Engineering entanglement geometry via spacetime-modulated measurements
arXiv:2307.15689 · doi:10.1103/xdyh-9mjz
Abstract
We introduce a general approach to realize quantum states with holographic entanglement structure via monitored dynamics. Starting from random unitary circuits in dimensions, we introduce measurements with a spatiotemporally-modulated density. Exploiting the known critical properties of the measurement-induced entanglement transition, this allows us to engineer arbitrary geometries for the bulk space (with a fixed topology). These geometries in turn control the entanglement structure of the boundary (output) state. We demonstrate our approach by giving concrete protocols for two geometries of interest in two dimensions: the hyperbolic half-plane and a spatial section of the BTZ black hole. We numerically verify signatures of the underlying entanglement geometry, including a direct imaging of entanglement wedges by using locally-entangled reference qubits. Our results provide a concrete platform for realizing geometric entanglement structures on near-term quantum simulators.
arXiv comment5 pages, 3 figures
References in corpus (41)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- The Black Hole in Three Dimensional Space Time
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- Aspects of Holographic Entanglement Entropy
- Many-body localization, thermalization, and entanglement
- Average Entropy of a Subsystem
- Improved Simulation of Stabilizer Circuits
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
- Operator Spreading in Random Unitary Circuits
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Chaos in quantum channels
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Measurement-driven entanglement transition in hybrid quantum circuits
- Entanglement Renyi entropies in holographic theories
- Theory of the phase transition in random unitary circuits with measurements
- Measurement-induced criticality in random quantum circuits
- Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
- Random Quantum Circuits
- Holographic duality from random tensor networks
- Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
- Dynamical purification phase transitions induced by quantum measurements
- Critical properties of the measurement-induced transition in random quantum circuits
- Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
- Scalable probes of measurement-induced criticality
- Information Scrambling in Computationally Complex Quantum Circuits
- Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions
- Emergent statistical mechanics of entanglement in random unitary circuits
- Entanglement phase transitions in measurement-only dynamics
- Entanglement Transitions from Holographic Random Tensor Networks
- Statistical mechanics of quantum error correcting codes
- Conformal invariance and quantum non-locality in critical hybrid circuits
- Operator scaling dimensions and multifractality at measurement-induced transitions
- Measurement-Induced Power-Law Negativity in an Open Monitored Quantum Circuit
- A Random Unitary Circuit Model for Black Hole Evaporation
- Entanglement Domain Walls in Monitored Quantum Circuits and the Directed Polymer in a Random Environment
- Infinite-randomness criticality in monitored quantum dynamics with static disorder