Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
18
0

Year Published

2010
2010
2017
2017

Publication Types

Select...
4

Relationship

0
4

Authors

Journals

citations
Cited by 11 publications
(18 citation statements)
references
References 22 publications
0
18
0
Order By: Relevance
“…[13] and Refs. [34,36] to build a Hamiltonian H with a quadratically bigger spectral gap. In that case, H is the so-called discriminant of a Markov process or stochastic matrix.…”
Section: Gap: Frustration-free Hamiltoniansmentioning
confidence: 99%
“…[13] and Refs. [34,36] to build a Hamiltonian H with a quadratically bigger spectral gap. In that case, H is the so-called discriminant of a Markov process or stochastic matrix.…”
Section: Gap: Frustration-free Hamiltoniansmentioning
confidence: 99%
“…It is known how any classical (finite-dimensional) spin model on a lattice can be associated to a quantum model (Somma and Ortiz, 2010 ), defined on the same lattice, by mapping every classical state x i into measurement outcomes of the state | X i 〉 and viceversa. Classically, the spin model has an energy functional that is: Therefore, the energy functional maps into the eigenvalues of the Hamiltonian operator defined in Equation (2), and when performing statistical inference from the observations of the nodes' states in the network, this correspondence allows us to refer directly to the values of the classical variable x i .…”
Section: Model and Methodologymentioning
confidence: 99%
“…In the case of adiabatic time-evolution, both operations coincide such that the density matrix after evolution expressed in the new basis has the same elements as the density matrix before the transformation, expressed in the old basis. The opposite limit, quenching, takes place when de hamiltonian is changed instantly [55]. Generally, the system is no longer in an eigenstate after this quench.…”
Section: −2mentioning
confidence: 99%