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We present a quantum algorithm for implementing $\phi^4$ lattice scalar field theory on qubit computers. The field is represented in the discretized field amplitude basis. The number of qubits and elementary gates required by the…

量子物理 · 物理学 2023-03-08 Andy C. Y. Li , Alexandru Macridin , Stephen Mrenna , Panagiotis Spentzouris

We propose a framework for simulating the real-time dynamics of quantum field theories (QFTs) using continuous-variable quantum computing (CVQC). Focusing on ($1+1$)-dimensional $\varphi^4$ scalar field theory, the approach employs the…

量子物理 · 物理学 2025-09-03 Steven Abel , Michael Spannowsky , Simon Williams

Quantum field theory provides the framework for the most fundamental physical theories to be confirmed experimentally and has enabled predictions of unprecedented precision. However, calculations of physical observables often require great…

高能物理 - 理论 · 物理学 2019-01-04 Stephen P. Jordan , Keith S. M. Lee , John Preskill

Quantum field theory reconciles quantum mechanics and special relativity, and plays a central role in many areas of physics. We develop a quantum algorithm to compute relativistic scattering probabilities in a massive quantum field theory…

量子物理 · 物理学 2015-06-03 Stephen P. Jordan , Keith S. M. Lee , John Preskill

We present a quantum computational framework using Hamiltonian Truncation (HT) for simulating real-time scattering processes in $(1+1)$-dimensional scalar $\phi^4$ theory. Unlike traditional lattice discretisation methods, HT approximates…

量子物理 · 物理学 2025-05-08 James Ingoldby , Michael Spannowsky , Timur Sypchenko , Simon Williams , Matthew Wingate

Efficient digitization is required for quantum simulations of gauge theories. Schemes based on discrete subgroups use fewer qubits at the cost of systematic errors. We systematize this approach by deriving a single plaquette action for…

高能物理 - 格点 · 物理学 2021-01-04 Yao Ji , Henry Lamm , Shuchen Zhu

The paper studies the quantum action for the four-dimensional real $\phi^4$-theory in the case of a general formulation using the background field method. The three-loop renormalization is performed with the usage of a cutoff regularization…

高能物理 - 理论 · 物理学 2024-10-29 A. V. Ivanov

Based on recently introduced efficient quantum state tomography schemes, we propose a scalable method for the tomography of unitary processes and the reconstruction of one-dimensional local Hamiltonians. As opposed to the exponential…

量子物理 · 物理学 2015-04-30 M. Holzäpfel , T. Baumgratz , M. Cramer , M. B. Plenio

We apply a notion of static renormalization to the preparation of entangled states for quantum computing, exploiting ideas from percolation theory. Such a strategy yields a novel way to cope with the randomness of non-deterministic quantum…

量子物理 · 物理学 2009-11-13 K. Kieling , T. Rudolph , J. Eisert

We present a quantum computing algorithm for the smoothed particle hydrodynamics (SPH) method. We use a normalization procedure to encode the SPH operators and domain discretization in a quantum register. We then perform the SPH summation…

量子物理 · 物理学 2025-09-26 Rhonda Au-Yeung , Anthony J. Williams , Viv M. Kendon , Steven J. Lind

We provide practical simulation methods for scalar field theories on a quantum computer that yield improved asymptotics as well as concrete gate estimates for the simulation and physical qubit estimates using the surface code. We achieve…

General positivity constraints linking various powers of observables in energy eigenstates can be used to sharply locate acceptable regions for the energy eigenvalues, provided that efficient recursive methods are available to calculate the…

高能物理 - 理论 · 物理学 2023-12-22 Zane Ozzello , Yannick Meurice

We explore data reduction and correction steps and processed data reproducibility in the emerging single crystal total scattering based technique of three-dimensional differential atomic pair distribution function (3D-$\Delta$PDF) analysis.…

A classical computer simulating Schrodinger dynamics of a quantum system requires resources which scale exponentially with the size of the system, and is regarded as inefficient for such purposes. However, a quantum computer made up of a…

量子物理 · 物理学 2015-06-16 Ravi Shankar , Swathi S. Hegde , T. S. Mahesh

We present a use case of practical utility of quantum computing by employing a quantum computer in the investigation of the linear H$_4$ molecule as a simple model to comply with the requirements of singlet fission. We leverage a series of…

量子物理 · 物理学 2024-06-06 Daniel Claudino , Bo Peng , Karol Kowalski , Travis S. Humble

In this work, we report on a novel quantum state reconstruction process based on the disentanglement algorithm. Using variational quantum circuits, we disentangle the quantum state to a product of computational zero states. Inverse…

量子物理 · 物理学 2024-11-08 Juan Yao

Efficient digitization is required for quantum simulations of gauge theories. Schemes based on discrete subgroups use a smaller, fixed number of qubits at the cost of systematic errors. We systematize this approach by deriving the single…

高能物理 - 格点 · 物理学 2023-06-12 Yao Ji , Henry Lamm , Shuchen Zhu

Renormalization group ideas and effective operators are used to efficiently determine localized unitaries for preparing the ground states of non-interacting scalar field theories on digital quantum devices. With these methods, classically…

量子物理 · 物理学 2020-12-30 Natalie Klco , Martin J. Savage

This article introduces a novel approach to perform the simulation of a single qubit quantum algorithm using laser beams. Leveraging the polarization states of photonic qubits, and inspired by variational quantum eigensolvers, we develop a…

We develop a non-perturbative approach to simulating scattering on classical and quantum computers, in which the initial and final states contain a fixed number of composite particles. The construction is designed to mimic a particle…

量子物理 · 物理学 2023-10-30 Michael Kreshchuk , James P. Vary , Peter J. Love
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