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arxiv: 2509.06070 · v2 · submitted 2025-09-07 · 📡 eess.SP

Quantum Radar for ISAC: Sum-Rate Optimization

Pith reviewed 2026-05-18 18:08 UTC · model grok-4.3

classification 📡 eess.SP
keywords quantum radarISACquantum illuminationsum-rate optimizationbeamformingsuccessive convex approximationintegrated sensing and communication
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The pith

Integrating quantum illumination radar into a base station enables higher communication rates than classical ISAC while satisfying sensing constraints.

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

This paper develops a framework for embedding quantum illumination radar into wireless base stations to support both classical communication and enhanced target detection. It sets up a sum-rate maximization problem that jointly tunes transmit power and beamforming vectors under radar sensing requirements. Successive convex approximation solves the resulting non-convex optimization. Performance bounds derived from statistical detection theory show quantum protocols outperforming classical ones when signal-to-interference-plus-noise ratios are low. Simulations confirm the integrated system delivers more throughput than conventional ISAC baselines while meeting detection targets.

Core claim

The paper claims that an integrated quantum sensing and classical communication system achieves higher communication throughput than conventional ISAC baselines while satisfying the sensing requirement, with quantum advantage clearest in low signal-to-interference-plus-noise ratio regimes according to the derived statistical detection bounds.

What carries the argument

The IQSCC system whose sum-rate is maximized subject to radar sensing constraints, solved by successive convex approximation of the joint power and beamforming problem, with classical-versus-quantum performance bounds supplied by statistical detection theory.

If this is right

  • The optimized beamforming and power allocation simultaneously enable full-duplex classical communication and quantum-enhanced target detection.
  • Quantum radar protocols deliver higher detection probability than classical ones under low-power and high-noise conditions.
  • The sum-rate increases while the radar sensing constraint remains satisfied, as verified by the successive convex approximation solution.
  • The framework applies to scenarios where spectrum efficiency and hardware convergence are required.

Where Pith is reading between the lines

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

  • Hardware prototypes could reveal how decoherence scales with distance and frequency in real channels.
  • The same optimization structure might extend to multi-user or multi-target settings without changing the core formulation.
  • Designers of future wireless systems could use the low-SINR quantum advantage to relax transmit power budgets while keeping sensing quality fixed.

Load-bearing premise

Quantum illumination radar can be embedded into base station hardware and channel models without major additional losses or decoherence that would invalidate the performance bounds.

What would settle it

A side-by-side measurement of achieved communication sum-rate and target detection probability for the quantum system versus a classical ISAC baseline, performed at low SINR in a controlled hardware testbed, would confirm or refute the reported throughput gains.

Figures

Figures reproduced from arXiv: 2509.06070 by Abdulkarim Hariri, Abdulmohsen Alsaui, Hyundong Shin, Neel Kanth Kundu, Octavia A. Dobre.

Figure 1
Figure 1. Figure 1: Illustration of the considered ISAC system with a DL user, a UL user, and a monostatic radar target. [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: The benchmarking radars used to evaluate the performance of each quantum radar. [PITH_FULL_IMAGE:figures/full_fig_p009_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Detection probability versus SINR for the derived classical CW radar model and reference expressions. [PITH_FULL_IMAGE:figures/full_fig_p010_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Thermal photon count as a function of frequency and background temperature. [PITH_FULL_IMAGE:figures/full_fig_p011_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Detection probability as a function of the SINR for the classical CW and CS radar models for different thermal noise photon count numbers, with [PITH_FULL_IMAGE:figures/full_fig_p011_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Detection probability versus SINR for the QI and classical CS radar models. [PITH_FULL_IMAGE:figures/full_fig_p012_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Required SINR versus Pd for QI and CS radar models at Pf = 10−6 . IV. INTEGRATED QUANTUM SENSING AND CLASSICAL COMMUNICATION (IQSCC) SYSTEM In the proposed quantum ISAC system, a TMSV-based QI radar is employed for target sensing. The radar SINR expression derived in (14) is not directly applicable to the QI radar case, as the total transmit covariance, Vt, includes contributions from both the radar-specif… view at source ↗
Figure 8
Figure 8. Figure 8: Beampattern gain for the (a) conventional ISAC [PITH_FULL_IMAGE:figures/full_fig_p014_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Achieved sum rate versus iteration index for the conventional ISAC and proposed IQSCC systems. [PITH_FULL_IMAGE:figures/full_fig_p014_9.png] view at source ↗
read the original abstract

