Certification of genuine non-Gaussian entanglement
- URL: http://arxiv.org/abs/2604.22295v1
- Date: Fri, 24 Apr 2026 07:25:54 GMT
- Title: Certification of genuine non-Gaussian entanglement
- Abstract summary: Entanglement is a key resource for many quantum applications.<n>We characterize entanglement in the context of Gaussian and non-Gaussian processes.<n>We apply this framework to develop a certification method that connects entanglement theory with quantum non-Gaussianity.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Entanglement is a key resource for many quantum applications. Understanding fundamental properties of entangled states is an important step towards their practical exploitation. We characterize entanglement in the context of Gaussian and non-Gaussian processes and identify entangled states that cannot be produced by any Gaussian evolution acting on separable states. This distinction exposes intrinsic limitations of Gaussian operations and highlights the role of non-Gaussian operations as an important resource. We apply this framework to develop a certification method that connects entanglement theory with quantum non-Gaussianity - an advanced quantum feature that is essential for several quantum applications. Our approach tailors the certification to experimentally relevant states that can be produced in current quantum optics experiments. We demonstrate this certification for recognizing the genuine non-Gaussian entanglement of various entangled Fock states and hybrid entangled states.
Related papers
- Balancing Expressivity and Learnability in Quantum Kernel Bandit Optimization [50.880384999888044]
We develop misspecified GP bandit algorithms and derive regret bounds that characterize the trade-off between approximation error and information gain.<n>Our methods outperform full quantum kernels in sample efficiency, while substantially reducing computational overhead.
arXiv Detail & Related papers (2026-07-01T15:38:00Z) - Detecting genuine non-Gaussian entanglement [0.0]
Non-Gaussian entanglement is a central challenge for advancing quantum information processing, photonic quantum computing, and metrology.<n>Here, we put forward continuous-variable counterparts of the recently introduced entanglement criteria based on moments of the partially transposed state.<n>Our multicopy method enables the detection of genuine non-Gaussian entanglement for various relevant state families overlooked by standard approaches.
arXiv Detail & Related papers (2025-04-22T12:22:30Z) - Adaptive Non-Gaussian Quantum State Engineering [0.0]
Non-Gaussian quantum states of bosons are a key resource in quantum information science.<n>In this work, we extend on existing passive architectures and explore a broad set of adaptive schemes.
arXiv Detail & Related papers (2025-02-20T19:04:55Z) - 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) - Local Purity Distillation in Quantum Systems: Exploring the Complementarity Between Purity and Entanglement [41.94295877935867]
We introduce and develop the framework of Gibbs-preserving local operations and classical communication.<n>We focus on systems with fully degenerate local Hamiltonians, where local cooling aligns with the extraction of local purity.<n>Our findings open doors to various practical applications, including techniques for entanglement detection and estimation.
arXiv Detail & Related papers (2023-11-20T14:58:31Z) - Certification of non-Gaussian Einstein-Podolsky-Rosen Steering [2.9290107337630613]
We present an efficient non-Gaussian steering criterion based on the high-order observables.
We propose a feasible scheme to create multi-component cat states with tunable size.
Our work reveals the fundamental characteristics of non-Gaussianity and quantum correlations.
arXiv Detail & Related papers (2023-08-26T12:57:22Z) - Simulating Gaussian boson sampling quantum computers [68.8204255655161]
We briefly review recent theoretical methods to simulate experimental Gaussian boson sampling networks.
We focus mostly on methods that use phase-space representations of quantum mechanics.
A brief overview of the theory of GBS, recent experiments and other types of methods are also presented.
arXiv Detail & Related papers (2023-08-02T02:03:31Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - Metrological detection of entanglement generated by non-Gaussian
operations [0.0]
Entanglement and non-Gaussianity are physical resources essential for quantum-optics protocols.
Non-Gaussian entanglement is indispensable for quantum-computing advantage.
We propose a simple protocol for witnessing entanglement in an important class of non-Gaussian entangled states: photon-subtracted states.
arXiv Detail & Related papers (2023-01-10T11:22:59Z) - Theory of Quantum Generative Learning Models with Maximum Mean
Discrepancy [67.02951777522547]
We study learnability of quantum circuit Born machines (QCBMs) and quantum generative adversarial networks (QGANs)
We first analyze the generalization ability of QCBMs and identify their superiorities when the quantum devices can directly access the target distribution.
Next, we prove how the generalization error bound of QGANs depends on the employed Ansatz, the number of qudits, and input states.
arXiv Detail & Related papers (2022-05-10T08:05:59Z) - Deterministic Gaussian conversion protocols for non-Gaussian single-mode
resources [58.720142291102135]
We show that cat and binomial states are approximately equivalent for finite energy, while this equivalence was previously known only in the infinite-energy limit.
We also consider the generation of cat states from photon-added and photon-subtracted squeezed states, improving over known schemes by introducing additional squeezing operations.
arXiv Detail & Related papers (2022-04-07T11:49:54Z) - Improved Quantum Algorithms for Fidelity Estimation [77.34726150561087]
We develop new and efficient quantum algorithms for fidelity estimation with provable performance guarantees.
Our algorithms use advanced quantum linear algebra techniques, such as the quantum singular value transformation.
We prove that fidelity estimation to any non-trivial constant additive accuracy is hard in general.
arXiv Detail & Related papers (2022-03-30T02:02:16Z) - Quantum Non-Gaussianity From An Indefinite Causal Order of Gaussian
Operations [0.0]
Quantum Non-Gaussian states are considered as a useful resource for many tasks in quantum information processing.
We are addressing to be very useful to engineer highly non-Gaussian states from operations whose order is controlled by degrees of freedom of a control qubit.
arXiv Detail & Related papers (2021-08-30T09:20:17Z)
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.