Tensor decompositions with applications to local unitary and stochastic local operations and classical communication equivalence of multipartite pure states

DOI10.1137/24M1643451MaRDI QIDQ6660923

Luke Oeding, Ian Tan

Publication date: 10 January 2025

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

zbMATH Keywords

entanglementquantum informationtensor decomposition

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Multilinear algebra, tensor calculus (15A69) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Tensor Decompositions and Applications
• SLOCC classification of \(n\) qubits invoking the proportional relationships for spectrums and standard Jordan normal forms
• Complexity of matrix problems
• Hyperdeterminants from the \(E_8\) discriminant
• High order singular value decomposition for plant diversity estimation
• A finite-tame-wild trichotomy theorem for tensor diagrams
• A very brief introduction to quantum computing and quantum information theory for mathematicians
• Ternary trilinear forms in the field of complex numbers.
• Random Projections for Low Multilinear Rank Tensors
• Freudenthal ranks: GHZ versus W
• A Multilinear Singular Value Decomposition
• Orbits and invariants of cubic matrices of order three
• The classification of (3, 3, 3) trilinear forms.
• Local Unitary Equivalence of Multipartite Pure States
• Classification of four qubit states and their stabilisers under SLOCC operations
• Necessary and sufficient conditions for local manipulation of multipartite pure quantum states
• Almost all multipartite qubit quantum states have trivial stabilizer
• Matrix theory. Basic results and techniques
• Classification of real and complex three-qutrit states
• Quantum computation and quantum information. A mathematical perspective

This page was built for publication: Tensor decompositions with applications to local unitary and stochastic local operations and classical communication equivalence of multipartite pure states

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6660923)