Variational quantum algorithm for non-Markovian quantum dynamics
- URL: http://arxiv.org/abs/2412.00407v1
- Date: Sat, 30 Nov 2024 09:25:23 GMT
- Title: Variational quantum algorithm for non-Markovian quantum dynamics
- Authors: Peter L. Walters, Mohammad U. Sherazi, Fei Wang,
- Abstract summary: We have developed a variational quantum algorithm that is capable of simulating non-Markovian quantum dynamics.
The algorithm naturally fits into the parallel computing platform of the NISQ devices and is well suited for anharmonic system-bath interactions and multi-state systems.
- Score: 5.19702850808286
- License:
- Abstract: The simulation of non-Markovian quantum dynamics plays an important role in the understanding of charge and exciton dynamics in the condensed phase environment, and yet it remains computationally expensive on classical computers. We have developed a variational quantum algorithm that is capable of simulating non-Markovian quantum dynamics. The algorithm captures the non-Markovian effect by employing the Ehrenfect trajectories in the path integral formulation and the Monte Carlo sampling of the thermal distribution. We tested the algorithm with the spin-boson model on the quantum simulator and the results match well with the exact ones. The algorithm naturally fits into the parallel computing platform of the NISQ devices and is well suited for anharmonic system-bath interactions and multi-state systems.
Related papers
- Polynomial time and space quantum algorithm for the simulation of non-Markovian quantum dynamics [5.19702850808286]
We developed an efficient quantum algorithm for the simulation of non-Markovian quantum dynamics, based on the Feynman path.
It demonstrates the quantum advantage by overcoming the exponential cost on classical computers.
The algorithm is efficient regardless of whether entanglement due to non-Markovianity is low or high, making it a unified framework for non-Markovian dynamics in open quantum system.
arXiv Detail & Related papers (2024-11-27T09:25:17Z) - Simulating Non-Markovian Quantum Dynamics on NISQ Computers Using the Hierarchical Equations of Motion [0.0]
We introduce a quantum algorithm designed to simulate non-Markovian dynamics of open quantum systems.
Our approach enables the implementation of arbitrary quantum master equations on noisy intermediate-scale quantum computers.
arXiv Detail & Related papers (2024-11-18T20:41:10Z) - Ensemble Variational Quantum Algorithm for Non-Markovian Quantum
Dynamics [5.84093922354671]
We develop a variational quantum algorithm capable of simulating non-Markovian dynamics on NISQ devices.
We validated the algorithm on the simulator and demonstrated its performance on the IBM quantum device.
The framework is naturally adapted to any anharmonic bath with non-linear coupling to the system, and is also well suited for simulating spin chain dynamics in a dissipative environment.
arXiv Detail & Related papers (2024-03-07T20:27:40Z) - Variational Quantum Algorithms for Simulation of Lindblad Dynamics [0.0]
We introduce a variational hybrid classical-quantum algorithm to simulate the Lindblad master equation and its adjoint for time-evolving Markovian open quantum systems and quantum observables.
We design and optimize low-depth variational quantum circuits that efficiently capture the unitary and non-unitary dynamics of the solutions.
arXiv Detail & Related papers (2023-05-04T13:25:44Z) - 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) - Recompilation-enhanced simulation of electron-phonon dynamics on IBM
Quantum computers [62.997667081978825]
We consider the absolute resource cost for gate-based quantum simulation of small electron-phonon systems.
We perform experiments on IBM quantum hardware for both weak and strong electron-phonon coupling.
Despite significant device noise, through the use of approximate circuit recompilation we obtain electron-phonon dynamics on current quantum computers comparable to exact diagonalisation.
arXiv Detail & Related papers (2022-02-16T19:00:00Z) - Simulating the Mott transition on a noisy digital quantum computer via
Cartan-based fast-forwarding circuits [62.73367618671969]
Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model.
Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models.
This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
arXiv Detail & Related papers (2021-12-10T17:32:15Z) - 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) - Fixed Depth Hamiltonian Simulation via Cartan Decomposition [59.20417091220753]
We present a constructive algorithm for generating quantum circuits with time-independent depth.
We highlight our algorithm for special classes of models, including Anderson localization in one dimensional transverse field XY model.
In addition to providing exact circuits for a broad set of spin and fermionic models, our algorithm provides broad analytic and numerical insight into optimal Hamiltonian simulations.
arXiv Detail & Related papers (2021-04-01T19:06:00Z) - 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.