Entanglement from Tensor Networks on a Trapped-Ion Quantum Computer
The ability to selectively measure, initialize, and reuse qubits during a quantum circuit enables a mapping of the spatial structure of certain tensor-network states onto the dynamics of quantum circuits, thereby achieving dramatic resource savings when simulating quantum systems with limited entang...
Main Authors: | , , , , , , , , , , , |
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Format: | Article |
Language: | English |
Published: |
American Physical Society
2022
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Subjects: | |
Online Access: | View Fulltext in Publisher |
Summary: | The ability to selectively measure, initialize, and reuse qubits during a quantum circuit enables a mapping of the spatial structure of certain tensor-network states onto the dynamics of quantum circuits, thereby achieving dramatic resource savings when simulating quantum systems with limited entanglement. We experimentally demonstrate a significant benefit of this approach to quantum simulation: the entanglement structure of an infinite system - specifically the half-chain entanglement spectrum - is conveniently encoded within a small register of "bond qubits"and can be extracted with relative ease. Using Honeywell's model H0 quantum computer equipped with selective midcircuit measurement and reset, we quantitatively determine the near-critical entanglement entropy of a correlated spin chain directly in the thermodynamic limit and show that its phase transition becomes quickly resolved upon expanding the bond-qubit register. © 2022 American Physical Society. |
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ISBN: | 00319007 (ISSN) |
DOI: | 10.1103/PhysRevLett.128.150504 |