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We consider the possibility of performing linear optical quantum computation making use of extra photonic degrees of freedom. In particular we focus on the case where we use photons as quadbits. The basic 2-quadbit cluster state is a…

量子物理 · 物理学 2015-05-13 Jaewoo Joo , Peter L. Knight , Jeremy L. O'Brien , Terry Rudolph

Constrained symplectic quantization is a functional formulation of quantum field theory in which quantum fluctuations are sampled through a deterministic Hamiltonian flow in an auxiliary intrinsic time $\tau$. In this paper we extend the…

高能物理 - 理论 · 物理学 2026-05-27 Francesco Scardino , Martina Giachello , Giacomo Gradenigo

We present a proof of concept for solving a 1+1D complex-valued, delay partial differential equation (PDE) that emerges in the study of waveguide quantum electrodynamics (QED) by adapting the finite-difference time-domain (FDTD) method. The…

数学软件 · 计算机科学 2018-11-19 Yao-Lung L. Fang

Standard quantum error correction (QEC) models typically assume discrete, Markovian noise, obscuring the continuous quantum nature of physical environments. In this manuscript, we investigate the fundamental limits of an actively corrected…

量子物理 · 物理学 2026-04-28 E. Novais , A. H. Castro-Neto

We present a comprehensive and self-contained simplified review of the quantum computing scheme of Phys. Rev. Lett. 98, 190504 (2007), which features a 2-D nearest neighbor coupled lattice of qubits, a threshold error rate approaching 1%,…

量子物理 · 物理学 2015-03-13 Austin G. Fowler , Ashley M. Stephens , Peter Groszkowski

In these lectures, I survey a number of applications of light-front methods to hadron and nuclear physics phenomenology and dynamics, Light-front Fock-state wavefunctions provide a frame-independent representation of hadrons in terms of…

高能物理 - 唯象学 · 物理学 2007-05-23 S. J. Brodsky

We obtain the deuteron's wave functions as eigenstates of the light-front quantum chromodynamics (QCD) Hamiltonian using a fully relativistic and nonperturbative approach based on light-front quantization, without an explicit confining…

高能物理 - 唯象学 · 物理学 2025-05-20 Chandan Mondal , Satvir Kaur , Jiatong Wu , Siqi Xu , Xingbo Zhao , James P. Vary

High-dimensional (HD) entanglement promises both enhanced key rates and overcoming obstacles faced by modern-day quantum communication. However, modern convex optimization-based security arguments are limited by computational constraints;…

量子物理 · 物理学 2025-07-04 Florian Kanitschar , Marcus Huber

We explore finite-field frameworks for quantum theory and quantum computation. The simplest theory, defined over unrestricted finite fields, is unnaturally strong. A second framework employs only finite fields with no solution to x^2+1=0,…

量子物理 · 物理学 2015-06-15 Andrew J. Hanson , Gerardo Ortiz , Amr Sabry , Yu-Tsung Tai

In this work, a theoretical generalization of Lloyd's quantum illumination to signal beams described by two entangled photon states is developed. It is shown that the new protocol offers a method to find the range of the target, reduces the…

量子物理 · 物理学 2021-09-21 Ricardo Gallego Torromé , Nadya Ben Bekhti-Winkel , Peter Knott

We study a quasi-one-dimensional attractive Bose gas confined in an optical lattice with a superimposed harmonic potential by analyzing the effective one-dimensional Bose-Hubbard Hamiltonian of the system. In order to have a reliable…

量子气体 · 物理学 2014-10-01 Luca Barbiero , Luca Salasnich

Non-perturbative solutions to the quantum-field theory is a topic of current and broad interest, especially for the heavy ion and laser physics communities, since they investigate particle production in the presence of strong external…

高能物理 - 唯象学 · 物理学 2015-03-17 H. Honkanen

We study a lattice gauge theory in Wilson's Hamiltonian formalism. In view of the realization of a quantum simulator for QED in one dimension, we introduce an Abelian model with a discrete gauge symmetry $\mathbb{Z}_n$, approximating the…

Quantum computing holds the promise of solving computational mechanics problems in polylogarithmic time, meaning computational time scales as $\mathscr{O}((\log N)^c)$, where $N$ is the problem size and $c$ a constant. We propose a quantum…

数值分析 · 数学 2026-04-22 Eky Febrianto , Yiren Wang , Burigede Liu , Michael Ortiz , Fehmi Cirak

We introduce the 3-colour noncommutative quantum field theory model in two dimensions. For this model we prove a generalised Ward-Takahashi identity, which is special to coloured noncommutative QFT models and has no underlying continuous…

数学物理 · 物理学 2019-09-23 Alexander Hock , Raimar Wulkenhaar

We consider radial quantization for conformal quantum field theory with a lattice regulator. A Euclidean field theory on $\mathbb R^D$ is mapped to a cylindrical manifold, $\mathbb R\times \mathbb S^{D-1}$, whose length is logarithmic in…

高能物理 - 格点 · 物理学 2012-12-11 Richard C. Brower , George T. Fleming , Herbert Neuberger

The light-front quantization of QCD provides an alternative to lattice gauge theory for computing the mass spectrum, scattering amplitudes, and other physical properties of hadrons directly in Minkowski space. Nonperturbative light-front…

高能物理 - 唯象学 · 物理学 2007-05-23 S. J. Brodsky

Light-cone quantization of gauge field theory is considered. With a careful treatment of the relevant degrees of freedom and where they must be initialized, the results obtained in equal-time quantization are recovered, in particular the…

高能物理 - 理论 · 物理学 2010-11-01 Gary McCartor , David G. Robertson

Frequency modes of light are one of the most promising platforms that provide access to high-dimensional quantum states amongst different photonic degrees of freedom capable of high-dimensionality, enabling robust, error-tolerant, and…

Compact lattice Quantum Electrodynamics is a complex quantum field theory with dynamical gauge and matter fields and it has similarities with Quantum Chromodynamics, in particular asymptotic freedom and confinement. We consider a…

高能物理 - 格点 · 物理学 2024-12-11 Arianna Crippa , Karl Jansen , Enrico Rinaldi
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