A Variational Ansatz for the Ground State of the Quantum Sherrington-Kirkpatrick Model
arXiv:2204.02923 · doi:10.1103/PhysRevLett.129.220401
Abstract
We present an ansatz for the ground states of the Quantum Sherrington-Kirkpatrick model, a paradigmatic model for quantum spin glasses. Our ansatz, based on the concept of generalized coherent states, very well captures the fundamental aspects of the model, including the ground state energy and the position of the spin glass phase transition. It further enables us to study some previously unexplored features, such as the non-vanishing longitudinal field regime and the entanglement structure of the ground states. We find that the ground state entanglement can be captured by a simple ensemble of weighted graph states with normally distributed phase gates, leading to a volume law entanglement, contrasting with predictions based on entanglement monogamy.
9 pages, 5 figures
References in corpus (10)
- Is Entanglement Monogamous?
- The Quantum Adiabatic Algorithm applied to random optimization problems: the quantum spin glass perspective
- Ground state approximation for strongly interacting systems in arbitrary dimension
- Stability of the quantum Sherrington-Kirkpatrick spin glass model
- A variational method based on weighted graph states
- Existence of replica-symmetry breaking in quantum glasses
- Quantum fluctuations in the transverse Ising spin glass model: A field theory of random quantum spin systems
- Approaching the Ground State of a Quantum Spin Glass using a Zero-Temperature Quantum Monte Carlo
- The de Almeida-Thouless Line in Hierarchical Quantum Spin Glasses
- Energy-gap analysis of quantum spin-glass transitions at zero temperature
Cited by in corpus (20)
- Quantum Annealing: An Overview
- Entanglement and replica symmetry breaking in a driven-dissipative quantum spin glass
- Comment on "Can Neural Quantum States Learn Volume-Law Ground States?"
- Characterization of variational quantum algorithms using free fermions
- Improving the performance of quantum approximate optimization for preparing non-trivial quantum states without translational symmetry
- Exploring the neighborhood of 1-layer QAOA with Instantaneous Quantum Polynomial circuits
- Equilibrium dynamics of infinite-range quantum spin glasses in a field
- Exact Solution for the Transverse Field Sherrington-Kirkpatrick Spin Glass Model with Continuous-Time Quantum Monte Carlo Method
- Quantum annealing of a frustrated magnet
- Zero-temperature Monte Carlo simulations of two-dimensional quantum spin glasses guided by neural network states
- Random Projection using Random Quantum Circuits
- Entanglement-assisted variational algorithm for discrete optimization problems
- Spin-glass quantum phase transition in amorphous arrays of Rydberg atoms
- Development of research network on Quantum Annealing Computation and Information using Google Scholar data
- Quantum Annealing in SK Model Employing Suzuki-Kubo-deGennes Quantum Ising Mean Field Dynamics
- Variational approach to open quantum systems with long-range competing interactions
- Energy gap of quantum spin glasses: a projection quantum Monte Carlo study
- Application of Langevin Dynamics to Advance the Quantum Natural Gradient Optimization Algorithm
- Information Bounds on phase transitions in disordered systems
- Variational matrix product states for combinatorial optimization