35 citations · 35 across the 4 of their papers we have counts for
4 papers
On the rational invariants of quantum systems of -qubits
Luca Candelori, Vladimir Y. Chernyak, John R. Klein
For an -qubit system, a rational function on the space of mixed states which is invariant with respect to the action of the group of local symmetries may be viewed as a detailed…
On the variety of X-states
Luca Candelori, Vladimir Y. Chernyak, John R. Klein
We introduce the notion of an X-state on -qubits. After taking the Zariski closure of the set of X-states in the space of all mixed states, we obtain a complex algebraic variety…
Constraints on scattering amplitudes in multistate Landau-Zener theory
N. A. Sinitsyn, J. Lin, V. Y. Chernyak
We derive a set of constraints, which we will call hierarchy constraints (HCs), on scattering amplitudes of an arbitrary multistate Landau-Zener model (MLZM). The presence of addit…
Loop Calculus and Belief Propagation for q-ary Alphabet: Loop Tower
Vladimir Y. Chernyak, Michael Chertkov
Loop Calculus introduced in [Chertkov, Chernyak '06] constitutes a new theoretical tool that explicitly expresses the symbol Maximum-A-Posteriori (MAP) solution of a general statis…