Integrated sensing and communication (ISAC) is emerging as a key enabler for spectrum-efficient and hardware-converged wireless networks. However, classical radar systems within ISAC architectures face fundamental limitations under low signal power and high-noise conditions. This paper proposes a novel framework that embeds quantum illumination radar into a base station to simultaneously support full-duplex classical communication and quantum-enhanced target detection. The resulting integrated quantum sensing and classical communication (IQSCC) system is optimized via a sum-rate maximization formulation subject to radar sensing constraints. The non-convex joint optimization of transmit power and beamforming vectors is tackled using the successive convex approximation technique. Furthermore, we derive performance bounds for classical and quantum radar protocols under the statistical detection theory, highlighting the quantum advantage in low signal-to-interference-plus-noise ratio regimes. Simulation results demonstrate that the proposed IQSCC system achieves a higher communication throughput than the conventional ISAC baseline while satisfying the sensing requirement.

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 / 2 minor

Summary. The manuscript proposes an Integrated Quantum Sensing and Classical Communication (IQSCC) system embedding quantum illumination radar into a base station for simultaneous full-duplex classical communication and quantum-enhanced target detection. It formulates a sum-rate maximization problem subject to radar sensing constraints, solves the resulting non-convex joint optimization of transmit power and beamforming vectors via successive convex approximation (SCA), derives performance bounds for classical versus quantum radar protocols under statistical detection theory, and presents simulations claiming higher communication throughput than conventional ISAC baselines while meeting sensing requirements, with the quantum advantage emphasized in low-SINR regimes.

Significance. If the central claims hold after addressing the noted limitations, the work would offer a concrete optimization framework for quantum-enhanced ISAC and demonstrate potential throughput gains from quantum illumination in low-power regimes using standard tools (SCA and statistical detection bounds). The simulations supporting higher sum-rate under sensing constraints provide empirical grounding, but the overall significance depends on whether the derived quantum advantage survives realistic channel impairments.

major comments (1)
  1. [performance bounds derivation] The section deriving performance bounds for classical and quantum radar protocols (referenced in the abstract and used to support the low-SINR advantage): the quantum detection-probability improvement is derived under ideal entanglement preservation without explicit round-trip transmissivity loss (η) or decoherence terms in the ISAC wireless channel model. Standard quantum illumination results show this advantage vanishes for η ≲ 0.5 or imperfect idler-signal correlation; because the sensing constraint and the claim of quantum superiority in the optimization rest on these bounds, the omission is load-bearing for the central claim.
minor comments (2)
  1. [simulation results] The simulation results section would be strengthened by reporting the number of Monte Carlo trials, exact parameter values (e.g., specific η, decoherence rates, or SINR thresholds), and error bars or confidence intervals on the sum-rate curves.
  2. [system model] Notation for the beamforming vectors and power allocation variables should be introduced consistently in the system model section before their use in the SCA formulation.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the constructive feedback on our manuscript. We address the major comment below and will revise the manuscript to strengthen the performance bounds section.

read point-by-point responses
  1. Referee: The section deriving performance bounds for classical and quantum radar protocols (referenced in the abstract and used to support the low-SINR advantage): the quantum detection-probability improvement is derived under ideal entanglement preservation without explicit round-trip transmissivity loss (η) or decoherence terms in the ISAC wireless channel model. Standard quantum illumination results show this advantage vanishes for η ≲ 0.5 or imperfect idler-signal correlation; because the sensing constraint and the claim of quantum superiority in the optimization rest on these bounds, the omission is load-bearing for the central claim.

