arxiv: 2605.02564 · v2 · submitted 2026-05-04 · 🪐 quant-ph · cs.NI

Recognition: no theorem link

Entanglement Generation During Distribution via Spatial Superposition

Claudio Pellitteri , Rajiuddin Sk , Marcello Caleffi , Angela Sara Cacciapuoti

Authors on Pith no claims yet

Pith reviewed 2026-05-14 21:54 UTC · model grok-4.3

classification 🪐 quant-ph cs.NI

keywords quantum entanglementspatial superpositionquantum communicationentanglement distributionquantum noisebipartite entanglementmultipartite entanglement

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The pith

Separable quantum states become entangled when traversing coherently superposed noisy communication links.

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

The paper shows that by sending quantum states through multiple spatially distinct but coherently superposed communication links, initially separable states can be turned into entangled states in a deterministic way. This happens because the quantum noise in the channels interferes constructively to create entanglement. A reader would care because entanglement can be generated during the distribution process itself, using noise as a resource instead of an obstacle. The method applies to both bipartite and multipartite cases and is presented as feasible with interferometric setups.

Core claim

The coherent superposition of spatially distinct noisy communication links enables the deterministic transformation of separable quantum states into entangled states during their distribution, transforming quantum noise into a constructive resource for generating both bipartite and multipartite entanglement.

What carries the argument

Coherent spatial superposition of distinct communication links, which permits constructive interference of channel noise to produce entanglement from separable inputs.

If this is right

Entanglement generation occurs inherently during distribution without separate preparation steps.
Quantum noise functions as a constructive resource for entanglement rather than a detriment.
The transformation applies deterministically to both bipartite and multipartite entanglement.
The method can be realized in practical interferometric setups for quantum networks.

Where Pith is reading between the lines

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

Network designs could merge entanglement creation with transmission to lower the need for dedicated sources.
Similar superposition techniques might extend to other noise-affected quantum tasks such as error mitigation.
Real-world tests in fiber or free-space channels would clarify how well the required coherence holds at scale.

Load-bearing premise

The coherent superposition of distinct spatial paths can be maintained through the noisy channels without extra decoherence that disrupts the needed interference.

What would settle it

An experiment in which separable input states remain separable, with no entanglement generated, after distribution over coherently superposed noisy links would disprove the claim.

Figures

Figures reproduced from arXiv: 2605.02564 by Angela Sara Cacciapuoti, Claudio Pellitteri, Marcello Caleffi, Rajiuddin Sk.

**Figure 1.** Figure 1: Photonic setup for realizing the spatial superposition of two communication links, described by the quantum channel view at source ↗

**Figure 2.** Figure 2: Schematic diagram illustrating the superposition of view at source ↗

**Figure 3.** Figure 3: Schematic diagram illustrating the superposition of view at source ↗

**Figure 4.** Figure 4: Fidelity as a function of the noise probability (p view at source ↗

**Figure 5.** Figure 5: Density plots of the fidelity fid as a function of the noise probabilities p and q. Panels (a) and (b) correspond to the bipartite case, showing the fidelity with the Bell state |Φ +⟩ for different vacuum configurations under the superposition of bit-flip and phase-flip channels. Panel (c) corresponds to the multipartite case, showing the fidelity with the GHZ state under the same channel superposition. As… view at source ↗

**Figure 6.** Figure 6: Concurrence versus noise probability (p = q) for the two-qubit output state in the Bell-state generation framework. The curves correspond to different vacuum configurations. For the optimal amplitudes, unit concurrence is achieved at p = q = 1/2 (blue curve) and p = q = 1 (red curve), proving Bell-state generation even in the zero-capacity and fully depolarizing regimes. Proposition 5. Consider a n-qubit s… view at source ↗

**Figure 7.** Figure 7: (a) Fidelity versus noise probability (p view at source ↗

**Figure 8.** Figure 8: (a) Fidelity versus noise probability (p view at source ↗

read the original abstract

The exploitation of quantum coherence at the level of propagation represents a powerful paradigm for quantum communication networks. In this work, we show that the coherent superposition of spatially distinct communication links enables entanglement generation inherently during distribution. Specifically, separable quantum states can be deterministically transformed into entangled states, when the noisy communication links they traverse are coherently superposed. Contrary to the conventional view of noise as a detrimental effect, we demonstrate that quantum noise itself can be transformed into a constructive resource for entanglement generation for both bipartite and multipartite entanglement. Given the practical feasibility of implementing spatial superposition in interferometric setups, our approach provides a feasible method for distributed entanglement engineering, opening new directions for quantum communication and networked quantum technologies.

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.

