4 citations · 4 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…
Effective Rationality for Local Unitary Invariants of Mixed States of Two Qubits
Luca Candelori, Vladimir Y. Chernyak, John R. Klein +1
We calculate the field of rational local unitary invariants for mixed states of two qubits, by employing methods from algebraic geometry. We prove that this field is rational (i.e.…
The transformation laws of algebraic theta functions
Luca Candelori
We give a comprehensive treatment of the transformation laws of theta functions from an algebro-geometric perspective, that is, in terms of moduli of abelian schemes. This is accom…