Succinct Description and Efficient Simulation of Non-Markovian Open Quantum Systems

• URL: http://arxiv.org/abs/2111.03240v2
• Date: Mon, 27 Feb 2023 21:23:01 GMT
• Title: Succinct Description and Efficient Simulation of Non-Markovian Open Quantum Systems
• Authors: Xiantao Li, Chunhao Wang
• Abstract summary: 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.
• Score: 1.713291434132985
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Markovian open quantum systems represent the most general dynamics when the quantum system is coupled with a bath environment. The quantum dynamics arising from many important applications are non-Markovian. Although for special cases, such as Hamiltonian evolution and Lindblad evolution, quantum simulation algorithms have been extensively studied, efficient quantum simulations for the dynamics of non-Markovian open quantum systems remain underexplored. The most immediate obstacle for studying such systems is the lack of a universal succinct description of their dynamics. In this work, we fulfill the gap of studying such dynamics by 1) providing a succinct representation of the dynamics of non-Markovian open quantum systems with quantifiable error, and 2) developing an efficient quantum algorithm for simulating such dynamics with cost $O(t\, \mathrm{polylog}(t/\epsilon))$ for evolution time $t$ and precision $\epsilon$. Our derivation of the succinct representation is based on stochastic Schr\"odinger equations, which could lead to new alternatives to deal with open quantum systems as well.

Related papers

• Fourier Neural Operators for Learning Dynamics in Quantum Spin Systems [77.88054335119074]
  We use FNOs to model the evolution of random quantum spin systems. We apply FNOs to a compact set of Hamiltonian observables instead of the entire $2n$ quantum wavefunction.
  arXiv  Detail & Related papers  (2024-09-05T07:18:09Z)
• 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)
• Towards Quantum Simulation of Non-Markovian Open Quantum Dynamics: A Universal and Compact Theory [10.708145906104205]
  We introduce the dissipaton-embedded quantum master equation in second quantization (DQME-SQ) This exact and compact theory offers two key advantages: representability by quantum circuits and universal applicability to any Gaussian environment. We demonstrate these capabilities through digital quantum simulations of non-Markovian dissipative dynamics in both bosonic and fermionic environments.
  arXiv  Detail & Related papers  (2024-01-30T18:46:30Z)
• 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)
• 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)
• Experimental simulation of open quantum system dynamics via Trotterization [8.581263348642212]
  We experimentally demonstrate a digital simulation of an open quantum system in a controllable Markovian environment. By Trotterizing the quantum Liouvillians, the continuous evolution of an open quantum system is effectively realized. High-order Trotter for open quantum dynamics is also experimentally investigated and shows higher accuracy.
  arXiv  Detail & Related papers  (2021-08-05T06:17:26Z)
• Preserving quantum correlations and coherence with non-Markovianity [50.591267188664666]
  We demonstrate the usefulness of non-Markovianity for preserving correlations and coherence in quantum systems. For covariant qubit evolutions, we show that non-Markovianity can be used to preserve quantum coherence at all times.
  arXiv  Detail & Related papers  (2021-06-25T11:52:51Z)
• 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)
• Preparing random states and benchmarking with many-body quantum chaos [48.044162981804526]
  We show how to predict and experimentally observe the emergence of random state ensembles naturally under time-independent Hamiltonian dynamics. The observed random ensembles emerge from projective measurements and are intimately linked to universal correlations built up between subsystems of a larger quantum system. Our work has implications for understanding randomness in quantum dynamics, and enables applications of this concept in a wider context.
  arXiv  Detail & Related papers  (2021-03-05T08:32:43Z)
• 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)
• Capturing Non-Markovian Dynamics on Near-Term Quantum Computers [0.0]
  quantum algorithms for the treatment of open quantum systems (OQSs) have remained under-explored. We present and validate a new quantum algorithm to treat non-Markovian dynamics in OQSs built on the Ensemble of Lindblad's Trajectories approach.
  arXiv  Detail & Related papers  (2020-04-30T18:02:15Z)

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.