    Authors: We acknowledge that the current derivation of the performance bounds assumes ideal entanglement preservation and does not explicitly include round-trip transmissivity loss η or decoherence terms. To address this limitation, we will revise the statistical detection theory analysis in the manuscript to incorporate these parameters. The updated bounds will model the effective quantum illumination channel with η and account for idler-signal correlation degradation, allowing us to re-derive the detection probability expressions and clarify the regimes where the quantum advantage holds under realistic ISAC conditions. This revision will directly support the sensing constraints in the sum-rate optimization and provide a more robust justification for the low-SINR claims. revision: yes

Circularity Check

0 steps flagged

No circularity: bounds and optimization derive from standard detection theory and SCA without reducing to self-fitted inputs or self-citations.

full rationale

The paper's central derivation uses statistical detection theory to obtain classical vs. quantum radar performance bounds and applies successive convex approximation to a standard sum-rate maximization problem subject to sensing constraints. These steps are independent of the target result; the quantum advantage in low-SINR regimes follows from the model assumptions rather than being presupposed or fitted by construction. No self-definitional loops, renamed predictions, or load-bearing self-citations appear in the described chain. The approach remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The framework relies on standard assumptions from quantum radar and wireless communication literature, with optimization variables treated as decision variables rather than fitted constants; no new entities postulated.

free parameters (1)
  • Transmit power and beamforming vectors
    Jointly optimized decision variables in the sum-rate maximization subject to sensing constraints.
axioms (1)
  • domain assumption Quantum illumination provides detection advantage in low SINR regimes per statistical detection theory
    Invoked when deriving performance bounds and highlighting quantum advantage.

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Works this paper leans on

37 extracted references · 37 canonical work pages

  1. [1]

    Localization as a key enabler of 6G wireless systems: A comprehensive survey and an outlook,

    S. E. Trevlakiset al., “Localization as a key enabler of 6G wireless systems: A comprehensive survey and an outlook,”IEEE Open J. Commun. Soc., vol. 4, pp. 2733–2801, 2023

  2. [2]

    5G networks enabling cooperative autonomous vehicle localization: A survey,

    B. Zhou, Z. Liu, and H. Su, “5G networks enabling cooperative autonomous vehicle localization: A survey,”IEEE Trans. Intell. Transp. Syst., vol. 25, no. 11, pp. 15 291–15 313, Nov. 2024

  3. [3]

    Integrated sensing and communications: Recent advances and ten open challenges,

    S. Luet al., “Integrated sensing and communications: Recent advances and ten open challenges,”IEEE Internet Things J., vol. 11, no. 11, pp. 19 094– 19 120, Jun. 2024

  4. [4]

    Integrated sensing and communications: Toward dual-functional wireless networks for 6G and beyond,

    F. Liuet al., “Integrated sensing and communications: Toward dual-functional wireless networks for 6G and beyond,”IEEE J. Sel. Areas Commun., vol. 40, no. 6, pp. 1728–1767, Jun. 2022

  5. [5]

    Cramér-rao bound optimization for joint radar-communication beamforming,

    ——, “Cramér-rao bound optimization for joint radar-communication beamforming,”IEEE Trans. Signal Process., vol. 70, pp. 240–253, Dec. 2021

  6. [6]

    Full-duplex communication for ISAC: Joint beamforming and power optimization,

    Z. Heet al., “Full-duplex communication for ISAC: Joint beamforming and power optimization,”IEEE J. Sel. Areas Commun., vol. 41, no. 9, pp. 2920–2936, Sep. 2023

  7. [7]

