qHEOM: A Quantum Algorithm for Simulating Non-Markovian Quantum Dynamics Using the Hierarchical Equations of Motion

• URL: http://arxiv.org/abs/2411.12049v1
• Date: Mon, 18 Nov 2024 20:41:10 GMT
• Title: qHEOM: A Quantum Algorithm for Simulating Non-Markovian Quantum Dynamics Using the Hierarchical Equations of Motion
• Authors: Xiaohan Dan, Eitan Geva, Victor S. Batista,
• Abstract summary: 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.
• Score: 0.0
• License:
• Abstract: Quantum computing offers promising new avenues for tackling the long-standing challenge of simulating the quantum dynamics of complex chemical systems, particularly open quantum systems coupled to external baths. However, simulating such non-unitary dynamics on quantum computers is challenging since quantum circuits are specifically designed to carry out unitary transformations. Furthermore, chemical systems are often strongly coupled to the surrounding environment, rendering the dynamics non-Markovian and beyond the scope of Markovian quantum master equations like Lindblad or Redfield. In this work, 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 (NISQ) computers. We illustrate the method as applied in conjunction with the numerically exact hierarchical equations of motion (HEOM) method. The effectiveness of the resulting quantum HEOM algorithm (qHEOM) is demonstrated as applied to simulations of the non-Lindbladian electronic energy and charge transfer dynamics in models of the carotenoid-porphyrin-C60 molecular triad dissolved in tetrahydrofuran and the Fenna-Matthews-Olson complex.

Related papers

• Parallel Quantum Computing Simulations via Quantum Accelerator Platform Virtualization [44.99833362998488]
  We present a model for parallelizing simulation of quantum circuit executions. The model can take advantage of its backend-agnostic features, enabling parallel quantum circuit execution over any target backend.
  arXiv  Detail & Related papers  (2024-06-05T17:16:07Z)
• Quantum Simulation of Open Quantum Dynamics via Non-Markovian Quantum State Diffusion [2.9413085575648235]
  Quantum simulation of non-Markovian open quantum dynamics is essential but challenging for standard quantum computers. We introduce a hybrid quantum-classical algorithm designed for simulating dissipative dynamics in system with non-Markovian environment.
  arXiv  Detail & Related papers  (2024-04-16T15:31:25Z)
• Digital quantum simulation of non-perturbative dynamics of open systems with orthogonal polynomials [0.0]
  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.
  arXiv  Detail & Related papers  (2022-03-28T11:16:33Z)
• 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)
• Succinct Description and Efficient Simulation of Non-Markovian Open Quantum Systems [1.713291434132985]
  Non-Markovian open quantum systems represent the most general dynamics when the quantum system is coupled with a bath environment. We provide a succinct representation of the dynamics of non-Markovian open quantum systems with quantifiable error. We also develop an efficient quantum algorithm for simulating such dynamics.
  arXiv  Detail & Related papers  (2021-11-05T03:35:50Z)
• 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)
• An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian Simulation [55.41644538483948]
  Current generation noisy intermediate-scale quantum (NISQ) computers are severely limited in chip size and error rates. We derive localized circuit transformations to efficiently compress quantum circuits for simulation of certain spin Hamiltonians known as free fermions. The proposed numerical circuit compression algorithm behaves backward stable and scales cubically in the number of spins enabling circuit synthesis beyond $mathcalO(103)$ spins.
  arXiv  Detail & Related papers  (2021-08-06T19:38:03Z)
• Efficient Quantum Simulation of Open Quantum System Dynamics on Noisy Quantum Computers [0.0]
  We show that quantum dissipative dynamics can be simulated efficiently across coherent-to-incoherent regimes. This work provides a new direction for quantum advantage in the NISQ era.
  arXiv  Detail & Related papers  (2021-06-24T10:37:37Z)
• 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 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.