Quantum Illumination with Symmetry-Constrained Random Unitaries

• URL: http://arxiv.org/abs/2606.15586v1
• Date: Sun, 14 Jun 2026 04:14:12 GMT
• Title: Quantum Illumination with Symmetry-Constrained Random Unitaries
• Abstract summary: Quantum illumination provides a quantum advantage in detecting weakly reflecting objects embedded in a noisy environment.<n>We investigate this advantage using Haar-random probe states constrained to symmetry-resolved subspaces.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum illumination provides a quantum advantage in detecting weakly reflecting objects embedded in a noisy environment, even when environmental noise destroys most of the initial entanglement. We investigate this advantage using Haar-random probe states constrained to symmetry-resolved subspaces. Employing tools from quantum channel discrimination and asymptotic hypothesis testing, we derive the discrimination exponents associated with Haar-random probe ensembles and identify the role of symmetry in determining their performance. We show that typical states drawn from fixed-charge sectors achieve the same asymptotic quantum-illumination advantage as maximally entangled probes. In particular, we show that the effective thermal-noise suppression and the corresponding Chernoff exponent are governed by the dimension of the accessible symmetry sector. Our results reveal that the operational resource underlying quantum illumination can be generalized from fine-tuned structure of a specific probe state to the existence of a large symmetry-protected correlation subspace. These findings establish a direct connection between quantum illumination, symmetry-resolved typicality, and quantum channel discrimination, and demonstrate that near-optimal quantum hypothesis testing resources can emerge naturally from generic many-body quantum states constrained by conservation laws.

Related papers

• Symmetry Constrained Quantum Error Mitigation for the Schwinger Model [39.146761527401424]
  We exploit the parity and fermion-number symmetries of a gauge theory under depolarising noise.<n>We investigate symmetry verification under digital quantum simulation.
  arXiv  Detail & Related papers  (2026-08-21T13:49:11Z)
• Operational interpretation of the reverse sandwiched Renyi divergences in composite quantum hypothesis testing [40.82628972269358]
  We study the Hoeffding regime of composite quantum hypothesis testing, in which each hypothesis is specified by a sequence of sets of quantum states.<n>We find that passing from simple to composite hypotheses can fundamentally change which quantum divergence determines the operational limits of discrimination.
  arXiv  Detail & Related papers  (2026-05-04T04:02:55Z)
• Hysteretic squashed entanglement in many-body quantum systems [42.085941481155295]
  Entanglement in many-body quantum systems is distributed across spatial regions.<n>We propose hysteretic entanglement $T_sq$, a conditional entanglement that measures the genuine quantum correlations between two subregions.<n>We show that $T_sq$ can detect genuine quantum correlations across both adjacent and long-range subsystems.
  arXiv  Detail & Related papers  (2026-03-10T17:00:49Z)
• Experimental demonstration of optimal measurement for unambiguously discriminating asymmetric qudit states [0.0]
  We establish a projective measurement scheme that optimally discriminates multiple asymmetric qudit states.<n>Our results have broad applications in high-dimensional quantum state-based quantum information processing.
  arXiv  Detail & Related papers  (2026-03-09T23:45:32Z)
• Quantum Advantage in Distributed Sensing with Noisy Quantum Networks [37.23288214515363]
  It is critically important to analyze the achievability of quantum advantage under realistic imperfections.<n>We show that quantum advantage in distributed sensing can be achieved with noisy quantum networks which can only distribute noisy entangled states.
  arXiv  Detail & Related papers  (2024-09-25T16:55:07Z)
• Symmetry-protection Zeno phase transition in monitored lattice gauge theories [0.0]
  We show the existence of a sharp transition, triggered by the measurement rate, between a protected gauge-theory regime and an irregular regime.<n>Our results shed light on the dissipative criticality of strongly-interacting, highly-constrained quantum systems.
  arXiv  Detail & Related papers  (2024-05-28T18:18:06Z)
• Unraveling the emergence of quantum state designs in systems with symmetry [15.699822139827916]
  We study the emergence of state designs from the random generator states exhibiting symmetries. We find faster convergence of the trace distance during the early time evolution in comparison to the cases when the symmetry is broken. We expect our findings to pave the way for further exploration of deep thermalization and equilibration of closed and open quantum many-body systems.
  arXiv  Detail & Related papers  (2024-02-14T05:35:03Z)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [43.80709028066351]
  Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system.<n>This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
  arXiv  Detail & Related papers  (2023-10-04T09:51:00Z)
• Performance of coherent-state quantum target detection in the context of asymmetric hypothesis testing [0.0]
  Quantum-inspired designs of quantum lidar/radar could be studied in the context of asymmetric hypothesis testing. We discuss that, for typical finite-size regimes, the second- and third-order expansions associated with this approach are not sufficient to prove quantum advantage.
  arXiv  Detail & Related papers  (2021-09-02T15:09:58Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• Entanglement detection in quantum many-body systems using entropic uncertainty relations [0.0]
  We study experimentally accessible lower bounds on entanglement measures based on entropic uncertainty relations. We derive an improved entanglement bound for bipartite systems, which requires measuring joint probability distributions in only two different measurement settings per subsystem.
  arXiv  Detail & Related papers  (2021-01-21T20:50:11Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.