Invariant information and complementarity in high-dimensional states

2007/07/26 by Wei Song, Zeng-Bing Chen, Zeng‐Bing Chen
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum many-body systems #quant-ph

paper · pdf · doi:10.1103/physreva.76.014307

published as Phys. Rev. A 76, 014307 (2007) · 4 pages, 2 figures

openalex publication_date 2007/07/26 · arxiv created 2007/08/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a generalization of the invariant information introduced by Brukner and Zeilinger [Phys. Rev. Lett. 83, 3354 (1999)] to high-dimensional systems, we introduce a complementarity relation between the local and nonlocal information for d\ifmmode×\else\texttimes\fid systems under an isolated environment, where d is prime or a power of a prime number. We also analyze the dynamics of the local information in the decoherence process.

Citations

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Information-theoretic measure of genuine multiqubit entanglement
• Can Quantum-Mechanical Description of Physical Reality be Considered Complete?
• Distributed Entanglement