Quantum entanglement involved in Grover's and Shor's algorithms: the four-qubit case
In this paper, we study the nature of entanglement in quantum Grover's and Shor's
algorithms. So far, the authors who have been interested in this problem have approached …
algorithms. So far, the authors who have been interested in this problem have approached …
Fine-structure classification of multiqubit entanglement by algebraic geometry
We present a fine-structure entanglement classification under stochastic local operation and
classical communication (SLOCC) for multiqubit pure states. To this end, we employ specific …
classical communication (SLOCC) for multiqubit pure states. To this end, we employ specific …
Algebraic-geometric characterization of tripartite entanglement
To characterize entanglement of tripartite C d⊗ C d⊗ C d systems, we employ algebraic-
geometric tools that are invariants under stochastic local operation and classical …
geometric tools that are invariants under stochastic local operation and classical …
Grover's algorithm and the secant varieties
In this paper we investigate the entanglement nature of quantum states generated by
Grover's search algorithm by means of algebraic geometry. More precisely we establish a …
Grover's search algorithm by means of algebraic geometry. More precisely we establish a …
Entanglement of four qubit systems: A geometric atlas with polynomial compass I (the finite world)
We investigate the geometry of the four qubit systems by means of algebraic geometry and
invariant theory, which allows us to interpret certain entangled states as algebraic varieties …
invariant theory, which allows us to interpret certain entangled states as algebraic varieties …
Asymptotic properties of entanglement polytopes for large number of qubits
Entanglement polytopes have been recently proposed as a way of witnessing the stochastic
local operations and classical communication (SLOCC) multipartite entanglement classes …
local operations and classical communication (SLOCC) multipartite entanglement classes …
Role of the pair potential for the saturation of generalized Pauli constraints
Ö Legeza, C Schilling - Physical Review A, 2018 - APS
The dependence of the (quasi-) saturation of the generalized Pauli constraints on the pair
potential is studied for ground states of few-fermion systems. For this, we consider spinless …
potential is studied for ground states of few-fermion systems. For this, we consider spinless …
Multipartite quantum correlations: symplectic and algebraic geometry approach
We review a geometric approach to classification and examination of quantum correlations
in composite systems. Since quantum information tasks are usually achieved by …
in composite systems. Since quantum information tasks are usually achieved by …
Geometric Constructions over and for Quantum Information
F Holweck - Quantum Physics and Geometry, 2019 - Springer
In this review paper I present two geometric constructions of distinguished nature, one is
over the field of complex numbers ℂ C and the other one is over the two elements field 𝔽 2 F …
over the field of complex numbers ℂ C and the other one is over the two elements field 𝔽 2 F …
[PDF][PDF] Masoud Gharahi
S Mancini - arxiv preprint arxiv:2408.12265, 2024 - researchgate.net
Quantum Entanglement is one of the key manifestations of quantum mechanics that
separate the quantum realm from the classical one. Characterization of entanglement as a …
separate the quantum realm from the classical one. Characterization of entanglement as a …