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Many-Body Anti-Zeno Thermalization and Zeno Determinism in Monitored Hamiltonian Dynamics
Jia-Jin Feng1, Quntao Zhuang1,2
1University of Southern California, Ming Hsieh Department of Electrical and Computer Engineering, Los Angeles, California 90089, USA.
Researchers developed a resource-efficient method using holographic deep thermalization and midcircuit measurements to generate random quantum states. This approach requires only a constant-size bath, significantly reducing resource demands for quantum information science applications.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Cryptography
Background:
- Generating random quantum states is crucial for quantum information science.
- Previous methods required large baths for thermalization and postselection.
- Resource limitations hindered scalability of prior state generation techniques.
Purpose of the Study:
- To propose a resource-efficient scheme for generating random quantum states.
- To reduce the bath size required for quantum state generation.
- To enable the creation of genuinely random states using dynamical circuits.
Main Methods:
- Holographic deep thermalization driven by Hamiltonian evolution.
- Integration of midcircuit measurements within dynamical circuits.
- Analysis of frame potential to quantify state randomness.
Main Results:
- A scheme generating genuinely random states with a constant-size bath was demonstrated.
- Frame potential analysis showed good agreement between simulations and experimental results.
- Observed quantum anti-Zeno and Zeno effects related to midcircuit measurements.
Conclusions:
- The proposed scheme offers a resource-efficient alternative for generating random quantum states.
- Dynamical circuits allow a trade-off between spatial and temporal resources.
- The findings advance the practical generation of quantum states for various applications.
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