An Uncertainty Principle For Completely Positive Maps

Abstract

We present an "uncertainty principle" for quantum channels, showing a relationship between the dimensions of the range of a channel and the range of its complement. We examine some interesting specific cases, and discuss consequences for privacy of quantum channels.

References in corpus (4)

• A Unified and Generalized Approach to Quantum Error Correction
• Complementarity of Private and Correctable Subsystems in Quantum Cryptography and Error Correction
• Private Quantum Subsystems
• Quantum Subsystems: Exploring the Complementarity of Quantum Privacy and Error Correction

Cited by in corpus (1)

• Eventually Entanglement Breaking Maps