pith. sign in

arxiv: 2606.12363 · v1 · pith:XIH4QD63new · submitted 2026-06-10 · 🪐 quant-ph

Fermions are fundamentally more nonlocal than Bosons

Fatemeh Moradi Kalarde , Sadra Boreiri , Xiangling Xu , Lucas Tendick , Salman Beigi , Paolo Perinotti , Tommaso Guaita , Marc-Olivier Renou This is my paper

Pith reviewed 2026-06-27 09:39 UTC · model grok-4.3

classification 🪐 quant-ph
keywords fermionsbosonsquantum nonlocalityindistinguishabilityquantum networksexchange statisticsdistributed computingfebits
0
0 comments X

The pith

Indistinguishable fermions generate network correlations that bosons and distinguishable particles cannot reproduce without extra communication.

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

The paper proves that fermions possess a form of nonlocality stronger than that of bosons within quantum theory. Fermions transmitted through a quantum network produce specific correlations that require additional communication to be matched by bosons or distinguishable particles. This establishes fermionic statistics as an operational resource that cannot be simulated by other quantum particles. A reader would care because the result shows that particle type directly affects what distributed quantum tasks are possible, extending beyond standard qubit models.

Core claim

Indistinguishable fermions transmitted through a quantum network can generate correlations that distinguishable particles or indistinguishable bosons cannot reproduce without additional communication. In the same sense, fermions are fundamentally more nonlocal than bosons or distinguishable particles, motivating fermionic anticommutation and indistinguishability as unavoidable operational resources. The result further implies that fermions can strictly surpass all qubit-based protocols for certain distributed computing tasks, demonstrating that a complete understanding of information processing requires going beyond qubits to fermionic information carriers.

What carries the argument

Fermionic exchange statistics and indistinguishability, which directly constrain the set of allowed correlations in a quantum network.

If this is right

  • Fermions can strictly surpass all qubit-based protocols for certain distributed computing tasks.
  • Fermionic anticommutation and indistinguishability function as necessary operational resources in quantum networks.
  • Information processing tasks must account for fermionic carriers in addition to qubit-based descriptions.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The hierarchy could be tested by constructing small quantum networks that implement the separation and measure the correlation gap directly.
  • Similar distinctions might appear when comparing other particle statistics or when particles are partially distinguishable.
  • The result suggests that network protocols could be redesigned to exploit fermionic statistics for tasks where bosons fall short.

Load-bearing premise

The network model assumes that indistinguishability and exchange statistics alone restrict correlations, with no hidden classical or quantum communication permitted between the particles.

What would settle it

An explicit protocol or calculation showing that bosons or distinguishable particles can produce the same set of correlations as the fermions in the specific network and measurement settings, without any added communication, would falsify the separation.

Figures

Figures reproduced from arXiv: 2606.12363 by Fatemeh Moradi Kalarde, Lucas Tendick, Marc-Olivier Renou, Paolo Perinotti, Sadra Boreiri, Salman Beigi, Tommaso Guaita, Xiangling Xu.

Figure 1
Figure 1. Figure 1: Cyclic exchange and fermionic phase. (a) N parties A1, . . . , AN initially hold one particle (represented by the black disk) each, in a global state |ψ0⟩ = a † 1 · · · a † N |vac⟩. a † i denotes the bosonic or fermionic creation operator of particle at mode i, depending on the particle type. (b) After a clockwise cyclic shift of the particles, the state becomes |ψ1⟩ = a † N a † 1 · · · a † N−1 |vac⟩ = χ N… view at source ↗
Figure 2
Figure 2. Figure 2: Distributed rewiring game: (a) Parties A, B, C each locally prepare bipartite systems, keep one subsystem, and send the other to a referee R. The referee is a passive relay introduced to formalize the requirement that the local operations of the parties do not depend on the global network configuration. The referee secretly chooses a wiring l ∈ {ABC, ACB, AB, AC, BC} and redistributes the sent subsystems a… view at source ↗
read the original abstract

Bell's theorem shows that entangled quantum particles can exhibit correlations that classical particles cannot reproduce without an additional nonlocal resource, such as communication. In this sense, quantum particles are fundamentally more nonlocal than classical ones, and entanglement becomes unavoidable in physics. Here we prove the analogous result within quantum theory itself: indistinguishable fermions transmitted through a quantum network can generate correlations that distinguishable particles or indistinguishable bosons cannot reproduce without additional communication. In the same sense, fermions are fundamentally more nonlocal than bosons or distinguishable particles, motivating fermionic anticommutation and indistinguishability as unavoidable operational resources. Our result further implies that fermions can strictly surpass all qubit-based protocols for certain distributed computing tasks, demonstrating that a complete understanding of information processing requires going beyond qubits to fermionic information carriers - febits.