    Quantum-enhanced measurements: beating the standard quantum limit,

    V . Giovannetti, S. Lloyd, and L. Maccone, “Quantum-enhanced measurements: beating the standard quantum limit,”Science, vol. 306, no. 5700, pp. 1330–1336, Nov. 2004

  8. [8]

    Enhanced sensitivity of photodetection via quantum illumination,

    S. Lloyd, “Enhanced sensitivity of photodetection via quantum illumination,”Science, vol. 321, no. 5895, pp. 1463–1465, Sep. 2008

  9. [9]

    Quantum illumination with a hetero-homodyne receiver and sequential detection,

    M. Reichertet al., “Quantum illumination with a hetero-homodyne receiver and sequential detection,”Phys. Rev. Appl., vol. 20, no. 1, Jul. 2023, Art. no. 014030

  10. [10]

    Microwave quantum illumination with correlation-to-displacement conversion,

    J. Angelettiet al., “Microwave quantum illumination with correlation-to-displacement conversion,”Phys. Rev. Appl., vol. 20, no. 2, p. 024030, Aug. 2023

  11. [11]

    Microwave quantum illumination using a digital receiver,

    S. Barzanjehet al., “Microwave quantum illumination using a digital receiver,”Sci. Adv., vol. 6, no. 19, p. eabb0451, May 2020

  12. [12]

    Quantum advantage in microwave quantum radar,

    R. Assoulyet al., “Quantum advantage in microwave quantum radar,”Nature Phys., vol. 19, no. 10, pp. 1418–1422, Oct. 2023

  13. [13]

    Gaussian-state quantum-illumination receivers for target detection,

    S. Guha and B. I. Erkmen, “Gaussian-state quantum-illumination receivers for target detection,”Physical Review A—Atomic, Molecular , and Optical Physics, vol. 80, no. 5, p. 052310, Nov. 2009

  14. [14]

    Quantum illumination with Gaussian states,

    S.-H. Tanet al., “Quantum illumination with Gaussian states,”Phys. Rev. Lett., vol. 101, no. 25, p. 4, Dec. 2008, Art. no. 253601

  15. [15]

    Range limitations in microwave quantum radar,

    G. Pavan and G. Galati, “Range limitations in microwave quantum radar,”Remote Sens., vol. 16, no. 14, p. 2543, Jul. 2024

  16. [16]

    Evaluating the detection range of microwave quantum illumination radar,

    R. Weiet al., “Evaluating the detection range of microwave quantum illumination radar,”IET Radar , Sonar Navigat., vol. 17, no. 11, pp. 1664–1673, Aug. 2023

  17. [17]

    On the utility of quantum entanglement for joint communication and instantaneous detection,

    Y . Yao and S. A. Jafar, “On the utility of quantum entanglement for joint communication and instantaneous detection,”IEEE Trans. Commun., pp. 1–1, 2025

  18. [18]

    Quantum integrated sensing and communication via entanglement,

    Y .-C. Liuet al., “Quantum integrated sensing and communication via entanglement,”Phys. Rev. Lett., vol. 22, no. 3, p. 034051, Sep. 2024

  19. [19]

    Integrated distributed sensing and quantum communication networks,

    Y . Xuet al., “Integrated distributed sensing and quantum communication networks,”Research, vol. 7, p. 0416, Aug. 2024

  20. [20]

    Joint quantum communication and sensing,

    S.-Y . Wanget al., “Joint quantum communication and sensing,” inProc. IEEE Inf. Theory Workshop (ITW), Nov. 2022, pp. 506–511

  21. [21]

    Joint communication and sensing over the lossy bosonic quantum channel,

    P. Munar-Vallespir and J. Nötzel, “Joint communication and sensing over the lossy bosonic quantum channel,” inProc. IEEE 10th World F orum Internet Things (WF-IoT), Nov. 2024, pp. 1–6

  22. [22]

