Quantum Simulation of Finite Temperature Schwinger Model via Quantum Imaginary Time Evolution

• URL: http://arxiv.org/abs/2311.11616v1
• Date: Mon, 20 Nov 2023 09:00:10 GMT
• Title: Quantum Simulation of Finite Temperature Schwinger Model via Quantum Imaginary Time Evolution
• Authors: Juan W. Pedersen, Etsuko Itou, Rong-Yang Sun and Seiji Yunoki
• Abstract summary: We study the Schwinger model at finite-temperature regime using a quantum-classical hybrid algorithm. We adopt the Thermal Pure Quantum (TPQ) state approach and apply the Quantum Imaginary Time Evolution (QITE) algorithm to implement the necessary imaginary time evolution.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the Schwinger model at finite-temperature regime using a quantum-classical hybrid algorithm. The preparation of thermal state on quantum circuit presents significant challenges. To address this, we adopt the Thermal Pure Quantum (TPQ) state approach and apply the Quantum Imaginary Time Evolution (QITE) algorithm to implement the necessary imaginary time evolution. We first compute the chiral condensate in the massless Schwinger model, verifying its consistency with the analytical solution. We then simulate the massive Schwinger model with non-zero topological $\theta$-term to investigate the temperature and $\theta$-dependence of the chiral condensate. Our method works well even at non-zero $\theta$ regime, while the conventional lattice Monte Carlo method suffers from the sign problem in this system.

Related papers

• Quantum computational advantage with constant-temperature Gibbs sampling [1.1930434318557157]
  A quantum system coupled to a bath at some fixed, finite temperature converges to its Gibbs state. This thermalization process defines a natural, physically-motivated model of quantum computation. We consider sampling from the measurement outcome distribution of quantum Gibbs states at constant temperatures.
  arXiv  Detail & Related papers  (2024-04-23T00:29:21Z)
• Efficient thermalization and universal quantum computing with quantum Gibbs samplers [2.403252956256118]
  We show adiabatic preparation of the associated "thermofield double" states. We show implementing this family of dissipative evolutions for inverse temperatures in the system's size is computationally equivalent to standard quantum computations. Taken together, our results show that a family of quasi-local dissipative evolution efficiently prepares a large class of quantum many-body states.
  arXiv  Detail & Related papers  (2024-03-19T12:49:25Z)
• Wasserstein Quantum Monte Carlo: A Novel Approach for Solving the Quantum Many-Body Schr\"odinger Equation [56.9919517199927]
  "Wasserstein Quantum Monte Carlo" (WQMC) uses the gradient flow induced by the Wasserstein metric, rather than Fisher-Rao metric, and corresponds to transporting the probability mass, rather than teleporting it. We demonstrate empirically that the dynamics of WQMC results in faster convergence to the ground state of molecular systems.
  arXiv  Detail & Related papers  (2023-07-06T17:54:08Z)
• Simulating $\mathbb{Z}_2$ Lattice Gauge Theory with the Variational Quantum Thermalizer [0.6165163123577484]
  We apply a variational quantum algorithm to a low-dimensional model which has a local abelian gauge symmetry. We demonstrate how this approach can be applied to obtain information regarding the phase diagram as well as unequal-time correlation functions at non-zero temperature.
  arXiv  Detail & Related papers  (2023-06-09T17:32:37Z)
• Robust Extraction of Thermal Observables from State Sampling and Real-Time Dynamics on Quantum Computers [49.1574468325115]
  We introduce a technique that imposes constraints on the density of states, most notably its non-negativity, and show that this way, we can reliably extract Boltzmann weights from noisy time series. Our work enables the implementation of the time-series algorithm on present-day quantum computers to study finite temperature properties of many-body quantum systems.
  arXiv  Detail & Related papers  (2023-05-30T18:00:05Z)
• Critical behavior of Ising model by preparing thermal state on quantum computer [3.570760625392093]
  We simulate the critical behavior of the Ising model utilizing a thermal state prepared using quantum computing techniques. We calculate the specific heat and susceptibility of the long-range interacting Ising model and observe indications of the Ising criticality on a small lattice size.
  arXiv  Detail & Related papers  (2023-02-28T03:29:19Z)
• 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)
• Variational thermal quantum simulation of the lattice Schwinger model [0.0]
  We propose a variational approach, using the lattice Schwinger model, to simulate the confinement or deconfinement. Results of numeral simulation show that the string tension decreases both along the increasing of the temperature and the chemical potential. Our work paves a way for exploiting near-term quantum computers for investigating the phase diagram of finite-temperature and finite density for nuclear matters.
  arXiv  Detail & Related papers  (2022-05-25T13:29:05Z)
• Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
  We deal with a generic time-local non-Markovian master equation. We define current and power to be process-dependent as in classical thermodynamics. Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
  arXiv  Detail & Related papers  (2022-04-06T17:59:15Z)
• Quantum Simulation of Chiral Phase Transitions [62.997667081978825]
  We construct a quantum simulation for the $(+1)$ dimensional NJL model at finite temperature and finite chemical potential. We observe consistency among digital quantum simulation, exact diagonalization, and analytical solution, indicating further applications of quantum computing in simulating QCD thermodynamics.
  arXiv  Detail & Related papers  (2021-12-07T19:04:20Z)
• 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)

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.