with Qudits. Physical Review X. 2022 Nov;12:041023. https://doi.org/10.1103/ PhysRevX.12.041023

  18. [18]

    Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities

    Dada AC, Leach J, Buller GS, Padgett MJ, Andersson E. Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities. Nature Physics. 2011 Sep;7(9):677–680. https://doi.org/10.1038/ nphys1996

  19. [19]

    Bell nonlocality

    Brunner N, Cavalcanti D, Pironio S, Scarani V, Wehner S. Bell nonlocality. Rev Mod Phys. 2014 Apr;86:419–478. https://doi.org/10.1103/RevModPhys.86.419

  20. [20]

    Imperfect mea- surement settings: Implications for quantum state tomography and entanglement witnesses

    Rosset D, Ferretti-Sch¨ obitz R, Bancal JD, Gisin N, Liang YC. Imperfect mea- surement settings: Implications for quantum state tomography and entanglement witnesses. Physical Review A. 2012 Dec;86(6). https://doi.org/10.1103/physreva. 86.062325

  21. [21]

    Genuine Mul- tipartite Entanglement Detection with Imperfect Measurements: Concept and Experiment

    Cao H, Morelli S, Rozema LA, Zhang C, Tavakoli A, Walther P. Genuine Mul- tipartite Entanglement Detection with Imperfect Measurements: Concept and Experiment. Physical Review Letters. 2024 Oct;133(15). https://doi.org/10. 1103/physrevlett.133.150201

  22. [22]

    Entanglement Detection with Imprecise Measurements

    Morelli S, Yamasaki H, Huber M, Tavakoli A. Entanglement Detection with Imprecise Measurements. Physical Review Letters. 2022 Jun;128(25). https: //doi.org/10.1103/physrevlett.128.250501

  23. [23]

    Entanglement detection via mutually unbiased bases

    Spengler C, Huber M, Brierley S, Adaktylos T, Hiesmayr BC. Entanglement detection via mutually unbiased bases. Physical Review A. 2012 Aug;86:022311. 52 https://doi.org/10.1103/PhysRevA.86.022311

  24. [24]

    Schmidt number for density matrices

    Terhal BM, Horodecki P. Schmidt number for density matrices. Physical Review A. 2000 Mar;61(4). https://doi.org/10.1103/physreva.61.040301

  25. [25]

    Schmidt-number witnesses and bound entan- glement

    Sanpera A, Bruß D, Lewenstein M. Schmidt-number witnesses and bound entan- glement. Physical Review A. 2001 Apr;63:050301. https://doi.org/10.1103/ PhysRevA.63.050301

  26. [26]

    Entanglement witnesses: construction, analysis and classification

    Chru´ sci´ nski D, Sarbicki G. Entanglement witnesses: construction, analysis and classification. Journal of Physics A: Mathematical and Theoretical. 2014 Nov;47(48):483001. https://doi.org/10.1088/1751-8113/47/48/483001

  27. [27]

    Measurements in two bases are sufficient for certifying high-dimensional entan- glement

    Bavaresco J, Herrera Valencia N, Kl¨ ockl C, Pivoluska M, Erker P, Friis N, et al. Measurements in two bases are sufficient for certifying high-dimensional entan- glement. Nature Physics. 2018 Oct;14(10):1032–1037. https://doi.org/10.1038/ s41567-018-0203-z

  28. [28]

    Optimal state-determination by mutually unbiased measurements

    Wootters WK, Fields BD. Optimal state-determination by mutually unbiased measurements. Annals of Physics. 1989;191(2):363–381. https://doi.org/https: //doi.org/10.1016/0003-4916(89)90322-9

  29. [29]

    Resource-Efficient High-Dimensional Entan- glement Detection via Symmetric Projections

    Morelli S, Huber M, Tavakoli A. Resource-Efficient High-Dimensional Entan- glement Detection via Symmetric Projections. Physical Review Letters. 2023 Oct;131(17). https://doi.org/10.1103/physrevlett.131.170201

  30. [30]

    Exact solution to simulta- neous intensity and phase encryption with a single phase-only hologram