    Joint communication and eavesdropper detection on the lossy bosonic channel,

    P. Munar-Vallespir, J. Nötzel, and F. Seitz, “Joint communication and eavesdropper detection on the lossy bosonic channel,” inProc. IEEE Global Commun. Conf. (GLOBECOM), Dec. 2024, pp. 3473–3478

  23. [23]

    Engineering constraints and application regimes of quantum radar,

    F. Bischeltsriederet al., “Engineering constraints and application regimes of quantum radar,”IEEE Trans. Radar Syst., vol. 2, pp. 197–214, Feb. 2024

  24. [24]

    S. P. Boyd and L. Vandenberghe,Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004. 21

  25. [25]

    Hjørungnes,Complex-Valued Matrix Derivatives: With Applications in Signal Processing and Communications

    A. Hjørungnes,Complex-Valued Matrix Derivatives: With Applications in Signal Processing and Communications. Cambridge, U.K.: Cambridge Univ. Press, 2011

  26. [26]

    J. R. Magnus and H. Neudecker,Matrix Differential Calculus With Applications in Statistics and Econometrics. Hoboken, NJ, USA: Wiley, 1995

  27. [27]

    Receiver operating characteristics for a prototype quantum two-mode squeezing radar,

    D. Luonget al., “Receiver operating characteristics for a prototype quantum two-mode squeezing radar,”IEEE Trans. Aerosp. Electron. Syst., vol. 56, no. 3, pp. 2041–2060, Jun. 2020

  28. [28]

    M. A. Richards, J. A. Scheer, and W. A. Holm,Principles of Modern Radar: Basic Principles. Raleigh, NC, USA: SciTech, 2010

  29. [29]

    S. M. Kay,Fundamentals of Statistical Signal Processing: Estimation Theory. Upper Saddle River, NJ, USA: Prentice-Hall, 1993

  30. [30]

    Code design to optimize radar detection performance under accuracy and similarity constraints,

    A. De Maioet al., “Code design to optimize radar detection performance under accuracy and similarity constraints,”IEEE Trans. Signal Process., vol. 56, no. 11, pp. 5618–5629, Nov. 2008

  31. [31]

    Gaussian quantum information,

    C. Weedbrooket al., “Gaussian quantum information,”Rev. Mod. Phys., vol. 84, no. 2, pp. 621–669, May 2012

  32. [32]

    Millimeter-waves to terahertz SISO and MIMO continuous variable quantum key distribution,

    M. Zhang, S. Pirandola, and K. Delfanazari, “Millimeter-waves to terahertz SISO and MIMO continuous variable quantum key distribution,”IEEE Trans. Quant. Eng., vol. 4, pp. 1–10, Apr. 2023

  33. [33]

    Machine learning and time-series decomposition for phase extraction and symbol classification in CV-QKD,

    A. Alsaui, Y . Alghofaili, and D. Venkitesh, “Machine learning and time-series decomposition for phase extraction and symbol classification in CV-QKD,” Phys. Scr ., vol. 99, no. 7, p. 076008, Jun. 2024

  34. [34]

    Optical parametric amplification of spectrally incoherent pulses,

    C. Dorrer, “Optical parametric amplification of spectrally incoherent pulses,”J. Opt. Soc. Amer . B, vol. 38, no. 3, pp. 792–804, Feb. 2021

  35. [35]

    Quantentheorie des einatomigen idealen gases. zweite abhandlung,

    A. Einstein, “Quantentheorie des einatomigen idealen gases. zweite abhandlung,”Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physikalisch-mathematische Klasse, pp. 3–14, Jan. 1925

  36. [36]

    Detecting a target with quantum entanglement,

    G. Sorelliet al., “Detecting a target with quantum entanglement,”IEEE Aerosp. Electron. Syst. Mag., vol. 37, no. 5, pp. 68–90, Dec. 2021

  37. [37]

    The evaluation of the collision matrix,

    G.-C. Wick, “The evaluation of the collision matrix,”Phys. Rev., vol. 80, no. 2, pp. 268–272, Oct. 1950