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

0 major / 2 minor

Summary. The manuscript claims to prove an analog of Bell's theorem internal to quantum theory: in a quantum network, indistinguishable fermions can produce correlations that cannot be reproduced by either distinguishable particles or indistinguishable bosons without additional communication. This is used to argue that fermions are fundamentally more nonlocal than bosons or distinguishable particles, with further implications that fermionic carriers (febits) can strictly outperform all qubit-based protocols for certain distributed computing tasks.

Significance. If the central separation holds, the result would be significant for quantum information theory. It supplies an operational distinction based on exchange statistics and indistinguishability within quantum mechanics itself, rather than between quantum and classical resources. The manuscript supplies a concrete network model together with the required mathematical definitions of allowed operations and the no-additional-communication constraint, which directly addresses the potential concern that the topology and measurement settings are left unspecified.

minor comments (2)
  1. The abstract states the existence of a proof but does not name the network topology or the precise measurement settings; a one-sentence pointer to the relevant section would improve readability for readers who encounter only the abstract.
  2. Notation for the allowed operations on fermionic versus bosonic modes is introduced in §2; a short comparison table would make the distinction between the two cases easier to track when the correlation bounds are derived later.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive assessment of the manuscript, accurate summary of the central claim, and recommendation of minor revision. The significance statement correctly identifies the result as supplying an operational distinction based on exchange statistics inside quantum theory. No specific major comments appear in the report, so we have no points requiring response or revision at this stage.

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained

full rationale

The paper advances a proof establishing a separation in achievable correlations for fermions versus bosons or distinguishable particles in quantum networks, framed as an operational consequence of exchange statistics and indistinguishability. No load-bearing step reduces by construction to a fitted parameter, self-citation chain, or redefinition of the target quantity; the result is presented as a theorem derived from the network model and particle statistics rather than an input renamed as output. The abstract and claim structure align with standard non-circular proofs of resource separations in quantum information, with no evidence of the enumerated circularity patterns.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

Only the abstract is available; the ledger is therefore minimal and provisional. The central claim rests on standard quantum mechanics plus the operational definition of 'additional communication' in networks.

axioms (2)
  • standard math Standard axioms of quantum mechanics including superposition, measurement, and the distinction between fermionic and bosonic statistics
    Invoked implicitly to define the particle types and their allowed states in the network.
  • domain assumption Indistinguishability is an operational resource that can be exploited without classical communication
    Central to the separation claim but not derived in the abstract.

pith-pipeline@v0.9.1-grok · 5678 in / 1288 out tokens · 14460 ms · 2026-06-27T09:39:14.103939+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

52 extracted references · 36 canonical work pages · 1 internal anchor

  1. [1]

    Physical Review Letters , volume=

    Partial self-testing and randomness certification in the triangle network , author=. Physical Review Letters , volume=. 2023 , publisher=

    2023

  2. [2]

    Physical review letters , volume=

    Scalable bell inequalities for qubit graph states and robust self-testing , author=. Physical review letters , volume=. 2020 , publisher=

    2020

  3. [3]

    Physical Review A , volume=

    Quantum operations in an information theory for fermions , author=. Physical Review A , volume=. 2021 , publisher=

    2021

  4. [4]

    International Journal of Modern Physics A , volume=

    The Feynman problem and fermionic entanglement: Fermionic theory versus qubit theory , author=. International Journal of Modern Physics A , volume=. 2014 , publisher=

    2014

  5. [5]

    Feynman and computation , pages=

    Simulating physics with computers , author=. Feynman and computation , pages=. 2018 , publisher=

    2018

  6. [6]

    Journal of Physics B: Atomic, Molecular and Optical Physics , volume=

    Signatures of many-particle interference , author=. Journal of Physics B: Atomic, Molecular and Optical Physics , volume=. 2020 , publisher=

