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This research presents an analog quantum protocol capable of simulating generalized cluster Hamiltonians with translational symmetry on linear spin chains with open boundaries. By achieving ground state preparation where control duration scales moderately with system size, the study addresses a fundamental challenge in realizing Hamiltonian symmetries distinct from the native device architecture. Such advances are critical for improving the efficiency and scalability of analog quantum simulators in near-term hardware.
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Quantum simulation of circular cluster interactions in a linear spin chain

arXiv1 min read

arXiv:2608.24502v1 Announce Type: new Abstract: The preparation of ground states of Hamiltonians with symmetries that are fundamentally different than those of the underlying device is a central challenge for quantum technologies. Here, we address this challenge with an analog protocol for the iconic generalized cluster Hamiltonian with the translational symmetry resultant from periodic boundary conditions based on a magnetization-preserving interaction on a linear geometry with open boundary conditions. Our results show that this goal can be achieved in a control duration that scales only moderately with the number of spins and Hamiltonian interaction complexity.

Abstract:The preparation of ground states of Hamiltonians with symmetries that are fundamentally different than those of the underlying device is a central challenge for quantum technologies. Here, we address this challenge with an analog protocol for the iconic generalized cluster Hamiltonian with the translational symmetry resultant from periodic boundary conditions based on a magnetization-preserving interaction on a linear geometry with open boundary conditions. Our results show that this goal can be achieved in a control duration that scales only moderately with the number of spins and Hamiltonian interaction complexity.

arXiv:2608.24502 [quant-ph]

(or arXiv:2608.24502v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.24502 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 180 words

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