Quantum computational resources and validation protocols for a three-mode non-Gaussian trilinear Hamiltonian

• URL: http://arxiv.org/abs/2609.10043v1
• Date: Wed, 09 Sep 2026 11:17:53 GMT
• Title: Quantum computational resources and validation protocols for a three-mode non-Gaussian trilinear Hamiltonian
• Abstract summary: We focus on a three-mode non-Gaussian trilinear Hamiltonian that has recently been realized in superconducting microwave platforms.<n>We investigate its ability to generate two key resources for quantum computation: multipartite entanglement and Wigner negativity.<n>We introduce a measurement-efficient protocol for the experimental validation of the Hamiltonian implementation without requiring full reconstruction of the Wigner function.
• Score: 39.146761527401424
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Gaussian interactions are a key ingredient for achieving universality in continuous-variable quantum computation, yet their experimental characterization and the validation of their correct implementation remain challenging tasks. In this work, we focus on a three-mode non-Gaussian trilinear Hamiltonian that has recently been realized in superconducting microwave platforms, and present a comprehensive theoretical analysis of the computational resources it generates, together with experimentally accessible protocols to validate their presence. We systematically investigate its ability to generate two key resources for quantum computation: multipartite entanglement and Wigner negativity. In particular, using displaced-parity Bell tests, we demonstrate the generation of nonlocal states and thereby provide an operational certification of multipartite entanglement in the non-Gaussian states produced by the dynamics. We further quantify the Wigner logarithmic negativity and benchmark it against that of established non-Gaussian resource states. Building on this resource-based characterization, we introduce a measurement-efficient protocol for the experimental validation of the Hamiltonian implementation without requiring full reconstruction of the Wigner function. The protocol combines the measurement of zero-variance observables (nullifiers and stabilizers) with a limited number of targeted phase-space measurements, leading to a drastic reduction of the experimental overhead.

Related papers

• Learning Lindblad Dynamics of a Superconducting Quantum Processor [0.5517748509836581]
  LIMINAL is a framework for testing and selecting minimal adequate Lindblad models.<n>We apply LIMINAL to a five-qubit superconducting processor, identifying an idling model with three-local Hamiltonian terms and two-local dissipation.<n>We further apply it to recover driven single-qubit Hamiltonians, reconstruct a shaped-pulse Hamiltonian without assuming an analytic pulse model, and test hidden-qubit extensions in coupler-mediated dynamics.
  arXiv  Detail & Related papers  (2026-05-01T13:00:12Z)
• Experimental demonstration of boson sampling as a hardware accelerator for monte carlo integration [0.0]
  We present an experimental demonstration of boson sampling as a hardware accelerator for Monte Carlo integration.<n>We implement a proof-of-principle experiment on a programmable photonic platform to compute the first-order energy correction of a three-boson system.
  arXiv  Detail & Related papers  (2025-09-29T18:59:34Z)
• 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)
• Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations [44.99833362998488]
  This work presents a practical numerical assessment of a hybrid quantum-classical approach to CFD based on the Lattice Boltzmann Method (LBM)<n>We evaluate this method on three benchmark cases featuring different boundary conditions, periodic, bounceback, and moving wall.<n>Our results confirm the validity of the approach, achieving median error fidelities on the order of $10-3$ and success probabilities sufficient for practical quantum state sampling.
  arXiv  Detail & Related papers  (2025-04-17T15:41:48Z)
• Mitigating shot noise in local overlapping quantum tomography with semidefinite programming [0.0]
  Reduced density matrices (RDMs) are fundamental in quantum information processing.<n>We propose a method to mitigate physicality noise by re-enforcing certain constraints on RDMs.<n>Our approach yields, on average, tighter bounds for the same number of measurements compared to tomography without compatibility constraints.
  arXiv  Detail & Related papers  (2025-01-30T18:17:13Z)
• Correcting for finite statistics effects in a quantum steering experiment [33.013102271622614]
  We introduce a one-sided device-independent protocol that corrects for apparent signaling effects in experimental probability distributions.<n>Our results show a significantly higher probability of violation than existing state-of-the-art inequalities.<n>This work demonstrates the power of semidefinite programming for entanglement verification and brings quantum networks closer to practical applications.
  arXiv  Detail & Related papers  (2023-05-23T14:39:08Z)
• Importance sampling for stochastic quantum simulations [68.8204255655161]
  We introduce the qDrift protocol, which builds random product formulas by sampling from the Hamiltonian according to the coefficients. We show that the simulation cost can be reduced while achieving the same accuracy, by considering the individual simulation cost during the sampling stage. Results are confirmed by numerical simulations performed on a lattice nuclear effective field theory.
  arXiv  Detail & Related papers  (2022-12-12T15:06:32Z)
• Characterizing Multipartite Non-Gaussian Entanglement for Three-Mode Spontaneous Parametric Down-Conversion Process [13.641728072655278]
  We present an experimentally practical method to characterize continuous-variable multipartite non-Gaussian entanglement. We show that our method can be readily used to confirm fully inseparable tripartite non-Gaussian entangled states.
  arXiv  Detail & Related papers  (2022-07-14T03:22:22Z)
• Efficient and robust estimation of many-qubit Hamiltonians [0.0]
  Characterizing the interactions and dynamics of quantum mechanical systems is an essential task in development of quantum technologies. We propose an efficient protocol for characterizing the underlying Hamiltonian dynamics and the noise of a multi-qubit device. This protocol can be used to parallelize to learn the Hamiltonian, rendering it applicable for the characterization of both current and future quantum devices.
  arXiv  Detail & Related papers  (2022-05-19T13:52:32Z)
• Generation and structuring of multipartite entanglement in Josephson parametric system [0.0]
  vacuum state of a quantum field may act as a key element for the generation of multipartite quantum entanglement. We achieve generation of genuine tripartite entangled state and its control by the use of the phase difference between two continuous pump tones. Our scheme provides a comprehensive control toolbox for the entanglement structure and allows us to demonstrate, for first time to our knowledge, genuine quadripartite entanglement of microwave modes.
  arXiv  Detail & Related papers  (2022-03-17T11:16:32Z)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)
• Simulating nonnative cubic interactions on noisy quantum machines [65.38483184536494]
  We show that quantum processors can be programmed to efficiently simulate dynamics that are not native to the hardware. On noisy devices without error correction, we show that simulation results are significantly improved when the quantum program is compiled using modular gates.
  arXiv  Detail & Related papers  (2020-04-15T05:16:24Z)

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.