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arxiv: 2501.15675 · v2 · pith:UDAQITTXnew · submitted 2025-01-26 · 🪐 quant-ph · cs.IT· math.IT

Joint Communication and Sensing with Bipartite Entanglement over Bosonic Channels

Tuna Erdo\u{g}an , Shi-Yuan Wang , Shang-Jen Su , Matthieu Bloch This is my paper

Pith reviewed 2026-05-23 04:30 UTC · model grok-4.3

classification 🪐 quant-ph cs.ITmath.IT
keywords joint communication and sensingbipartite entanglementbosonic channelsquantum illuminationrate-error exponentquantum advantageoptical links
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The pith

Shared bipartite entanglement yields an achievable rate/error-exponent region for joint communication and sensing over bosonic channels that outperforms time-sharing.

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

The paper studies a transmitter that must simultaneously send information to a receiver and determine the range of a defect by detecting its backscattered signal over an optical link. The system is modeled as a lossy thermal-noise bosonic channel in which the defect acts as a beamsplitter whose position determines the arrival time of the reflected light. Bipartite entanglement is supplied to the transmitter to aid both tasks, creating an explicit allocation trade-off between communication rate and sensing accuracy. The central contribution is an inner bound on the resulting rate versus error-exponent region that is strictly larger than the region obtained by time-sharing the entanglement resource between the two tasks.

Core claim

Our main result is a characterization of these trade-offs in the form of an achievable rate/error-exponent region, which can outperform time-sharing and demonstrates a quantum advantage.

What carries the argument

Achievable rate/error-exponent region obtained by allocating shared bipartite entanglement between a communication task and a quantum-illumination-style sensing task inside a lossy thermal-noise bosonic channel.

If this is right

  • The region contains operating points that simultaneously improve both communication rate and sensing error exponent relative to any time-sharing allocation of the same entanglement.
  • Entanglement-assisted sensing (quantum illumination) and entanglement-assisted communication can be performed concurrently without complete resource separation.
  • The timing information carried by the backscattered component is explicitly folded into the error-exponent analysis, linking the defect location directly to the channel output statistics.
  • Quantum advantage appears in the interior of the region rather than only at the boundary points corresponding to pure sensing or pure communication.

Where Pith is reading between the lines

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

  • The same allocation strategy could be applied to multi-defect or multi-target scenarios by extending the beamsplitter model to several independent timing parameters.
  • Practical network design might treat entanglement distribution as a dual-use resource that simultaneously supports data links and environmental monitoring.
  • The inner bound could be tightened by deriving matching outer bounds or by incorporating more general entangled states beyond bipartite pairs.
  • Experimental tests would require controlled bosonic channels with calibrated thermal noise and precise timing resolution to check whether the predicted region is observed.

Load-bearing premise

The backscattered signal timing is fully determined by modeling the defect as a beamsplitter inside a lossy thermal-noise bosonic channel whose parameters are known to the transmitter and receiver.

What would settle it

A concrete calculation or numerical evaluation showing that no point in the claimed region lies strictly outside the time-sharing boundary while still achieving positive communication rate and positive sensing error exponent would falsify the main result.

Figures

Figures reproduced from arXiv: 2501.15675 by Matthieu Bloch, Shang-Jen Su, Shi-Yuan Wang, Tuna Erdo\u{g}an.

Figure 1
Figure 1. Figure 1: Joint communication and sensing model with entanglement resource over a lossy thermal-noise [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Comparison of the region corresponding to Theorem [PITH_FULL_IMAGE:figures/full_fig_p012_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Trade-off regions corresponding to Theorem [PITH_FULL_IMAGE:figures/full_fig_p012_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Comparison of the region corresponding to Theorem [PITH_FULL_IMAGE:figures/full_fig_p012_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Comparison of χ [PITH_FULL_IMAGE:figures/full_fig_p013_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Comparison of EnQI(N), EQI(NS), EQI(NS, Nm) and their approximations for Nth = 104 and η = 0.99 13 [PITH_FULL_IMAGE:figures/full_fig_p013_6.png] view at source ↗
read the original abstract

