Rational local unitary invariants of symmetrically mixed states of two qubits

Journal Article · 31 January 2024 · Advances in Applied Mathematics

DOI:https://doi.org/10.1016/j.aam.2023.102613· OSTI ID:2001163

Candelori, Luca; Chernyak, Vladimir Y.; Klein, John R.; Rekuski, Nick

Not Available

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Journal Information:: Advances in Applied Mathematics, Journal Name: Advances in Applied Mathematics Journal Issue: C Vol. 153; ISSN 0196-8858

References (8)

Geometric Invariant Theory Wallach, Nolan R. Universitext https://doi.org/10.1007/978-3-319-65907-7	book	January 2017
Éléments de Géométrie algébrique Grothendieck, A.; Dieudonné, J. Publications mathématiques de l'IHÉS, Vol. 4, Issue 1 https://doi.org/10.1007/BF02684778	journal	January 1960
Complex symmetric matrices Craven, B. D. Journal of the Australian Mathematical Society, Vol. 10, Issue 3-4 https://doi.org/10.1017/S1446788700007588	journal	November 1969
An analog of the singular value decomposition for complex orthogonal equivalence Choudhury, Dipa; Horn, Roger A. Linear and Multilinear Algebra, Vol. 21, Issue 2 https://doi.org/10.1080/03081088708817787	journal	June 1987
A mixed two-qubit system and the structure of its ring of local invariants King, R. C.; Welsh, T. A.; Jarvis, P. D. Journal of Physics A: Mathematical and Theoretical, Vol. 40, Issue 33 https://doi.org/10.1088/1751-8113/40/33/011	journal	August 2007
Entangled Bloch spheres: Bloch matrix and two-qubit state space Gamel, Omar Physical Review A, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevA.93.062320	journal	June 2016
Quantum entanglement Horodecki, Ryszard; Horodecki, Paweł; Horodecki, Michał Reviews of Modern Physics, Vol. 81, Issue 2 https://doi.org/10.1103/RevModPhys.81.865	journal	June 2009
Some Basic Theorems on Algebraic Groups Rosenlicht, Maxwell American Journal of Mathematics, Vol. 78, Issue 2 https://doi.org/10.2307/2372523	journal	April 1956

Effective rationality for local unitary invariants of mixed states of two qubits

Journal Article · 2024 · Journal of Physics. A, Mathematical and Theoretical · OSTI ID:2578859

Journal Article · 2011 · Physical Review. A · OSTI ID:22080379

Local unitary invariants for N-qubit pure states

Journal Article · 2010 · Physical Review. A · OSTI ID:21528619