Title
Shorter unentangled proofs for ground state connectivity.
Abstract
Can one considerably shorten a proof for a quantum problem by using a protocol with a constant number of unentangled provers? We consider a frustration-free variant of the -complete ground state connectivity (GSCON) problem for a system of size with a proof of superlinear size. We show that we can shorten this proof in : There exists a two-copy, unentangled proof with length of order , up to logarithmic factors, while the completeness–soundness gap of the new protocol becomes a small inverse polynomial in .
Year
DOI
Venue
2018
https://doi.org/10.1007/s11128-018-1944-4
Quantum Information Processing
Keywords
Field
DocType
Quantum complexity,QMA(2),Unentanglement,Short proofs,Ground state connectivity problem (GSCON)
Quantum,Discrete mathematics,Inverse,Ground state,Existential quantification,Polynomial,Quantum mechanics,Mathematical proof,Logarithm,Physics
Journal
Volume
Issue
ISSN
17
7
Quantum Inf Process (2018) 17: 174
Citations 
PageRank 
References 
0
0.34
7
Authors
3
Name
Order
Citations
PageRank
Libor Caha100.34
Daniel Nagaj2575.84
Martin Schwarz300.68