Minimally Entangled Typical Thermal States for Classical and Quantum Simulation of Gauge Theories at Finite Temperature and Density

• URL: http://arxiv.org/abs/2407.11949v1
• Date: Tue, 16 Jul 2024 17:44:01 GMT
• Title: Minimally Entangled Typical Thermal States for Classical and Quantum Simulation of Gauge Theories at Finite Temperature and Density
• Authors: I-Chi Chen, João C. Getelina, Klée Pollock, Srimoyee Sen, Yong-Xin Yao, Thomas Iadecola,
• Abstract summary: Simulating strongly coupled gauge theories at finite temperature and density is a longstanding challenge in nuclear and high-energy physics. In this work, we investigate the utility of minimally entangled typical thermal state (METTS) approaches to facilitate both classical and quantum computational studies.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Simulating strongly coupled gauge theories at finite temperature and density is a longstanding challenge in nuclear and high-energy physics that also has fundamental implications for condensed matter physics. In this work, we investigate the utility of minimally entangled typical thermal state (METTS) approaches to facilitate both classical and quantum computational studies of such systems. METTS techniques combine classical random sampling with imaginary time evolution, which can be performed on either a classical or a quantum computer, to estimate thermal averages of observables. We study the simplest model of a confining gauge theory, namely $\mathbb{Z}_2$ gauge theory coupled to spinless fermionic matter in 1+1 dimensions, which can be directly mapped to a local quantum spin chain with two- and three-body interactions. We benchmark both a classical matrix-product-state implementation of METTS and a recently proposed adaptive variational approach to METTS that is a promising candidate for implementation on near-term quantum devices, focusing on the equation of state as well as on various measures of fermion confinement. Of particular importance is the choice of basis for obtaining new METTS samples, which impacts both the classical sampling complexity (a key factor in both classical and quantum simulation applications) and complexity of circuits used in the quantum computing approach. Our work sets the stage for future studies of strongly coupled gauge theories with both classical and quantum hardware.

Related papers

• Quantum Computing Universal Thermalization Dynamics in a (2+1)D Lattice Gauge Theory [2.483317204290323]
  We study the role of entanglement in the thermalization dynamics of a $Z$ lattice gauge theory in 2+1time dimensions. Our work establishes quantum computers as robust tools for studying universal features of thermalization in complex many-body systems.
  arXiv  Detail & Related papers  (2024-07-31T18:00:01Z)
• Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
  We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
  arXiv  Detail & Related papers  (2024-05-27T17:40:39Z)
• 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)
• Fermion-qudit quantum processors for simulating lattice gauge theories with matter [0.0]
  We present a complete Rydberg-based architecture, co-designed to digitally simulate the dynamics of general gauge theories. We show how to prepare hadrons made up of fermionic matter constituents bound by non-abelian gauge fields. In both cases, we estimate the required resources, showing how quantum devices can be used to calculate experimentally-relevant quantities.
  arXiv  Detail & Related papers  (2023-03-15T15:12:26Z)
• Toward Exploring Phase Diagrams of Gauge Theories on Quantum Computers with Thermal Pure Quantum States [0.0]
  We present an approach for quantum computing finite-temperature lattice gauge theories at non-zero density. Our approach allows for sign-problem-free quantum computations of thermal expectation values and non-equal time correlation functions.
  arXiv  Detail & Related papers  (2022-12-21T22:10:12Z)
• Anticipative measurements in hybrid quantum-classical computation [68.8204255655161]
  We present an approach where the quantum computation is supplemented by a classical result. Taking advantage of its anticipation also leads to a new type of quantum measurements, which we call anticipative. In an anticipative quantum measurement the combination of the results from classical and quantum computations happens only in the end.
  arXiv  Detail & Related papers  (2022-09-12T15:47:44Z)
• Decoding Measurement-Prepared Quantum Phases and Transitions: from Ising model to gauge theory, and beyond [3.079076817894202]
  Measurements allow efficient preparation of interesting quantum many-body states with long-range entanglement. We demonstrate that the so-called conformal quantum critical points can be obtained by performing general single-site measurements.
  arXiv  Detail & Related papers  (2022-08-24T17:59:58Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• Quantum-Classical Hybrid Algorithm for the Simulation of All-Electron Correlation [58.720142291102135]
  We present a novel hybrid-classical algorithm that computes a molecule's all-electron energy and properties on the classical computer. We demonstrate the ability of the quantum-classical hybrid algorithms to achieve chemically relevant results and accuracy on currently available quantum computers.
  arXiv  Detail & Related papers  (2021-06-22T18:00:00Z)
• 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)
• From a quantum theory to a classical one [117.44028458220427]
  We present and discuss a formal approach for describing the quantum to classical crossover. The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
  arXiv  Detail & Related papers  (2020-04-01T09:16:38Z)

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.