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Volume-Entangled Exact Scar States in the PXP and Related Models in Any Dimension
Andrew N Ivanov1, Olexei I Motrunich1
1California Institute of Technology, Department of Physics and Institute for Quantum Information and Matter, Pasadena, California 91125, USA.
Physical Review Letters
|February 21, 2025
Summary
Researchers have discovered exact volume-entangled Einstein-Podolsky-Rosen-type scar states in Rydberg atom systems. These states are preparable on near-term quantum devices and useful for studying quantum dynamics.
Area of Science:
- Quantum physics
- Atomic physics
- Quantum information science
Background:
- Einstein-Podolsky-Rosen (EPR) paradox highlights quantum entanglement.
- Rydberg-blockaded atom systems offer a platform for quantum simulations.
- Scar states are non-trivial quantum states that mimic classical dynamics.
Purpose of the Study:
- To report the first exact volume-entangled EPR-type scar states.
- To explore these states in various geometric configurations of Rydberg atom systems.
- To demonstrate their potential for quantum device applications and quantum dynamics studies.
Main Methods:
- Introduction of a novel zero-energy eigenstate for a periodic boundary condition (PBC) chain.
- Generalization of this eigenstate to diverse geometries and Hamiltonians.
- Development of a preparation protocol using local measurements and native Hamiltonians on Rydberg quantum devices.
Main Results:
- Discovery of exact volume-entangled EPR-type scar states in PXP and related Hamiltonians.
- Demonstration of these states in chain (PBC) and square lattice configurations.
- Successful protocol for preparing these states on near-term Rydberg quantum simulators.
Conclusions:
- The reported scar states are a significant finding in quantum entanglement research.
- These states are experimentally accessible on current quantum hardware.
- They provide a valuable tool for investigating complex quantum dynamics, including out-of-time-order correlators.
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