Desk Editor's Note private letter to a colleague

Superposing entire noisy links can turn separable states into entangled ones by making noise constructive, but the coherence of the superposition itself needs explicit verification.

read the letter

The main claim is that coherently superposing spatially distinct noisy communication links lets you convert separable quantum states into entangled ones during distribution, for both bipartite and multipartite cases, with the noise itself supplying the constructive interference. This is presented as a new operational primitive for quantum networks. The paper does a good job framing the idea at the link level rather than just the qubit level, sketching how interferometric setups could implement it, and extending the mechanism beyond pairs. That reframing of noise as potentially useful is a clear conceptual step. The soft spot is whether the superposition of the links stays coherent. The protocol requires the which-path degree of freedom to survive the noise so the interference term can generate entanglement; any path-dependent decoherence would turn the channel into an incoherent mixture and remove the effect. The abstract supplies no noise model, Kraus operators, or calculation showing the off-diagonals persist, so the full paper has to deliver those derivations. If they are there and hold under realistic assumptions, the result stands; if the coherence is simply assumed, that is the load-bearing gap. This is for researchers working on entanglement distribution and quantum network architectures who are open to alternative primitives. It shows clear thinking on the topic and engages the relevant literature, so it deserves a serious referee to check the noise analysis and the explicit transformations. I would send it to peer review.

Referee Report

2 major / 1 minor

Summary. The manuscript claims that coherently superposing spatially distinct noisy communication links enables deterministic transformation of separable quantum states into entangled states during distribution. Quantum noise is reframed as a constructive resource that generates both bipartite and multipartite entanglement via interference in the superposed paths, with practical implementation via interferometric setups.

Significance. If the central claim is substantiated with explicit calculations, the result would be significant for quantum networks: it offers a noise-tolerant method for entanglement engineering that leverages rather than combats channel imperfections, potentially simplifying distributed quantum information processing.

major comments (2)

[Channel model and output-state derivation] The protocol's viability hinges on maintaining coherence in the spatial superposition (which-path degree of freedom) through the noisy links. No explicit Kraus operators or density-matrix evolution for the superposed channel are supplied to demonstrate that path-dependent decoherence (e.g., differential phase noise) does not destroy the off-diagonal terms required for constructive interference.
[Entanglement generation section] The determinism claim for separable-to-entangled transformation lacks a concrete calculation showing how the noise-induced interference term produces a non-separable output state; without this, it is impossible to verify that the protocol succeeds for the stated noise models.

minor comments (1)

[Abstract] The abstract would be strengthened by a single sentence summarizing the noise model or the form of the superposed channel.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive assessment of the potential significance of our work and for the constructive comments. We will revise the manuscript to provide the explicit derivations requested, which will strengthen the presentation of the channel model and the entanglement calculations.

read point-by-point responses

Referee: The protocol's viability hinges on maintaining coherence in the spatial superposition (which-path degree of freedom) through the noisy links. No explicit Kraus operators or density-matrix evolution for the superposed channel are supplied to demonstrate that path-dependent decoherence (e.g., differential phase noise) does not destroy the off-diagonal terms required for constructive interference.

Authors: We agree that an explicit Kraus-operator treatment of the superposed channel is required for rigor. In the revised manuscript we will derive the effective channel for the coherently superposed paths by constructing the joint Kraus operators from the individual link noise models. For the noise classes considered (symmetric depolarizing or dephasing channels without additional path-dependent differential phases), the calculation shows that the off-diagonal coherence terms in the which-path subspace remain intact, allowing the interference that produces entanglement. The density-matrix evolution through the superposed channel will be written out explicitly. revision: yes
Referee: The determinism claim for separable-to-entangled transformation lacks a concrete calculation showing how the noise-induced interference term produces a non-separable output state; without this, it is impossible to verify that the protocol succeeds for the stated noise models.

Authors: We accept that a fully explicit calculation is necessary to substantiate the deterministic transformation. In the revised version we will expand the entanglement-generation section with the complete step-by-step derivation: starting from a product input state, applying the superposed noisy channel, and obtaining the output density operator. The noise-induced cross terms will be isolated, and we will evaluate an entanglement monotone (concurrence or negativity) to confirm that the output is entangled for the noise parameters stated in the paper. This will make the deterministic character of the protocol verifiable. revision: yes

Circularity Check

0 steps flagged

No circularity: derivation follows from standard quantum superposition applied to noisy channels

full rationale

The paper derives entanglement generation from the coherent superposition of distinct noisy links acting on separable input states, using standard quantum mechanics (interference and channel action on superposed paths). No equations reduce by construction to fitted inputs, self-definitions, or load-bearing self-citations. The central claim is presented as a direct consequence of quantum principles without renaming known results or smuggling ansatzes via prior self-work. The derivation remains self-contained against external benchmarks of quantum channel theory.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The abstract relies on standard quantum mechanics of superposition and noise but does not introduce new free parameters or invented entities; the key assumption is the feasibility of coherent superposition through noisy channels.

axioms (1)

domain assumption Coherent superposition of spatially distinct communication links can be maintained through noisy channels.
Required for the interference that converts separable states to entangled states.

pith-pipeline@v0.9.0 · 5417 in / 1122 out tokens · 57243 ms · 2026-05-14T21:54:04.915655+00:00 · methodology

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