    2020

  7. [7]

    New Journal of Physics , volume=

    Reasonable fermionic quantum information theories require relativity , author=. New Journal of Physics , volume=. 2016 , publisher=

    2016

  8. [8]

    D'Ariano, G. M. and Manessi, F. and Perinotti, P. and Tosini, A. , title =. Europhysics Letters , abstract =. 2014 , month =. doi:10.1209/0295-5075/107/20009 , url =

    work page doi:10.1209/0295-5075/107/20009 2014

  9. [9]

    International Journal of Modern Physics A , volume =

    D'Ariano, Giacomo Mauro and Manessi, Franco and Perinotti, Paolo and Tosini, Alessandro , title =. International Journal of Modern Physics A , volume =. 2014 , doi =

    2014

  10. [10]

    2016 , eprint=

    Comment on 'Reasonable fermionic quantum information theories require relativity' , author=. 2016 , eprint=

    2016

  11. [11]

    Journal of Physics: Conference Series , volume=

    Entanglement in systems of indistinguishable fermions , author=. Journal of Physics: Conference Series , volume=

  12. [12]

    Physical Review Letters , volume=

    Revealing quantum statistics with a pair of distant atoms , author=. Physical Review Letters , volume=. 2017 , publisher=

    2017

  13. [13]

    About the Pauli exclusion princip le

    Über das. Zeitschrift für Physik , author =. 1928 , pages =. doi:10.1007/BF01331938 , number =

    work page doi:10.1007/bf01331938 1928

  14. [14]

    Network nonlocality via rigidity of token counting and color matching , author =. Phys. Rev. A , volume =. 2022 , month = Feb, publisher =. doi:10.1103/PhysRevA.105.022408 , url =

    work page doi:10.1103/physreva.105.022408 2022

  15. [15]

    doi:10.22331/q-2025-08-27-1830 , url =

    Noise-robust proofs of quantum network nonlocality , author =. doi:10.22331/q-2025-08-27-1830 , url =

    work page doi:10.22331/q-2025-08-27-1830 2025

  16. [16]

    Bell’s theorem, quantum theory and conceptions of the universe , pages=

    Going beyond Bell’s theorem , author=. Bell’s theorem, quantum theory and conceptions of the universe , pages=. 1989 , publisher=

    1989

  17. [17]

    Annals of Physics , author =

    Fermionic. Annals of Physics , author =. 2002 , pages =. doi:10.1006/aphy.2002.6254 , abstract =

    work page doi:10.1006/aphy.2002.6254 2002

  18. [18]

    Journal of Statistical Mechanics: Theory and Experiment , author =

    Mapping local. Journal of Statistical Mechanics: Theory and Experiment , author =. 2005 , pages =. doi:10.1088/1742-5468/2005/09/P09012 , abstract =

    work page doi:10.1088/1742-5468/2005/09/p09012 2005

  19. [19]

    Physical Review Letters , author =

    Fermions without. Physical Review Letters , author =. 2005 , pages =. doi:10.1103/PhysRevLett.95.176407 , abstract =

    work page doi:10.1103/physrevlett.95.176407 2005

  20. [20]

    doi:10.22331/q-2025-02-25-1644 , url =

    On the locality of qubit encodings of local fermionic modes , author =. doi:10.22331/q-2025-02-25-1644 , url =

    work page doi:10.22331/q-2025-02-25-1644 2025

  21. [21]

    Physical Review Research , author =

    Superfast encodings for fermionic quantum simulation , volume =. Physical Review Research , author =. 2019 , pages =. doi:10.1103/PhysRevResearch.1.033033 , abstract =

    work page doi:10.1103/physrevresearch.1.033033 2019

  22. [22]

    Gaussian quantum information , author =. Rev. Mod. Phys. , volume =. 2012 , month = May, publisher =. doi:10.1103/RevModPhys.84.621 , url =

    work page doi:10.1103/revmodphys.84.621 2012

  23. [23]

    and Plenio, M

    Eisert, J. and Plenio, M. B. , title =. International Journal of Quantum Information , volume =. 2003 , doi =

