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Small-world complex network generation on a digital quantum processor
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DOI：10.1038/s41467-022-32056-y.png)
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摘要
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Quantum cellular automata (QCA) evolve qubits in a quantum circuit depending only on the states of their neighborhoods and model how rich physical complexity can emerge from a simple set of underlying dynamical rules. The inability of classical computers to simulate large quantum systems hinders the elucidation of quantum cellular automata, but quantum computers offer an ideal simulation platform. Here, we experimentally realize QCA on a digital quantum processor, simulating a one-dimensional Goldilocks rule on chains of up to 23 superconducting qubits. We calculate calibrated and error-mitigated population dynamics and complex network measures, which indicate the formation of small-world mutual information networks. These networks decohere at fixed circuit depth independent of system size, the largest of which corresponding to 1,056 two-qubit gates. Such computations may enable the employment of QCA in applications like the simulation of strongly-correlated matter or beyond-classical computational demonstrations. The study of complexity in quantum systems is a fascinating topic, which however is still in its infancy, especially at the experimental level. Here, the authors report on the observation of small-world characteristics in the network of quantum correlations within chains of up to 23 superconducting qubits long.
Keyword:
STATISTICAL-MECHANICS
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期刊
IF:
15.7
论文数:
9.4W
被引数:
91.2W
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引用论文
Entangled quantum cellular automata, physical complexity, and Goldilocks rules纠缠量子细胞自动机，物理复杂性和金发姑娘规则
OAAI
OAAI分享收藏High-dimensional one-way quantum processing implemented on d-level cluster states.png)
NATURE PHYSICS
NATURE PHYSICSIF18.4
PREAI
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