Quantum Phase Estimation Beyond the Gaussian Limit

• URL: http://arxiv.org/abs/2508.13046v1
• Date: Mon, 18 Aug 2025 16:03:28 GMT
• Title: Quantum Phase Estimation Beyond the Gaussian Limit
• Authors: Kimin Park, Tanjung Krisnanda, Yvonne Gao, Radim Filip,
• Abstract summary: A critical milestone beyond the standard quantum limit is surpassing the Gaussian bound.<n>Certain non-Gaussian states can outperform this Gaussian bound within an intermediate energy range.<n>This work sheds light on the fundamental impact of non-Gaussianity and asymmetry on metrological tasks.
• Score: 0.3495246564946556
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum metrology aims to enhance measurement precision beyond the standard quantum limit (SQL), the benchmark set by classical resources, enabling advances in sensing, imaging, and fundamental physics. A critical milestone beyond the SQL is surpassing the Gaussian bound -- the fundamental precision limit achievable with any Gaussian state, such as optimally squeezed states. Certain non-Gaussian states, specifically asymmetric superpositions of coherent states (SCS) and superpositions of a vacuum and a Fock state (ON states), can outperform this Gaussian bound within an intermediate energy range. In particular, asymmetric SCS emerge as a highly practical resource for near-term quantum sensing architectures operating beyond the Gaussian limit due to their efficient preparation and processing via a constant-complexity protocol. Our comprehensive analysis under realistic loss, noise, and detection schemes quantifies the critical trade-off between achievable precision and the operational range of the non-Gaussian advantage. This work sheds light on the fundamental impact of non-Gaussianity and asymmetry on metrological tasks, and offers insights on how to leverage such resources in realistic near-term quantum enhanced sensors beyond the Gaussian limit.

