Local unitary equivalence and entanglement of multipartite pure states

Journal Article · Wed Sep 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.032121· OSTI ID:21448640

Kraus, B ^[1]

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1. Institute for Theoretical Physics, University of Innsbruck (Austria)

The necessary and sufficient conditions for the equivalence of arbitrary n-qubit pure quantum states under local unitary (LU) operations derived in [B. Kraus, Phys. Rev. Lett. 104, 020504 (2010)] are used to determine the different LU-equivalence classes of up to five-qubit states. Due to this classification new parameters characterizing multipartite entanglement are found and their physical interpretation is given. Moreover, the method is used to derive examples of two n-qubit states (with n>2 arbitrary) which have the properties that all the entropies of any subsystem coincide; however, the states are neither LU equivalent nor can be mapped into each other by general local operations and classical communication.

• OSTI ID: 21448640
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMMUNICATIONS
DATA TRANSMISSION
ENTROPY
INFORMATION
PHYSICAL PROPERTIES
PURE STATES
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
QUANTUM STATES
QUBITS
THERMODYNAMIC PROPERTIES
UNITARITY