Single-shot Quantum State Classification via Nonlinear Quantum Amplification

• URL: http://arxiv.org/abs/2601.12168v1
• Date: Sat, 17 Jan 2026 21:10:57 GMT
• Title: Single-shot Quantum State Classification via Nonlinear Quantum Amplification
• Authors: Elif Cüce, Saeed A. Khan, Boris Mesits, Michael Hatridge, Hakan E. Türeci,
• Abstract summary: We show that single-shot quantum state classification can benefit from operating a quantum amplifier outside the linear regime.<n>By introducing performance metrics tailored to state discrimination, we identify operating regimes in which nonlinear amplification provides a measurable advantage.
• Score: 0.20878272814614096
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum amplifiers are intrinsically nonlinear systems whose performance limits are set by quantum mechanics. In quantum measurement, amplifier operation is conventionally optimized in the linear regime by maximizing signal-to-noise ratio, an objective that is well-suited to parameter estimation but is typically insufficient for more general tasks such as arbitrary quantum state discrimination. Here we show that single-shot quantum state classification can benefit from operating a quantum amplifier outside the linear regime, when the measurement chain is optimized end-to-end for a task-specific cost function. We analyze a realistic superconducting readout architecture that includes state preparation, cryogenic nonlinear amplification, and room-temperature detection with finite noise. By introducing performance metrics tailored to state discrimination, we identify operating regimes in which nonlinear amplification provides a measurable advantage and clarify the trade-offs that ultimately limit classification fidelity. Our results propose the utility of practical nonlinear quantum amplifiers for quantum state discrimination, and are the first step in a broader research program aimed at developing a general framework for end-to-end, resource-limited optimization of nonlinear quantum amplifiers for such quantum information processing applications.

Related papers

• Provably Robust Training of Quantum Circuit Classifiers Against Parameter Noise [49.97673761305336]
  Noise remains a major obstacle to achieving reliable quantum algorithms.<n>We present a provably noise-resilient training theory and algorithm to enhance the robustness of parameterized quantum circuit classifiers.
  arXiv  Detail & Related papers  (2025-05-24T02:51:34Z)
• Enhanced quantum frequency estimation by nonlinear scrambling [41.94295877935867]
  We show that dynamically encoding an unknown frequency in a nonlinear quantum electromagnetic field can significantly improve frequency estimation.<n>We quantify this effect using the Wigner-Yanase skew information, which measures the degree of noncommutativity in the Hamiltonian structure.
  arXiv  Detail & Related papers  (2025-03-03T19:00:01Z)
• Improved amplitude amplification strategies for the quantum simulation of classical transport problems [41.94295877935867]
  We show that oblivious amplitude amplification when applied to non-unitary dynamics leads to a distortion of the quantum state and to an accompanying error in the quantum update.<n>We also propose an amplification strategy that helps mitigate the distortion error, while still securing an enhanced success probability.
  arXiv  Detail & Related papers  (2025-02-25T15:17:03Z)
• A neural processing approach to quantum state discrimination [0.2796197251957245]
  nonlinear processing of quantum signals is often associated with non-idealities and excess noise.<n>We present a framework to uncover general quantum signal processing principles of a broad class of bosonic quantum nonlinear processors.<n>Our work provides pathways to utilize nonlinear quantum systems as general devices, and enables a new paradigm for nonlinear quantum information processing.
  arXiv  Detail & Related papers  (2024-09-05T17:58:27Z)
• Retrieving non-linear features from noisy quantum states [11.289924445850328]
  In this paper, we analyze the feasibility and efficiency of extracting high-order moments from noisy states. We first show that there exists a quantum protocol capable of accomplishing this task if and only if the underlying noise channel is invertible. Our work contributes to a deeper understanding of how quantum noise could affect high-order information extraction and provides guidance on how to tackle it.
  arXiv  Detail & Related papers  (2023-09-20T15:28:18Z)
• Near-Term Distributed Quantum Computation using Mean-Field Corrections and Auxiliary Qubits [77.04894470683776]
  We propose near-term distributed quantum computing that involve limited information transfer and conservative entanglement production. We build upon these concepts to produce an approximate circuit-cutting technique for the fragmented pre-training of variational quantum algorithms.
  arXiv  Detail & Related papers  (2023-09-11T18:00:00Z)
• Optimizing quantum noise-induced reservoir computing for nonlinear and chaotic time series prediction [2.5427629797261297]
  We make advancements to the quantum noise-induced reservoir, in which reservoir noise is used as a resource to generate expressive, nonlinear signals. We show that with only a single noise model and small memory capacities, excellent simulation results were obtained on nonlinear benchmarks.
  arXiv  Detail & Related papers  (2023-03-09T18:40:03Z)
• Anticipative measurements in hybrid quantum-classical computation [68.8204255655161]
  We present an approach where the quantum computation is supplemented by a classical result. Taking advantage of its anticipation also leads to a new type of quantum measurements, which we call anticipative. In an anticipative quantum measurement the combination of the results from classical and quantum computations happens only in the end.
  arXiv  Detail & Related papers  (2022-09-12T15:47:44Z)
• Quantum-limited amplification without instability [0.0]
  We consider an alternate general strategy where quantum-limited, large-gain amplification is achieved without any proximity to a dynamical instability.<n>We focus on a particular realization that allows us to realize an ideal single-mode squeezing operation in transmission.
  arXiv  Detail & Related papers  (2022-07-29T18:12:58Z)
• Noiseless linear amplification in quantum target detection using Gaussian states [0.0]
  Quantum target detection aims to utilise quantum technologies to achieve performances in target detection not possible through purely classical means. This paper considers the employment of a noiseless linear amplifier at the detection stage of a quantum illumination-based quantum target detection protocol.
  arXiv  Detail & Related papers  (2022-01-07T14:50:42Z)
• Designing Kerr Interactions for Quantum Information Processing via Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
  static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes. Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation. Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
  arXiv  Detail & Related papers  (2021-07-14T15:11:05Z)

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.