3-Local Hamiltonian is QMA-complete
Julia Kempe, Oded Regev
Abstract
It has been shown by Kitaev that the 5-local Hamiltonian problem is QMA-complete. Here we reduce the locality of the problem by showing that 3-local Hamiltonian is already QMA-complete.
Create a lesson
Related papers
Discovering state-of-the-art quantum circuits with large language models
Andi Gu, Alek H. Kemeny, Susanne F. Yelin et al.
Stability of Quantum LDPC States under Local Pauli Noise
Tai-Hsuan Yang, Andrew D. Kim, Akash Vijay et al.
Magic in quantum trajectory unravelings of noisy random quantum circuits
Sara Santos, Alessio Paviglianiti, Vincenzo Savona
Magna: simulating magic state factories as cheaply as Clifford circuits
Yifei Wang, Yingfei Gu
Classical Capacity of Single-Mode Bosonic Gaussian Channels
Gerardo Adesso, Ludovico Lami, Vittorio Giovannetti
SynDebug: A Framework to Debug Logic Bugs in Fault-Tolerant Quantum Computing Programs
Nicholas S. DiBrita, Jack Lange, Tirthak Patel