    Bolduc E, Bent N, Santamato E, Karimi E, Boyd RW. Exact solution to simulta- neous intensity and phase encryption with a single phase-only hologram. Optics Letters. 2013 Sep;38(18):3546–3549. https://doi.org/10.1364/OL.38.003546

  31. [31]

    Measuring azimuthal and radial modes of photons

    Bouchard F, Valencia N, Brandt F, Fickler R, Huber M, Malik M. Measuring azimuthal and radial modes of photons. Optics Express. 2018 11;26:31925–31941. https://doi.org/10.1364/OE.26.031925

  32. [32]

    Binarization of multioutcome measurements in high-dimensional quantum correlation experiments

    Tavakoli A, Uola R, Pauwels J. Binarization of multioutcome measurements in high-dimensional quantum correlation experiments. Physical Review A. 2025 Apr;111(4). https://doi.org/10.1103/physreva.111.042433

  33. [33]

    Advances in device-independent quantum key distribution

    Zapatero V, van Leent T, Arnon-Friedman R, Liu WZ, Zhang Q, Weinfurter H, et al. Advances in device-independent quantum key distribution. npj Quantum Information. 2023;9(1):10. https://doi.org/https://doi.org/10.1038/ s41534-023-00684-x

  34. [34]

    Security proof for quantum key distribution using qudit systems

    Sheridan L, Scarani V. Security proof for quantum key distribution using qudit systems. Physical Review A. 2010 Sep;82:030301. https://doi.org/10.1103/ PhysRevA.82.030301. 53

  35. [35]

    Quantum Steering with Imprecise Measurements

    Tavakoli A. Quantum Steering with Imprecise Measurements. Physical Review Letters. 2024 Feb;132(7). https://doi.org/10.1103/physrevlett.132.070204

  36. [36]

    Semidefinite program- ming relaxations for quantum correlations

    Tavakoli A, Pozas-Kerstjens A, Brown P, Ara´ ujo M. Semidefinite program- ming relaxations for quantum correlations. Reviews of Modern Physics. 2024 Dec;96:045006. https://doi.org/10.1103/RevModPhys.96.045006

  37. [37]

    Progress in quantum structured light

    Forbes A, Nothlawala F, Vall´ es A. Progress in quantum structured light. Nature Photonics. 2025 Dec;19(12):1291–1300. https://doi.org/10.1038/ s41566-025-01795-x

  38. [38]

    Adaptive optics in microscopy

    Booth MJ. Adaptive optics in microscopy. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineer- ing Sciences. 2007 09;365(1861):2829–2843. https://doi.org/10. 1098/rsta.2007.0013. https://royalsocietypublishing.org/rsta/article- pdf/365/1861/2829/306767/rsta.2007.0013.pdf

  39. [39]

    Her- alded high-dimensional photon–photon quantum gate

    Liu ZF, Ren ZC, Wan P, Zhu WZ, Cheng ZM, Wang J, et al. Her- alded high-dimensional photon–photon quantum gate. Nature Photonics. 2026 Apr;20(4):460–467. https://doi.org/10.1038/s41566-026-01846-x

  40. [40]

    Advancements in super- conducting quantum computing

    Jiang YY, Deng C, Fan H, Li BY, Sun L, Tan XS, et al. Advancements in super- conducting quantum computing. National Science Review. 2025 08;12(8):nwaf246. https://doi.org/10.1093/nsr/nwaf246. https://academic.oup.com/nsr/article- pdf/12/8/nwaf246/63509341/nwaf246.pdf

  41. [41]

    High- fidelity parallel entangling gates on a neutral-atom quantum computer

    Evered SJ, Bluvstein D, Kalinowski M, Ebadi S, Manovitz T, Zhou H, et al. High- fidelity parallel entangling gates on a neutral-atom quantum computer. Nature. 2023 Oct;622(7982):268–272. https://doi.org/10.1038/s41586-023-06481-y

  42. [42]

    Prescription for experimental determination of the dynamics of a quantum black box

    Chuang IL, Nielsen MA. Prescription for experimental determination of the dynamics of a quantum black box. Journal of Modern Optics. 1997;44(11- 12):2455–2467. https://doi.org/10.1080/09500349708231894. 54