Related papers

• Continual Quantum Architecture Search with Tensor-Train Encoding: Theory and Applications to Signal Processing [68.35481158940401]
  CL-QAS is a continual quantum architecture search framework.<n>It mitigates challenges of costly encoding amplitude and forgetting in variational quantum circuits.<n>It achieves controllable robustness expressivity, sample-efficient generalization, and smooth convergence without barren plateaus.
  arXiv  Detail & Related papers  (2026-01-10T02:36:03Z)
• Metrological Sensitivity beyond Gaussian Limits with Cubic Phase States [2.7961972519572442]
  We show that cubic phase states can surpass the phase-sensing sensitivity of all Gaussian states at equal average photon number.<n>We identify optimal measurement strategies and show that several experimentally relevant preparation schemes surpass Gaussian limits.
  arXiv  Detail & Related papers  (2025-12-03T13:18:25Z)
• Non-Gaussian Dissipative Quantum Thermometry Beyond Gaussian Bounds [0.0]
  We establish bounds on the quantum Fisher information (QFI) for temperature estimation using non-Gaussian states.<n>Our results not only clarify the quantum thermometric advantage of non-Gaussianity but also chart a realistic pathway toward harnessing it in noisy quantum technologies.
  arXiv  Detail & Related papers  (2025-12-03T12:30:43Z)
• Task-Oriented Gaussian Optimization for Non-Gaussian Resources in Continuous-Variable Quantum Computation [0.0]
  In continuous-variable systems, non-Gaussian resources are essential for achieving universal quantum computation.<n>We present a Gaussian optimization protocol that systematically refines the non-Gaussian resources.<n>Our protocol offers an experimentally feasible approach to enhance gate fidelity in magic-state-based quantum computation.
  arXiv  Detail & Related papers  (2025-09-19T08:22:35Z)
• Beyond Stellar Rank: Control Parameters for Scalable Optical Non-Gaussian State Generation [0.21670084965090575]
  Advanced quantum technologies rely on non-Gaussian states of light, essential for universal quantum computation, fault-tolerant error correction, and quantum sensing.<n>We introduce the emphnon-Gaussian control parameters, a continuous and operational measure that goes beyond stellar rank.<n>We develop a universal optimization method that reduces photon-number requirements and greatly enhances success probabilities while preserving state quality.
  arXiv  Detail & Related papers  (2025-09-08T00:36:17Z)
• Calibration of Quantum Devices via Robust Statistical Methods [45.464983015777314]
  We numerically analyze advanced statistical methods for Bayesian inference against the state-of-the-art in quantum parameter learning.<n>We show advantages of these approaches over existing ones, namely under multi-modality and high dimensionality.<n>Our findings have applications in challenging quantumcharacterization tasks namely learning the dynamics of open quantum systems.
  arXiv  Detail & Related papers  (2025-07-09T15:22:17Z)
• Quantum sensing of displacements with stabilized GKP states [41.94295877935867]
  We show how protocols for the stabilization of Gottesman-Kitaev-Preskill states can be used for the estimation of two-quadrature displacement sensing.<n>Thanks to the stabilization, this sensor is backaction evading and can function continuously without reset, making it well suited for the detection of itinerant signals.
  arXiv  Detail & Related papers  (2025-06-25T17:18:50Z)
• Entanglement renormalization circuits for $2d$ Gaussian Fermion States [0.0]
  This work introduces a quantum circuit compression algorithm for Gaussian fermion states based on the multi-scale entanglement renormalization ansatz (MERA)<n>The algorithm is shown to accurately capture area-law entangled states including topologically trivial insulators, Chern insulators, and critical Dirac semimetals.<n>We also develop a novel fermion-to-qubit encoding scheme, based on an expanding $2d$ topological order, that enables implementing fermionic rotations via qubit Pauli rotations with constant Pauli weight independent of system size.
  arXiv  Detail & Related papers  (2025-06-04T17:44:17Z)
• Hierarchical Verification of Non-Gaussian Coherence in Bosonic Quantum States [0.0]
  Non-Gaussianity, a distinctive characteristic of bosonic quantum states, is pivotal in advancing quantum networks.<n>We introduce a hierarchical framework comprising absolute, relative, and qubit-specific thresholds to assess the non-Gaussianity of local coherences.
  arXiv  Detail & Related papers  (2025-01-23T19:00:20Z)
• Assessing non-Gaussian quantum state conversion with the stellar rank [41.94295877935867]
  State conversion is a fundamental task in quantum information processing.<n>We introduce a framework for assessing approximate Gaussian state conversion.<n>We derive bounds for Gaussian state conversion under both approximate and probabilistic conditions.
  arXiv  Detail & Related papers  (2024-10-31T08:13:43Z)
• Stochastic waveform estimation at the fundamental quantum limit [9.313319759875116]
  We derive the fundamental precision limit, the extended channel quantum Cram'er-Rao bound, and the optimal protocol that attains it. We discuss how this non-Gaussian protocol could improve searches for quantum gravity, gravitational waves, and axionic dark matter.
  arXiv  Detail & Related papers  (2024-04-22T04:31:56Z)
• Comparing Classical and Quantum Ground State Preparation Heuristics [44.99833362998488]
  Ground state preparation (GSP) is a crucial component in GSEE algorithms. In this study, we investigated whether in those cases quantum GSP methods could improve the overlap values compared to Hartree-Fock.
  arXiv  Detail & Related papers  (2024-01-10T18:16:36Z)
• Adaptive Phase Estimation with Squeezed Vacuum Approaching the Quantum Limit [0.0]
  Phase estimation plays a central role in communications, sensing, and information processing. Quantum correlated states, such as squeezed states, enable phase estimation beyond the shot-noise limit. Physical realizations of optimal quantum measurements for optical phase estimation with quantum-correlated states are still unknown.
  arXiv  Detail & Related papers  (2023-12-12T19:27:04Z)
• Bosonic field digitization for quantum computers [62.997667081978825]
  We address the representation of lattice bosonic fields in a discretized field amplitude basis. We develop methods to predict error scaling and present efficient qubit implementation strategies.
  arXiv  Detail & Related papers  (2021-08-24T15:30:04Z)

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.