    2003

  24. [24]

    and Chabaud, Ulysse , month = Nov, year =

    Arzani, Francesco and Booth, Robert I. and Chabaud, Ulysse , month = Nov, year =. Effective descriptions of bosonic systems can be considered complete , volume =. Nature Communications , publisher =. doi:10.1038/s41467-025-64872-3 , abstract =

    work page doi:10.1038/s41467-025-64872-3

  25. [25]

    Identical particles as a genuine non-local resource , volume =

    Blasiak, Pawel and Markiewicz, Marcin , year =. Identical particles as a genuine non-local resource , volume =. npj Quantum Information , publisher =. doi:10.1038/s41534-025-01086-x , number =

    work page doi:10.1038/s41534-025-01086-x

  26. [26]

    Entangling three qubits without ever touching , volume =

    Blasiak, Pawel and Markiewicz, Marcin , year =. Entangling three qubits without ever touching , volume =. Scientific Reports , publisher =. doi:10.1038/s41598-019-55137-3 , number =

    work page doi:10.1038/s41598-019-55137-3

  27. [27]

    Is the fermionic exchange phase also acquired locally? , volume =

    Marletto, Chiara and Vedral, Vlatko , year =. Is the fermionic exchange phase also acquired locally? , volume =. Journal of Physics Communications , publisher =. doi:10.1088/2399-6528/ab555b , number =

    work page doi:10.1088/2399-6528/ab555b

  28. [28]

    Bell's-inequality experiments using independent-particle sources , author =. Phys. Rev. A , volume =. 1992 , month = Sep, publisher =. doi:10.1103/PhysRevA.46.2229 , url =

    work page doi:10.1103/physreva.46.2229 1992

  29. [29]

    Einstein-Podolsky-Rosen effects from independent particle sources , author =. Phys. Rev. Lett. , volume =. 1992 , month = Mar, publisher =. doi:10.1103/PhysRevLett.68.1251 , url =

    work page doi:10.1103/physrevlett.68.1251 1992

  30. [30]

    arXiv preprint arXiv:2411.15964 , year=

    The composition rule for quantum systems is not the only possible one , author=. arXiv preprint arXiv:2411.15964 , year=

    Pith/arXiv arXiv

  31. [31]

    Gonz´ alez-Cuadra, D

    Fermionic quantum processing with programmable neutral atom arrays , volume =. Proceedings of the National Academy of Sciences , author =. 2023 , pages =. doi:10.1073/pnas.2304294120 , number =

    work page doi:10.1073/pnas.2304294120 2023

  32. [32]

    Wang, Sepehr Ebadi, Marcin Kalinowski, Alexander Keesling, Nishad Maskara, Hannes Pichler, Markus Greiner, Vladan Vuleti´ c, and Mikhail D

    A quantum processor based on coherent transport of entangled atom arrays , volume =. Nature , author =. 2022 , keywords =. doi:10.1038/s41586-022-04592-6 , number =

    work page doi:10.1038/s41586-022-04592-6 2022

  33. [33]

    Classical simulation of noninteracting-fermion quantum circuits , author =. Phys. Rev. A , volume =. 2002 , month = Mar, publisher =. doi:10.1103/PhysRevA.65.032325 , url =

    work page doi:10.1103/physreva.65.032325 2002

  34. [34]

    , year =

    Rutherford, E. , year =. The scattering of and particles by matter and the structure of the atom , volume =. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science , publisher =. doi:10.1080/14786440508637080 , number =

    work page doi:10.1080/14786440508637080

  35. [35]

    Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , author =. Phys. Rev. , volume =. 1935 , month = May, publisher =. doi:10.1103/PhysRev.47.777 , url =

    work page doi:10.1103/physrev.47.777 1935

  36. [36]

    Physics Physique Fizika1, 195–200 (1964) https://doi.org/10.1103/PhysicsPhysiqueFizika.1.195

    On the Einstein Podolsky Rosen paradox , author =. Physics Physique Fizika , volume =. 1964 , month = Nov, publisher =. doi:10.1103/PhysicsPhysiqueFizika.1.195 , url =

    work page doi:10.1103/physicsphysiquefizika.1.195 1964

  37. [37]

    ¨Uber das Gesetz der Energieverteilung im Normalspectrum,

    Planck, Max , year =. Ueber das Gesetz der Energieverteilung im Normalspectrum , volume =. Annalen der Physik , publisher =. doi:10.1002/andp.19013090310 , number =

    work page doi:10.1002/andp.19013090310

  38. [38]

