Quantum Simulations of Loop Quantum Gravity

• URL: http://arxiv.org/abs/2112.02426v2
• Date: Mon, 20 Dec 2021 02:54:16 GMT
• Title: Quantum Simulations of Loop Quantum Gravity
• Authors: Swapnil Nitin Shah
• Abstract summary: Loop Quantum Gravity (LQG) is one of the leading approaches to unify quantum physics and General Relativity (GR) Simulation of LQG spin-network states and their dynamics is classically intractable and is widely believed to fall in the Bounded Quantum Polynomial (BQP) time complexity class. In this article, we review three such efforts which utilize superconducting qubits, linear optical qubits and Nuclear Magnetic Resonance (NMR) qubits respectively.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Loop Quantum Gravity (LQG) is one of the leading approaches to unify quantum physics and General Relativity (GR). The Hilbert space of LQG is spanned by spin-networks which describe the local geometry of quantum space-time. Simulation of LQG spin-network states and their dynamics is classically intractable and is widely believed to fall in the Bounded Quantum Polynomial (BQP) time complexity class. There have been many recent attempts to simulate these states using novel and off the shelf quantum computing technologies. In this article, we review three such efforts which utilize superconducting qubits, linear optical qubits and Nuclear Magnetic Resonance (NMR) qubits respectively. The articles chosen for this review represent state of the art in quantum simulations of LQG.

Related papers

• Parallelizing quantum simulation with decision diagrams [2.5999037208435705]
  Classical computers face a critical obstacle in simulating quantum algorithms. Quantum states reside in a Hilbert space whose size grows exponentially to the number of subsystems, i.e., qubits. This work explores several strategies for parallelizing decision diagram operations, specifically for quantum simulations.
  arXiv  Detail & Related papers  (2023-12-04T02:00:24Z)
• Quantum Simulations for Strong-Field QED [0.0]
  We perform quantum simulations of strong-field QED (SFQED) in $3+1$ dimensions. The interactions relevant for Breit-Wheeler pair-production are transformed into a quantum circuit. Quantum simulations of a "null double slit" experiment are found to agree well with classical simulations.
  arXiv  Detail & Related papers  (2023-11-30T03:05:26Z)
• 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)
• Matrix Multiplicative Weights Updates in Quantum Zero-Sum Games: Conservation Laws & Recurrence [39.379577980832835]
  We focus on learning in quantum zero-sum games under Matrix Multiplicative Weights Update and its continuous analogue, Quantum Replicator Dynamics. Our analysis generalizes previous results in the case of classical games.
  arXiv  Detail & Related papers  (2022-11-03T09:52:33Z)
• Orbital Expansion Variational Quantum Eigensolver: Enabling Efficient Simulation of Molecules with Shallow Quantum Circuit [0.5541644538483947]
  Variational Quantum Eigensolver (VQE) is a promising method to study ground state properties in quantum chemistry, materials science, and condensed physics. Here, we propose an Orbital Expansion VQE(OE-VQE) framework to construct an efficient convergence path. The path starts from a highly correlated compact active space and rapidly expands and converges to the ground state, enabling ground states with much shallower quantum circuits.
  arXiv  Detail & Related papers  (2022-10-13T10:47:01Z)
• Probing resonating valence bonds on a programmable germanium quantum simulator [0.0]
  We introduce quantum simulation using hole spins in germanium quantum dots. We demonstrate extensive and coherent control enabling the tuning of multi-spin states in isolated, paired, and fully coupled quantum dots.
  arXiv  Detail & Related papers  (2022-08-24T12:55:51Z)
• Recent Advances for Quantum Neural Networks in Generative Learning [98.88205308106778]
  Quantum generative learning models (QGLMs) may surpass their classical counterparts. We review the current progress of QGLMs from the perspective of machine learning. We discuss the potential applications of QGLMs in both conventional machine learning tasks and quantum physics.
  arXiv  Detail & Related papers  (2022-06-07T07:32:57Z)
• An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian Simulation [55.41644538483948]
  Current generation noisy intermediate-scale quantum (NISQ) computers are severely limited in chip size and error rates. We derive localized circuit transformations to efficiently compress quantum circuits for simulation of certain spin Hamiltonians known as free fermions. The proposed numerical circuit compression algorithm behaves backward stable and scales cubically in the number of spins enabling circuit synthesis beyond $mathcalO(103)$ spins.
  arXiv  Detail & Related papers  (2021-08-06T19:38:03Z)
• Probing Topological Spin Liquids on a Programmable Quantum Simulator [40.96261204117952]
  We use a 219-atom programmable quantum simulator to probe quantum spin liquid states. In our approach, arrays of atoms are placed on the links of a kagome lattice and evolution under Rydberg blockade creates frustrated quantum states. The onset of a quantum spin liquid phase of the paradigmatic toric code type is detected by evaluating topological string operators.
  arXiv  Detail & Related papers  (2021-04-09T00:18:12Z)
• Imaginary Time Propagation on a Quantum Chip [50.591267188664666]
  Evolution in imaginary time is a prominent technique for finding the ground state of quantum many-body systems. We propose an algorithm to implement imaginary time propagation on a quantum computer.
  arXiv  Detail & Related papers  (2021-02-24T12:48:00Z)
• Efficient Simulation of Loop Quantum Gravity -- A Scalable Linear-Optical Approach [0.0]
  A leading approach is Loop Quantum Gravity (LQG) We design a linear-optical simulator such that the evolution of the optical quantum gates simulates the spinfoam amplitudes of LQG. This work opens a new way to relate quantum gravity to quantum information and will expand our understanding of the theory.
  arXiv  Detail & Related papers  (2020-03-06T20:04:20Z)

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.