Two approaches are presented. The first uses the orbit separation property of invariant rings to distinguish among nonequivalent quantum states. In this context ...

Aug 22, 2024 · Two approaches are presented. The first uses the orbit separation property of invariant rings to distinguish among nonequivalent quantum states.

Bibliographic details on Separation of Orbits under Group Actions with an Application to Quantum Systems.

Separation of Orbits under Group Actions with an Application to Quantum Systems ... Shifts on a Finite Qubit String: A Class of Quantum Baker's Maps.

In the present case of a compact group, the full invariant ring separates all orbits, so a separating set achieves worst-case unique recovery; see Section 3.5 ...

The above principle is frequently used in quantum mechanics. The wavefunction ψ : X → C where X is some configuration space of a dynamical system. If X ...

2.1 Orbits, isotropy groups and proper actions. In this section we are interested in characterising the orbits of a smooth group action by a Lie group G on a ...

Jun 13, 2023 · Abstract. We study a class of orbit recovery problems in which we observe independent copies of an unknown.

Dec 14, 2023 · This work seeks to make explicit the operational connection between the preparation of two-level quantum systems with their corresponding ...

Feb 4, 2019 · ... E on S can be. analysed in terms of two aspects: 1. ('Shape') The type of orbit M(σ) the state. has under the group action compared to. M(E) ...