Thermal variational quantum simulation on a superconducting quantum processor

• URL: http://arxiv.org/abs/2107.06234v2
• Date: Sun, 17 Dec 2023 02:31:20 GMT
• Title: Thermal variational quantum simulation on a superconducting quantum processor
• Authors: Xue-Yi Guo, Shang-Shu Li, Xiao Xiao, Zhong-Cheng Xiang, Zi-Yong Ge, He-Kang Li, Peng-Tao Song, Yi Peng, Kai Xu, Pan Zhang, Lei Wang, Dong-Ning Zheng, and Heng Fan
• Abstract summary: We present experiments to demonstrate a hybrid quantum-classical simulation of thermal quantum states. By combining a classical probabilistic model and a 5-qubit programmable superconducting quantum processor, we prepare Gibbs states and excited states of Heisenberg XY and XXZ models. We show that the approach is scalable in the number of qubits, and has a self-verifiable feature, revealing its potentials in solving large-scale quantum statistical mechanics problems.
• Score: 15.94135317202682
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Solving finite-temperature properties of quantum many-body systems is generally challenging to classical computers due to their high computational complexities. In this article, we present experiments to demonstrate a hybrid quantum-classical simulation of thermal quantum states. By combining a classical probabilistic model and a 5-qubit programmable superconducting quantum processor, we prepare Gibbs states and excited states of Heisenberg XY and XXZ models with high fidelity and compute thermal properties including the variational free energy, energy, and entropy with a small statistical error. Our approach combines the advantage of classical probabilistic models for sampling and quantum co-processors for unitary transformations. We show that the approach is scalable in the number of qubits, and has a self-verifiable feature, revealing its potentials in solving large-scale quantum statistical mechanics problems on near-term intermediate-scale quantum computers.

Related papers

• Quantum many-body simulation of finite-temperature systems with sampling a series expansion of a quantum imaginary-time evolution [0.0]
  Quantum computers are expected to enable us to simulate large systems at finite temperatures. We propose a method suitable for quantum devices in this early stage to calculate the thermal-equilibrium expectation value of an observable at finite temperatures.
  arXiv  Detail & Related papers  (2024-09-11T07:38:46Z)
• 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)
• Computational supremacy in quantum simulation [22.596358764113624]
  We show that superconducting quantum annealing processors can generate samples in close agreement with solutions of the Schr"odinger equation. We conclude that no known approach can achieve the same accuracy as the quantum annealer within a reasonable timeframe.
  arXiv  Detail & Related papers  (2024-03-01T19:00:04Z)
• Scalable Quantum Ground State Preparation of the Heisenberg Model: A Variational Quantum Eigensolver Approach [0.0]
  Variational Quantumsolver (VQE) algorithm is a system composed of a quantum circuit and a classical Eigenational Quantumsolver. We present an ansatz capable of preparing the ground states for all possible values of the coupling, including the critical states for the anisotropic XXZ model.
  arXiv  Detail & Related papers  (2023-08-23T09:26:34Z)
• 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)
• Thermally-induced qubit coherence in quantum electromechanics [0.0]
  Coherence is the ability of a quantum system to be in a superposition of quantum states. We show that quantum coherence is created in a composite system solely from the interaction of the parts.
  arXiv  Detail & Related papers  (2022-06-09T13:33:45Z)
• Implementation of a two-stroke quantum heat engine with a collisional model [50.591267188664666]
  We put forth a quantum simulation of a stroboscopic two-stroke thermal engine in the IBMQ processor. The system consists of a quantum spin chain connected to two baths at their boundaries, prepared at different temperatures using the variational quantum thermalizer algorithm.
  arXiv  Detail & Related papers  (2022-03-25T16:55:08Z)
• Kernel-Function Based Quantum Algorithms for Finite Temperature Quantum Simulation [5.188498150496968]
  We present a quantum kernel function (QKFE) algorithm for solving thermodynamic properties of quantum many-body systems. As compared to its classical counterpart, namely the kernel method (KPM), QKFE has an exponential advantage in the cost of both time and memory. We demonstrate its efficiency with applications to one and two-dimensional quantum spin models, and a fermionic lattice.
  arXiv  Detail & Related papers  (2022-02-02T18:00:04Z)
• Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
  We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems. Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
  arXiv  Detail & Related papers  (2021-08-30T23:50:05Z)
• Quantum Markov Chain Monte Carlo with Digital Dissipative Dynamics on Quantum Computers [52.77024349608834]
  We develop a digital quantum algorithm that simulates interaction with an environment using a small number of ancilla qubits. We evaluate the algorithm by simulating thermal states of the transverse Ising model.
  arXiv  Detail & Related papers  (2021-03-04T18:21:00Z)
• Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
  We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
  arXiv  Detail & Related papers  (2021-01-21T22:18:49Z)

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.