Channel capacities versus entanglement measures in multiparty quantum states

2009/09/16 by Aditi Sen, Aditi Sen De, Ujjwal Sen · 148 citations
Computer Science · Physics and Astronomy · #Channel (broadcasting) #Computer science #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum entanglement #Quantum mechanics #Quantum teleportation #Telecommunications #quant-ph

paper · pdf · doi:10.1103/physreva.81.012308

published in Physical Review A 81(1) (American Physical Society) · 6 pages, 2 figures, RevTeX4; v2: minor changes, some implications strengthened

arxiv created 2009/09/16 · openalex publication_date 2010/01/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

For quantum states of two subsystems, highly entangled states have a higher capacity of transmitting classical as well as quantum information, and vice versa. We show that this is no more the case in general: Quantum capacities of multiaccess channels, motivated by communication in quantum networks, do not have any relation with genuine multiparty entanglement measures. Importantly, the statement is demonstrated for arbitrary multipartite entanglement measures. Along with revealing the structural richness of multiaccess channels, this gives us a tool to classify multiparty quantum states from the perspective of its usefulness in quantum networks, which cannot be visualized by any genuine multiparty entanglement measure.

Citations

• Capacities of quantum channels and how to find them
• Teleportation and Dense Coding with Genuine Multipartite Entanglement
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Three qubits can be entangled in two inequivalent ways
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Quantum non-locality in two three-level systems
• Resource-Efficient Linear Optical Quantum Computation
• Measurement-based quantum computation with cluster states
• Fault-tolerant quantum computation by anyons
• Entanglement in many-body systems
• Quantifying Entanglement
• Quantum entanglement

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