Simultaneous classical-quantum capacities of quantum multiple access channels

Abstract

The rates at which classical and quantum information can be simultaneously transmitted from two spatially separated senders to a single receiver over an arbitrary quantum channel are characterized. Two main results are proved in detail. The first describes the region of rates at which one sender can send classical information while the other sends quantum information. The second describes those rates at which both senders can send quantum information. For each of these situations, an example of a channel is given for which the associated region admits a single-letter description. This is the author's Ph.D. dissertation, submitted to the Department of Electrical Engineering at Stanford University in March, 2005. It represents an expanded version of the paper quant-ph/0501045, containing a number of tutorial chapters which may be of independent interest for those learning about quantum Shannon theory.

156 pages, 1 figure

References in corpus (6)

• The capacity of the noisy quantum channel
• Quantum Information and Relativity Theory
• Noncommuting mixed states cannot be broadcast
• Monogamy of entanglement and other correlations
• Coding Theorem and Strong Converse for Quantum Channels
• On the distributed compression of quantum information

Cited by in corpus (13)

• Entanglement-Assisted Capacity of Quantum Multiple-Access Channels
• Capacity Theorems for Quantum Multiple Access Channels: Classical-Quantum and Quantum-Quantum Capacity Regions
• Entanglement-assisted communication of classical and quantum information
• Applications of coherent classical communication and the Schur transform to quantum information theory
• Public and private resource trade-offs for a quantum channel
• Superadditivity of the Classical Capacity with Limited Entanglement Assistance
• Quantum Broadcast Channels with Cooperating Decoders: An Information-Theoretic Perspective on Quantum Repeaters
• Public and private communication with a quantum channel and a secret key
• Entanglement generation with a quantum channel and a shared state
• Error correction schemes for fully correlated quantum channels protecting both quantum and classical information
• Encoding Classical Information in Gauge Subsystems of Quantum Codes
• Higher Rank Matricial Ranges and Hybrid Quantum Error Correction
• The Quantum Multiple-Access Channel with Cribbing Encoders