Unitary invariants of qubit systems

DOI10.1017/S0960129507006330zbMath1132.81009arXivquant-ph/0604202MaRDI QIDQ5437027

Jean-Yves Thibon, Frédéric Toumazet, Jean-Gabriel Luque

Publication date: 18 January 2008

Published in: Mathematical Structures in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0604202

Mathematics Subject Classification ID

Quantum computation (81P68)

Related Items (8)

Quantum circuits generating four-qubit maximally entangled states ⋮ A finite-tame-wild trichotomy theorem for tensor diagrams ⋮ Low degree Lorentz invariant polynomials as potential entanglement invariants for multiple Dirac spinors ⋮ The \(n\)-tangle of odd \(n\) qubits ⋮ Sequential generation of polynomial invariants and \(N\)-body non-local correlations ⋮ Quantum encoding and entanglement in terms of phase operators associated with harmonic oscillator ⋮ Wrapped Branes as Qubits ⋮ Stable Hilbert series as related to the measurement of quantum entanglement

Cites Work

• The maximal entangled three-particle state is unique.
• The moduli space of three-qutrit states
• Algebraic invariants of five qubits
• A complete set of covariants of the four qubit system
• Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states
• A bipartite class of entanglement monotones forN-qubit pure states
• Global entanglement in multiparticle systems
• Proposed Experiment to Test Local Hidden-Variable Theories
• ENTANGLEMENT MONOTONES AND MAXIMALLY ENTANGLED STATES IN MULTIPARTITE QUBIT SYSTEMS
• On the Problem of Hidden Variables in Quantum Mechanics
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?

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