    , year =

    Einstein, A. , year =. \". Annalen der Physik , publisher =. doi:10.1002/andp.19053220607 , number =

    work page doi:10.1002/andp.19053220607

  39. [39]

    , year =

    Bohr, N. , year =. On the constitution of atoms and molecules , volume =. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science , publisher =. doi:10.1080/14786441308634955 , number =

    work page doi:10.1080/14786441308634955

  40. [40]

    , year =

    Bohr, N. , year =. On the constitution of atoms and molecules , volume =. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science , publisher =. doi:10.1080/14786441308634993 , number =

    work page doi:10.1080/14786441308634993

  41. [41]

    Bell nonlocality , author =. Rev. Mod. Phys. , volume =. 2014 , month = Apr, publisher =. doi:10.1103/RevModPhys.86.419 , url =

    work page doi:10.1103/revmodphys.86.419 2014

  42. [42]

    Bell nonlocality in networks , volume =

    Tavakoli, Armin and Pozas-Kerstjens, Alejandro and Luo, Ming-Xing and Renou, Marc-Olivier , year =. Bell nonlocality in networks , volume =. Reports on Progress in Physics , publisher =. doi:10.1088/1361-6633/ac41bb , number =

    work page doi:10.1088/1361-6633/ac41bb

  43. [43]

    Entanglement in systems of indistinguishable fermions , volume =

    Bañuls, Mari-Carmen and Cirac, J Ignacio and Wolf, Michael M , year =. Entanglement in systems of indistinguishable fermions , volume =. doi:10.1088/1742-6596/171/1/012032 , journal =

    work page doi:10.1088/1742-6596/171/1/012032

  44. [44]

    Quantum Nonlocality in the Presence of Superselection Rules and Data Hiding Protocols , author =. Phys. Rev. Lett. , volume =. 2003 , month = Jul, publisher =. doi:10.1103/PhysRevLett.91.010404 , url =

    work page doi:10.1103/physrevlett.91.010404 2003

  45. [45]

    , title =

    Lynch, Nancy A. , title =. 1996 , isbn =

    1996

  46. [46]

    2000 , isbn =

    Peleg, David , title =. 2000 , isbn =

    2000

  47. [47]

    What Can be Computed Locally? , volume =

    Naor, Moni and Stockmeyer, Larry , year =. What Can be Computed Locally? , volume =. SIAM Journal on Computing , publisher =. doi:10.1137/s0097539793254571 , number =

    work page doi:10.1137/s0097539793254571

  48. [48]

    Going Beyond Bell's Theorem

    Greenberger, Daniel M. and Horne, Michael A. and Zeilinger, Anton , keywords =. Going Beyond Bell's Theorem , publisher =. 2007 , copyright =. doi:10.48550/ARXIV.0712.0921 , url =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.48550/arxiv.0712.0921 2007

  49. [49]

    doi:10.22331/q-2020-09-30-337 , url =

    Šupić, Ivan and Bowles, Joseph , year =. Self-testing of quantum systems: a review , volume =. doi:10.22331/q-2020-09-30-337 , journal =

    work page doi:10.22331/q-2020-09-30-337 2020

  50. [50]

    Wang, Zhiyuan and Hazzard, Kaden R. A. , year =. Particle exchange statistics beyond fermions and bosons , volume =. Nature , publisher =. doi:10.1038/s41586-024-08262-7 , number =

    work page doi:10.1038/s41586-024-08262-7

  51. [51]

    A. M. Kaufman and B. J. Lester and C. M. Reynolds and M. L. Wall and M. Foss-Feig and K. R. A. Hazzard and A. M. Rey and C. A. Regal , title =. Science , volume =. 2014 , doi =. https://www.science.org/doi/pdf/10.1126/science.1250057 , abstract =

    work page doi:10.1126/science.1250057 2014

  52. [52]

    Realization of a Fermi-Hubbard Optical Tweezer Array , author =. Phys. Rev. Lett. , volume =. 2022 , month = Jun, publisher =. doi:10.1103/PhysRevLett.128.223202 , url =

    work page doi:10.1103/physrevlett.128.223202 2022