Search citation statements

Paper Sections

Select...

1

1

1

1

Citation Types

0

18

0

Year Published

2010

2017

Publication Types

Select...

4

Relationship

0

4

Authors

Journals

(18 citation statements)

0

18

0

“…[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.…”

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.…”

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 .…”

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.…”

confidence: 99%