We consider a joint communication and sensing problem over an optical link in which a low-power transmitter simultaneously communicates with a receiver and identifies the range of a defect producing a backscattered signal. We model the system as a lossy thermal-noise bosonic channel, in which the target location, modeled as a beamsplitter, affects the timing of the backscattered signal. Motivated by the envisioned deployment of entanglement-enabled quantum networks, we allow the transmitter to exploit shared entanglement to assist both sensing and communication. Since entanglement is known to enhance sensing, as demonstrated in Quantum Illumination (QI), and to increase communication rates through entanglement-assisted communication, the transmitter faces a trade-off in allocating its entanglement resources between the two tasks. Our main result is a characterization of these trade-offs in the form of an achievable rate/error-exponent region, which can outperform time-sharing and demonstrates a quantum advantage.

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

1 major / 1 minor

Summary. The paper considers joint communication and sensing over a lossy thermal-noise bosonic channel where a defect is modeled as a beamsplitter whose location affects the timing of the backscattered signal. The transmitter uses shared bipartite entanglement to assist both tasks and faces a resource-allocation trade-off. The central claim is a characterization of an achievable rate/error-exponent region that can outperform time-sharing and exhibits a quantum advantage.

Significance. If the derivations hold, the work supplies a concrete, entanglement-assisted achievable region for joint tasks, extending quantum illumination and entanglement-assisted communication to a combined setting. This supplies a quantitative framework for entanglement-resource allocation in optical quantum networks.

major comments (1)
  1. [Model section] Model section: the derivation of the achievable region rests on the explicit premise that channel loss and noise parameters are known perfectly to transmitter and receiver and that backscattered-signal arrival time is a deterministic function of the beamsplitter parameters. The mutual-information and Chernoff-information expressions used to bound the region therefore inherit this perfect-knowledge assumption; the paper should state whether the region remains valid or requires modification when these parameters must be estimated jointly with the defect location.
minor comments (1)
  1. [Abstract] Abstract: the statement that the region 'can outperform time-sharing' would benefit from a brief indication of the regime (e.g., low-power or specific reflectivity values) in which the advantage appears.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading and the constructive comment on the model assumptions. We address the point below.

read point-by-point responses

  1. Referee: [Model section] Model section: the derivation of the achievable region rests on the explicit premise that channel loss and noise parameters are known perfectly to transmitter and receiver and that backscattered-signal arrival time is a deterministic function of the beamsplitter parameters. The mutual-information and Chernoff-information expressions used to bound the region therefore inherit this perfect-knowledge assumption; the paper should state whether the region remains valid or requires modification when these parameters must be estimated jointly with the defect location.

    Authors: We agree that the derivation of the achievable rate/error-exponent region is based on the assumption of perfect knowledge of the channel loss and noise parameters together with deterministic arrival time of the backscattered signal. These quantities enter the mutual-information and Chernoff-information expressions directly. The manuscript does not assert that the same region holds when the parameters must be estimated jointly with defect location; such a setting would require a modified analysis that accounts for the resulting uncertainty. We will revise the model section to state the perfect-knowledge assumption explicitly and to note that the region applies under this premise, with the joint-estimation case left as an open direction. revision: yes

Circularity Check

0 steps flagged

No circularity; model assumptions stated explicitly but derivation chain not shown to reduce to inputs by construction.

full rationale

The provided abstract and text state the system model (lossy thermal-noise bosonic channel with beamsplitter defect of known parameters) as a premise for deriving the achievable rate/error-exponent region. No equations, self-citations, or fitted parameters are quoted that would make any claimed prediction equivalent to its inputs by definition. The result is presented as an achievable region under the model, with no evidence of self-definitional steps, fitted inputs renamed as predictions, or load-bearing self-citation chains. This matches the default expectation of no significant circularity for papers whose central claims remain independent of the inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract provides no explicit free parameters, axioms, or invented entities; ledger left empty pending full text.

pith-pipeline@v0.9.0 · 5692 in / 985 out tokens · 30352 ms · 2026-05-23T04:30:19.590223+00:00 · methodology

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Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

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extends
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unclear
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Reference graph

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