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  1. Dynamics of disordered quantum systems with two- and three-dimensional tensor networks

    Publication
    Quantum spin glasses form a good testbed for studying the performance of various quantum annealing and optimization algorithms. In this work we show how two- and three-dimensional …

  2. Disentangling Interacting Systems with Fermionic Gaussian Circuits: Application to the Single Impurity Anderson Model

    Publication
    Tensor network quantum states are powerful tools for strongly correlated systems, tailored to capture local correlations such as in ground states with entanglement area laws. When applying tensor …

  3. Approximate Contraction of Arbitrary Tensor Networks with a Flexible and Efficient Density Matrix Algorithm

    Publication
    Tensor network contractions are widely used in statistical physics, quantum computing, and computer science. We introduce a method to efficiently approximate tensor network contractions using low-rank approximations …

  4. Opening the Black Box inside Grover’s Algorithm

    Publication
    … makes a practical speedup unrealistic even under extremely optimistic assumptions of the evolution of both hardware quality and availability.

  5. Compressing multivariate functions with tree tensor networks

    Publication
    Tensor networks are a compressed format for multi-dimensional data. One-dimensional tensor networks -- often referred to as tensor trains (TT) or matrix product states (MPS) -- are increasingly …

  6. Finite Temperature Minimal Entangled Typical Thermal States Impurity Solver

    Publication
    We present a minimally entangled typical thermal state quantum impurity solver for general multiorbital systems at finite temperatures. We introduce an improved estimator for the single-particle Green …

  7. Dynamical correlation functions from complex time evolution

    Publication
    We present an approach to tame the growth of entanglement during time evolution by tensor network methods. It combines time evolution in the complex plane with a perturbative …

  8. Matrix Product Study of Spin Fractionalization in the 1D Kondo Insulator

    Publication
    The Kondo lattice is one of the classic examples of strongly correlated electronic systems. We conduct a controlled study of the Kondo lattice in one dimension, highlighting the …

  9. Efficient tensor network simulation of IBM's Eagle kicked Ising experiment

    Publication
    We report an accurate and efficient classical simulation of a kicked Ising quantum system on the heavy hexagon lattice. A simulation of this system was recently performed on …

  10. Equilibrium quantum impurity problems via matrix product state encoding of the retarded action

    Publication
    In the 0 + 1 -dimensional imaginary-time path integral formulation of quantum impurity problems, the retarded action encodes the hybridization of the impurity with the bath. In this …

  11. Quantum Fourier Transform Has Small Entanglement

    Publication
    The quantum Fourier transform (QFT) is a key component of many important quantum algorithms, most famously being the essential ingredient in Shor’s algorithm for factoring products of …

  12. Generative modeling via tensor train sketching

    Publication
    In this paper, we introduce a sketching algorithm for constructing a tensor train representation of a probability density from its samples. Our method deviates from the standard recursive …

  13. Bose-Einstein condensation in honeycomb dimer magnets and Yb2Si2O7

    Publication
    An asymmetric Bose-Einstein condensation (BEC) dome was observed in a recent experiment on the quantum dimer magnet Yb2Si2O7 [G. Hester et al., Phys. Rev. Lett. 123, 027201 …

  14. Generative Modeling via Hierarchical Tensor Sketching

    Publication
    We propose a hierarchical tensor-network approach for approximating high-dimensional probability density via empirical distribution. This leverages randomized singular value decomposition (SVD) techniques and involves solving linear …

  15. Density-Matrix Renormalization Group Algorithm for Simulating Quantum Circuits with a Finite Fidelity

    Publication
    We develop a density-matrix renormalization group (DMRG) algorithm for the simulation of quantum circuits. This algorithm can be seen as the extension of the time-dependent DMRG …

  16. Order, disorder, and monopole confinement in the spin-1/2 XXZ model on a pyrochlore tube

    Publication
    We study the ground state and thermodynamic properties of the spin-half XXZ model, with an Ising interaction Jz and a transverse exchange interaction Jx, on a pyrochlore …

  17. Generalization and Overfitting in Matrix Product State Machine Learning Architectures

    Publication
    While overfitting and, more generally, double descent are ubiquitous in machine learning, increasing the number of parameters of the most widely used tensor network, the matrix product state …

  18. The Hubbard model on the Bethe lattice via variational uniform tree states: metal-insulator transition and a Fermi liquid

    Publication
    We numerically solve the Hubbard model on the Bethe lattice with finite coordination number z=3, and determine its zero-temperature phase diagram. For this purpose, we introduce …

  19. Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature

    Publication
    The interplay between thermal and quantum fluctuations controls the competition between phases of matter in strongly correlated electron systems. We study finite-temperature properties of the strongly coupled …

  20. Ground-State Properties of the Hydrogen Chain: Dimerization, Insulator-to-Metal Transition, and Magnetic Phases

    Publication

  21. What limits the simulation of quantum computers?

    Publication
    It is imperative that useful quantum computers be very difficult to simulate classically; otherwise classical computers could be used for the applications envisioned for the quantum ones. Perfect …

  22. Finite temperature density matrix embedding theory

    Publication
    We describe a formulation of the density matrix embedding theory at finite temperature. We present a generalization of the ground-state bath orbital construction that embeds a mean …

  23. A Multi-Scale Tensor Network Architecture for Classification and Regression

    Publication
    We present an algorithm for supervised learning using tensor networks, employing a step of preprocessing the data by coarse-graining through a sequence of wavelet transformations. We represent …

  24. Ground-state properties of the hydrogen chain: insulator-to-metal transition, dimerization, and magnetic phases

    Publication
    Accurate and predictive computations of the quantum-mechanical behavior of many interacting electrons in realistic atomic environments are critical for the theoretical design of materials with desired properties …

  25. Hybrid Purification and Sampling Approach for Thermal Quantum Systems

    Publication
    We propose an algorithm which combines the beneficial aspects of two different methods for studying finite-temperature quantum systems with tensor networks. One approach is the ancilla method …

  26. Modeling Sequences with Quantum States: A Look Under the Hood

    Publication
    Classical probability distributions on sets of sequences can be modeled using quantum states. Here, we do so with a quantum state that is pure and entangled. Because it …

  27. DMRG Approach to Optimizing Two-Dimensional Tensor Networks

    Publication

  28. Multi-sliced Gausslet Basis Sets for Electronic Structure

    Publication
    We introduce highly local basis sets for electronic structure which are very efficient for correlation calculations near the complete basis set limit. Our approach is based on gausslets …

  29. Towards Quantum Machine Learning with Tensor Networks

    Publication
    Machine learning is a promising application of quantum computing, but challenges remain as near-term devices will have a limited number of physical qubits and high error rates …