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

Autor(en)

Sean Hallgren, Daniel Nagaj, Sandeep Narayanaswami

Abstrakt

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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Pennsylvania State University

Journal

Quantum Information & Computation

Band

13

Seiten

721-750

Anzahl der Seiten

30

ISSN

1533-7146

Publikationsdatum

09-2013

Peer-reviewed

Ja

ÖFOS 2012

103026 Quantenoptik, 103008 Experimentalphysik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/c56e1ab5-441a-46cb-92fe-558e41b80060