Work

Sequential Generation of Two-Dimensional Super-Area-Law States with Local Parent Hamiltonian

Year: 2025

Type: article

Abstract: We construct examples of highly entangled two-dimensional states by exploiting a correspondence between stochastic processes in d dimensions and quantum states in d + 1 dimensions. The entanglement structure of these states, which we explicitly calculate, can be tuned between area law, sub-volume law, and volume law. This correspondence also enables a sequential generation protocol: the states can be prepared through a series of unitary transformations acting on an auxiliary system. We also discuss the conditions under which these states have local, frustration-free parent Hamiltonians.

Source: PRX Quantum

DOI: 10.1103/t7py-glgv

Author: Wucheng Zhang

Institution: Princeton University

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,450

Funder: Princeton University