Quantum computational resources for lattice QCD in the strong-coupling limit
- URL: http://arxiv.org/abs/2406.18721v1
- Date: Wed, 26 Jun 2024 19:39:03 GMT
- Title: Quantum computational resources for lattice QCD in the strong-coupling limit
- Authors: Michael Fromm, Lucas Katschke, Owe Philipsen, Wolfgang Unger,
- Abstract summary: We consider the strong coupling limit of lattice QCD with massless staggered quarks.
We map the theory to qudits $(d>2)$ and qumodes, as used on trapped-ion systems and photonic devices.
- Score: 1.2512036656559684
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We consider the strong coupling limit of lattice QCD with massless staggered quarks and study the resource requirements for quantum simulating the theory in its Hamiltonian formulation. The bosonic Hilbert space of the color-singlet degrees of freedom grows quickly with the number of quark flavors, making it a suitable testing ground for resource considerations across different platforms. In particular, in addition to the standard model of computation with qubits, we consider mapping the theory to qudits $(d>2)$ and qumodes, as used on trapped-ion systems and photonic devices, respectively.
Related papers
- Real-Time Scattering Processes with Continuous-Variable Quantum Computers [0.0]
We propose a framework for simulating the real-time dynamics of quantum field theories.
We implement non-Gaussian operations for continuous-variable quantum computing platforms.
arXiv Detail & Related papers (2025-02-03T19:11:38Z) - Quantum Homogenization as a Quantum Steady State Protocol on NISQ Hardware [42.52549987351643]
Quantum homogenization is a reservoir-based quantum state approximation protocol.
We extend the standard quantum homogenization protocol to the dynamically-equivalent ($mathttSWAP$)$alpha$ formulation.
We show that our proposed protocol yields a completely positive, trace preserving (CPTP) map under which the code subspace is correctable.
arXiv Detail & Related papers (2024-12-19T05:50:54Z) - Extending Quantum Perceptrons: Rydberg Devices, Multi-Class Classification, and Error Tolerance [67.77677387243135]
Quantum Neuromorphic Computing (QNC) merges quantum computation with neural computation to create scalable, noise-resilient algorithms for quantum machine learning (QML)
At the core of QNC is the quantum perceptron (QP), which leverages the analog dynamics of interacting qubits to enable universal quantum computation.
arXiv Detail & Related papers (2024-11-13T23:56:20Z) - Quantum State Transfer in Interacting, Multiple-Excitation Systems [41.94295877935867]
Quantum state transfer (QST) describes the coherent passage of quantum information from one node to another.
We describe Monte Carlo techniques which enable the discovery of a Hamiltonian that gives high-fidelity QST.
The resulting Jaynes-Cummings-Hubbard and periodic Anderson models can, in principle, be engineered in appropriate hardware to give efficient QST.
arXiv Detail & Related papers (2024-05-10T23:46:35Z) - Digital quantum simulation of lattice fermion theories with local encoding [0.0]
We numerically analyze the feasibility of a platform-neutral, general strategy to perform quantum simulations of fermionic lattice field theories.
We observe a timescale separation for spin- and charge-excitations in a spin-$frac12$ Hubbard ladder in the $t-J$ model limit.
arXiv Detail & Related papers (2023-10-23T16:54:49Z) - Quantum Gate Sets for Lattice QCD in the strong coupling limit: $N_f=1$ [0.6165163123577484]
We derive the primitive quantum gate sets to simulate lattice quantum chromodynamics (LQCD) in the strong-coupling limit with one flavor of massless staggered quarks.
This theory is of interest for studies at non-zero density as the sign problem can be overcome using Monte Carlo methods.
arXiv Detail & Related papers (2023-08-06T19:27:14Z) - Fermionic anyons: entanglement and quantum computation from a resource-theoretic perspective [39.58317527488534]
We develop a framework to characterize the separability of a specific type of one-dimensional quasiparticle known as a fermionic anyon.
We map this notion of fermionic-anyon separability to the free resources of matchgate circuits.
We also identify how entanglement between two qubits encoded in a dual-rail manner, as standard for matchgate circuits, corresponds to the notion of entanglement between fermionic anyons.
arXiv Detail & Related papers (2023-06-01T15:25:19Z) - Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1
Dimensions: (I) Axial Gauge [0.0]
Tools necessary for quantum simulations of $1+1$ dimensional quantum chromodynamics are developed.
IBM's 7-qubit quantum computers, ibmq_jakarta and ibm_perth, are used to compute dynamics.
$SU(N_c)$ gauge theory with $N_f$ flavors of quarks are developed.
arXiv Detail & Related papers (2022-07-04T21:47:36Z) - 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) - Quantum simulation of gauge theory via orbifold lattice [47.28069960496992]
We propose a new framework for simulating $textU(k)$ Yang-Mills theory on a universal quantum computer.
We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories.
arXiv Detail & Related papers (2020-11-12T18:49:11Z) - Towards simulating 2D effects in lattice gauge theories on a quantum
computer [1.327151508840301]
We propose an experimental quantum simulation scheme to study ground state properties in two-dimensional quantum electrodynamics (2D QED) using existing quantum technology.
The proposal builds on a formulation of lattice gauge theories as effective spin models in arXiv:2006.14160.
We present two Variational Quantum Eigensolver (VQE) based protocols for the study of magnetic field effects, and for taking an important first step towards computing the running coupling of QED.
arXiv Detail & Related papers (2020-08-21T01:20:55Z)
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.