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The structure of degradable quantum channels (2008)
| Content Provider | CiteSeerX |
|---|---|
| Author | Ruskai, Mary Beth Smith, Graeme |
| Abstract | Degradable quantum channels are among the only channels whose quantum and private classical capacities are known. As such, determining the structure of these channels is a pressing open question in quantum information theory. We give a comprehensive review of what is currently known about the structure of degradable quantum channels, including a number of new results as well as alternate proofs of some known results. In the case of qubits, we provide a complete characterization of all degradable channels with two dimensional output, give a new proof that a qubit channel with two Kraus operators is either degradable or anti-degradable and present a complete description of anti-degradable unital qubit channels with a new proof. For higher output dimensions we explore the relationship between the output and environment dimensions (dB and dE respectively) of degradable channels. For several broad classes of channels we show that they can be modeled with a environment that is “small ” in the sense dE ≤ dB. Such channels include |
| File Format | |
| Publisher Date | 2008-01-01 |
| Access Restriction | Open |
| Subject Keyword | Sense De Db Degradable Quantum Channel Several Broad Class Quantum Information Theory Output Dimension Comprehensive Review Degradable Channel Dimensional Output Qubit Channel Kraus Operator Anti-degradable Unital Qubit Channel Private Classical Capacity Alternate Proof Complete Characterization Environment Dimension Complete Description |
| Content Type | Text |
