Efficient Large-Scale Many-Body Quantum Dynamics via Local-Information Time Evolution

• URL: http://arxiv.org/abs/2310.06036v4
• Date: Mon, 10 Jun 2024 13:37:46 GMT
• Title: Efficient Large-Scale Many-Body Quantum Dynamics via Local-Information Time Evolution
• Authors: Claudia Artiaco, Christoph Fleckenstein, David Aceituno Chávez, Thomas Klein Kvorning, Jens H. Bardarson,
• Abstract summary: We use the recently introduced information lattice to organize quantum information into different scales. We define local information and information currents which we employ to systematically discard long-range quantum correlations. We present results for energy transport in the mixed-field Ising model and magnetization transport in an open XX spin chain.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: During time evolution of many-body systems entanglement grows rapidly, limiting exact simulations to small-scale systems or small timescales. Quantum information tends however to flow towards larger scales without returning to local scales, such that its detailed large-scale structure does not directly affect local observables. This allows for the removal of large-scale quantum information in a way that preserves all local observables and gives access to large-scale and large-time quantum dynamics. To this end, we use the recently introduced information lattice to organize quantum information into different scales, allowing us to define local information and information currents which we employ to systematically discard long-range quantum correlations in a controlled way. Our approach relies on decomposing the system into subsystems up to a maximum scale and time evolving the subsystem density matrices by solving the subsystem von Neumann equations in parallel. Importantly, the information flow needs to be preserved during the discarding of large-scale information. To achieve this without the need to make assumptions about the microscopic details of the information current, we introduce a second scale at which information is discarded while using the state at the maximum scale to accurately obtain the information flow. The resulting algorithm, which we call local information time evolution (LITE), is highly versatile and suitable for investigating many-body quantum dynamics in both closed and open quantum systems with diverse hydrodynamic behaviors. We present results for energy transport in the mixed-field Ising model and magnetization transport in an open XX spin chain where we accurately determine the diffusion coefficients. The information lattice framework employed here promises to offer insightful results about the spatial and temporal behavior of entanglement in many-body systems.

Related papers

• Observation of quantum information collapse-and-revival in a strongly-interacting Rydberg atom array [23.95382881394397]
  We present the first measurements of out-of-time correlators and Holevo information in a Rydberg atom array. By leveraging these tools, we observe a novel qu-temporal collapse-revival behaviour of quantum information. Our experiment sheds light on the unique information dynamics in many-body systems with kinetic constraints.
  arXiv  Detail & Related papers  (2024-10-20T17:44:39Z)
• Quantum information scrambling in adiabatically-driven critical systems [49.1574468325115]
  Quantum information scrambling refers to the spread of the initially stored information over many degrees of freedom of a quantum many-body system. Here, we extend the notion of quantum information scrambling to critical quantum many-body systems undergoing an adiabatic evolution.
  arXiv  Detail & Related papers  (2024-08-05T18:00:05Z)
• Information scrambling in quantum walks: Discrete-time formulation of Krylov complexity [0.0]
  We consider out-of-time-ordered correlators (OTOC) and K-complexity as a probe of information scrambling. We formulate the K-complexity in system with discrete-time evolution, and show that it grows linearly in discrete-time quantum walk.
  arXiv  Detail & Related papers  (2024-06-09T17:38:50Z)
• Efficient algorithms for quantum information bottleneck [64.67104066707309]
  We propose a new and general algorithm for the quantum generalisation of information bottleneck. Our algorithm excels in the speed and the definiteness of convergence compared with prior results. Notably, we discover that a quantum system can achieve strictly better performance than a classical system of the same size regarding quantum information bottleneck.
  arXiv  Detail & Related papers  (2022-08-22T14:20:05Z)
• Phase-transition-like behavior in information retrieval of a quantum scrambled random circuit system [0.0]
  Information in a chaotic quantum system will scramble across the system, preventing any local measurement from reconstructing it. Here we use Holevo information to quantify the scrambling dynamics, which shows a phase-transition-like behavior.
  arXiv  Detail & Related papers  (2022-05-27T18:00:07Z)
• Scalable approach to many-body localization via quantum data [69.3939291118954]
  Many-body localization is a notoriously difficult phenomenon from quantum many-body physics. We propose a flexible neural network based learning approach that circumvents any computationally expensive step. Our approach can be applied to large-scale quantum experiments to provide new insights into quantum many-body physics.
  arXiv  Detail & Related papers  (2022-02-17T19:00:09Z)
• Time-evolution of local information: thermalization dynamics of local observables [0.0]
  Quantum many-body dynamics results in increasing entanglement that eventually leads to thermalization of local observables. For accurate but approximate simulations one needs a way to keep track of essential (quantum) information while discarding inessential one. We first introduce the concept of the information lattice, which supplements the physical spatial lattice with an additional dimension and where a local Hamiltonian gives rise to well defined locally conserved von Neumann information current.
  arXiv  Detail & Related papers  (2021-05-24T11:22:30Z)
• Tracing Information Flow from Open Quantum Systems [52.77024349608834]
  We use photons in a waveguide array to implement a quantum simulation of the coupling of a qubit with a low-dimensional discrete environment. Using the trace distance between quantum states as a measure of information, we analyze different types of information transfer.
  arXiv  Detail & Related papers  (2021-03-22T16:38:31Z)
• 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-Theoretic Memory Scaling in the Many-Body Localization Transition [68.8204255655161]
  We study the understanding of local memory in the context of many-body localization. We introduce the dynamical Holevo quantity as the true quantifier of local memory. We find clear scaling behavior in its steady-state across the many-body localization transition.
  arXiv  Detail & Related papers  (2020-09-09T18:00:01Z)

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.