Mimicking quantum correlation of a long-range Hamiltonian by finite-range interactions
arXiv:2206.09199 · doi:10.1103/PhysRevA.106.052425
Abstract
The quantum long-range extended Ising model possesses several striking features that cannot be observed in the corresponding short-range model. We report that the pattern obtained from the entanglement between any two arbitrary sites of the long-range model can be mimicked by the model having a finite range of interactions provided the interaction strength is moderate. On the other hand, we illustrate that when the interactions are strong, the entanglement distribution in the long-range model does not match the class of a model with a few interactions. We also show that the monogamy score of entanglement is in good agreement with the behavior of pairwise entanglement. Specifically, it saturates when the entanglement in the finite-range Hamiltonian behaves similarly to the long-range model, while it decays algebraically otherwise.
v1: 14 pages, 9 figures, v2: title changed and close to the published version
References in corpus (77)
- Quantum Computing in the NISQ era and beyond
- Many-Body Physics with Ultracold Gases
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Variational Quantum Algorithms
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Quantum information with Rydberg atoms
- Distributed Entanglement
- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
- The classical-quantum boundary for correlations: discord and related measures
- The logarithmic negativity: A full entanglement monotone that is not convex
- Characterizing Quantum Supremacy in Near-Term Devices
- An Area Law for One Dimensional Quantum Systems
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Realizing a lattice spin model with polar molecules
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Quantum computing with defects
- Bose-Einstein Condensation of Erbium
- Non-local propagation of correlations in long-range interacting quantum systems
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
- Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
- Violation of the entropic area law for Fermions
- Room temperature entanglement between distant single spins in diamond
- Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
- Quantum degenerate dipolar Fermi gas
- Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
- Spread of correlations in long-range interacting quantum systems
- Variational optimization algorithms for uniform matrix product states
- Entanglement entropy for the long range Ising chain
- Quantum Approximate Optimization of the Long-Range Ising Model with a Trapped-Ion Quantum Simulator
- Kitaev chains with long-range pairing
- Quantum discord and its allies: a review
- Entanglement growth in quench dynamics with variable range interactions
- Equipartition of the Entanglement Entropy
- Frustration and glassiness in spin models with cavity-mediated interactions
- Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
- Breakdown of quasilocality in long-range quantum lattice models
- Long-range Ising and Kitaev Models: Phases, Correlations and Edge Modes
- Finite speed of quantum scrambling with long range interactions
- Anomalous Behavior of Spin Systems with Dipolar Interactions
- Strictly linear light cones in long-range interacting systems of arbitrary dimensions
- Probing the role of long-range interactions in the dynamics of a long-range Kitaev Chain
- Quantum discord in finite XY chains
- Hierarchy of linear light cones with long-range interactions
- Entanglement Entropy of Non Unitary Conformal Field Theory
- Entanglement in non-unitary quantum critical spin chains
- Classical variational simulation of the Quantum Approximate Optimization Algorithm
- Entanglement area laws for long-range interacting systems
- Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition
- Universal Scaling Laws for Correlation Spreading in Quantum Systems with Short- and Long-Range Interactions
- Locality and digital quantum simulation of power-law interactions
- Dynamical critical scaling of long-range interacting quantum magnets
- Critical Phenomena and Kibble-Zurek Scaling in the Long-Range Quantum Ising Chain
- Fast State Transfer and Entanglement Renormalization Using Long-Range Interactions
- Causality and quantum criticality in long-range lattice models
- Entanglement and fluctuations in the XXZ model with power-law interactions
- Long-range quantum discord in critical spin systems
- Long-range vs. short-range effects in cold molecular ion-neutral collisions: Charge exchange of Rb with N and O
- Fidelity and criticality of quantum Ising chain with long-range interactions
- Excited state entanglement in homogeneous fermionic chains
- Ground state factorization and correlations with broken symmetry
- Quasiparticles in quantum spin chains with long-range interactions
- Spreading of correlations in exactly-solvable quantum models with long-range interactions in arbitrary dimensions
- Entanglement entropy in the Long-Range Kitaev chain
- Entanglement in fermionic chains with finite range coupling and broken symmetries
- Long-range multi-body interactions and three-body anti-blockade in a trapped Rydberg ion chain
- Sonic horizons and causality in the phase transition dynamics
- One-dimensional quantum many body systems with long-range interactions
- Spreading of Correlations and Entanglement in the Long-Range Transverse Ising Chain
- Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
- Quantum criticality using a superconducting quantum processor
- Enhancement of Quantum Correlation Length in Quenched Disordered Spin Chains
- Entanglement, fractional magnetization and long-range interactions
- Optimal Frobenius light cone in spin chains with power-law interactions
- Sublogarithmic behaviour of the entanglement entropy in fermionic chains
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