Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Polynomial invariants of four qubits

Journal Article · · Physical Review. A
;  [1]
  1. Institut Gaspard Monge, Universite de Marne-la-Vallee, 77454 Marne-la-Vallee cedex (France)
We describe explicitly the algebra of polynomial functions on the Hilbert space of four-qubit states that are invariant under the group SL(2,C){sup 4} of stochastic local quantum operations assisted by classical communication. From this description, we obtain a closed formula for the hyperdeterminant in terms of low degree invariants.
OSTI ID:
20633948
Journal Information:
Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 67; ISSN 1050-2947; ISSN PLRAAN
Country of Publication:
United States
Language:
English

Similar Records

Polynomial invariants for discrimination and classification of four-qubit entanglement
Journal Article · Sun May 15 00:00:00 EDT 2011 · Physical Review. A · OSTI ID:21546747

Measuring polynomial invariants of multiparty quantum states
Journal Article · Sat May 01 00:00:00 EDT 2004 · Physical Review. A · OSTI ID:20641117

Quantum Lorentz-group invariants of n-qubit systems
Journal Article · Thu May 01 00:00:00 EDT 2003 · Physical Review. A · OSTI ID:20636354