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arXiv · 1312.1469

The Local Hamiltonian problem on a line with eight states is QMA-complete

Sean Hallgren·Daniel Nagaj·Sandeep Narayanaswami
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Abstract

The Local Hamiltonian problem is the problem of estimating the least eigenvalue of a local Hamiltonian, and is complete for the class QMA. The 1D problem on a chain of qubits has heuristics which work well, while the 13-state qudit case has been shown to be QMA-complete. We show that this problem remains QMA-complete when the dimensionality of the qudits is brought down to 8.

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Sean Hallgren, Daniel Nagaj, Sandeep Narayanaswami. 2013-12-05. The Local Hamiltonian problem on a line with eight states is QMA-complete. https://arxiv.org/abs/1312.1469

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