Digital quantum simulation of non-perturbative dynamics of open systems with orthogonal polynomials

• URL: http://arxiv.org/abs/2203.14653v5
• Date: Mon, 29 Jan 2024 11:49:21 GMT
• Title: Digital quantum simulation of non-perturbative dynamics of open systems with orthogonal polynomials
• Authors: Jos\'e D. Guimar\~aes, Mikhail I. Vasilevskiy and Lu\'is S. Barbosa
• Abstract summary: We propose the use of the Time Evolving Density operator with Orthogonal Polynomials Algorithm (TEDOPA) on a quantum computer. We show that exponential scalings of computational resources can potentially be avoided for time-evolution simulations of the systems considered in this work.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Classical non-perturbative simulations of open quantum systems' dynamics face several scalability problems, namely, exponential scaling of the computational effort as a function of either the time length of the simulation or the size of the open system. In this work, we propose the use of the Time Evolving Density operator with Orthogonal Polynomials Algorithm (TEDOPA) on a quantum computer, which we term as Quantum TEDOPA (Q-TEDOPA), to simulate non-perturbative dynamics of open quantum systems linearly coupled to a bosonic environment (continuous phonon bath). By performing a change of basis of the Hamiltonian, the TEDOPA yields a chain of harmonic oscillators with only local nearest-neighbour interactions, making this algorithm suitable for implementation on quantum devices with limited qubit connectivity such as superconducting quantum processors. We analyse in detail the implementation of the TEDOPA on a quantum device and show that exponential scalings of computational resources can potentially be avoided for time-evolution simulations of the systems considered in this work. We applied the proposed method to the simulation of the exciton transport between two light-harvesting molecules in the regime of moderate coupling strength to a non-Markovian harmonic oscillator environment on an IBMQ device. Applications of the Q-TEDOPA span problems which can not be solved by perturbation techniques belonging to different areas, such as the dynamics of quantum biological systems and strongly correlated condensed matter systems.

Related papers

• qHEOM: A Quantum Algorithm for Simulating Non-Markovian Quantum Dynamics 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)
• Efficient Simulation of Open Quantum Systems on NISQ Trapped-Ion Hardware [0.0]
  We propose an efficient framework for simulating open quantum systems on NISQ hardware. Our approach avoids the computationally expensive Trotterization method and exploits the Lindblad master equation. We show strong agreement between the simulations on real quantum hardware and exact solutions.
  arXiv  Detail & Related papers  (2024-10-14T17:13:47Z)
• Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits [63.733312560668274]
  Given a quantum circuit containing d tunable RZ gates and G-d Clifford gates, can a learner perform purely classical inference to efficiently predict its linear properties? We prove that the sample complexity scaling linearly in d is necessary and sufficient to achieve a small prediction error, while the corresponding computational complexity may scale exponentially in d. We devise a kernel-based learning model capable of trading off prediction error and computational complexity, transitioning from exponential to scaling in many practical settings.
  arXiv  Detail & Related papers  (2024-08-22T08:21:28Z)
• Quantum Simulation of Dissipative Energy Transfer via Noisy Quantum Computer [0.40964539027092917]
  We propose a practical approach to simulate the dynamics of an open quantum system on a noisy computer. Our method leverages gate noises on the IBM-Q real device, enabling us to perform calculations using only two qubits. In the last, to deal with the increasing depth of quantum circuits when doing Trotter expansion, we introduced the transfer tensor method(TTM) to extend our short-term dynamics simulation.
  arXiv  Detail & Related papers  (2023-12-03T13:56:41Z)
• Strategies to simulate dephasing-assisted quantum transport on digital quantum computers [0.0]
  Environment-Assisted Quantum Transport (ENAQT) consists in the modulation and sometimes enhancement of the transfer efficiency by the interaction with an environment. We consider the problem of simulating the dynamics underlying ENAQT in a digital quantum computer. Two different quantum algorithms are introduced, the first one based on Hamiltonians and the second one based on a collision scheme.
  arXiv  Detail & Related papers  (2021-11-04T14:23:08Z)
• 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-Classical Hybrid Algorithm for the Simulation of All-Electron Correlation [58.720142291102135]
  We present a novel hybrid-classical algorithm that computes a molecule's all-electron energy and properties on the classical computer. We demonstrate the ability of the quantum-classical hybrid algorithms to achieve chemically relevant results and accuracy on currently available quantum computers.
  arXiv  Detail & Related papers  (2021-06-22T18:00:00Z)
• 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)
• 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)
• Incoherent quantum algorithm dynamics of an open system with near-term devices [0.0]
  Hybrid quantum-classical algorithms are among the most promising systems to implement quantum computing. We investigate a quantum dynamics algorithm for the density matrix obeying the von Neumann equation. We consider the dynamics of the ensemble-averaged of disordered quantum systems.
  arXiv  Detail & Related papers  (2020-08-12T14:22:42Z)
• 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)

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.