hamiltonian

UK /ˌhæmɪlˈtəʊ.ni.ən/ US /ˌhæmɪlˈtoʊ.ni.ən/
adj 7noun 4

Definitions

adj

1

Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).

2

That visits each vertex exactly once.

3

Containing a Hamiltonian cycle.

Using the correction of a vector field to characterize isochronicity and explicit computations of this quantity for polynomial vector fields, wa are able to describe a very large class of nonisochronous Hamiltonian system of even degree of degree arbitrary large.

4

Advocated by American politician Alexander Hamilton (1755–1804).

5

Relating to James Hamilton (1769–1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation.

noun

1

A function (of time), denoted H, that corresponds to the total energy of the system.

We contrast this with the case of sampling from the output of a quantum computer running the Quantum Adiabatic Algorithm (QADI) with the restriction that the Hamiltonian that governs the evolution is gapped and stoquastic.

As stoquastic problems we use frustrated Ising Hamiltonians, having random local X and Z fields, and random σ_zσ_z couplings.

2

The observable, denoted H, that corresponds to the total energy of the system.

3

A member of the faction of the US government in the George Washington administration led by Alexander Hamilton.

adj

1

Of or relating to any city named Hamilton.

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