Simulating quantum transport via collisional models on a digital quantum computer

• URL: http://arxiv.org/abs/2307.13576v2
• Date: Tue, 1 Aug 2023 13:49:33 GMT
• Title: Simulating quantum transport via collisional models on a digital quantum computer
• Authors: Rebecca Erbanni, Xiansong Xu, Tommaso Demarie, Dario Poletti
• Abstract summary: We study the interplay between the accuracy of the result versus the depth of the circuit. We study the simulation of a boundary-driven spin chain in regimes of weak and strong interactions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Digital quantum computers have the potential to study the dynamics of complex quantum systems. Nonequilibrium open quantum systems are, however, less straightforward to be implemented. Here we consider a collisional model representation of the nonequilibrium open dynamics for a boundary-driven XXZ spin chain, with a particular focus on its steady states. More specifically, we study the interplay between the accuracy of the result versus the depth of the circuit by comparing the results generated by the corresponding master equations. We study the simulation of a boundary-driven spin chain in regimes of weak and strong interactions, which would lead in large systems to diffusive and ballistic dynamics, considering also possible errors in the implementation of the protocol. Last, we analyze the effectiveness of digital simulation via the collisional model of current rectification when the XXZ spin chains are subject to non-uniform magnetic fields.

Related papers

• Simulating spin biology using a digital quantum computer: Prospects on a near-term quantum hardware emulator [0.0]
  We leverage Trotterization to map coherent radical pair spin dynamics onto a digital gate-based quantum simulation. We identify approximately 15 Trotter steps to be sufficient for faithfully reproducing the coupled spin dynamics of a prototypical system.
  arXiv  Detail & Related papers  (2024-06-18T18:09:31Z)
• Out-of-time-order correlators in electronic structure using Quantum Computers [0.0]
  Operator spreading has profound implications in diverse fields ranging from statistical mechanics and blackhole physics to quantum information. We show that operator spreading is enhanced when the chain is far from its equilibrium geometry. We also investigate the dynamics of bipartite entanglement and its dependence on the partition's size.
  arXiv  Detail & Related papers  (2024-05-20T18:00:17Z)
• Qubits on programmable geometries with a trapped-ion quantum processor [2.0295982805787776]
  We develop a class of high-dimensional Ising interactions using a linear one-dimensional (1D) ion chain with up to 8 qubits through stroboscopic sequences of commuting Hamiltonians. We extend this method to non-commuting circuits and demonstrate the quantum XY and Heisenberg models using Floquet periodic drives with tunable symmetries.
  arXiv  Detail & Related papers  (2023-08-20T07:01:57Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Verifying quantum information scrambling dynamics in a fully controllable superconducting quantum simulator [0.0]
  We study the verified scrambling in a 1D spin chain by an analogue superconducting quantum simulator with the signs and values of individual driving and coupling terms fully controllable. Our work demonstrates the superconducting system as a powerful quantum simulator.
  arXiv  Detail & Related papers  (2021-12-21T13:41:47Z)
• Quantum algorithms for quantum dynamics: A performance study on the spin-boson model [68.8204255655161]
  Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator. variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware. We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
  arXiv  Detail & Related papers  (2021-08-09T18:00:05Z)
• 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)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• 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)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)
• Expressibility and trainability of parameterized analog quantum systems for machine learning applications [0.0]
  We show how interplay between external driving and disorder in the system dictates the trainability and expressibility of interacting quantum systems. Our work shows the fundamental connection between quantum many-body physics and its application in machine learning.
  arXiv  Detail & Related papers  (2020-05-22T14:59:42Z)

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.