Transmission distance in the space of quantum channels
arXiv:2304.08403 · doi:10.1103/PhysRevA.108.012604
Abstract
We analyze two ways to obtain distinguishability measures between quantum maps by employing the square root of the quantum Jensen-Shannon divergence, which forms a true distance in the space of density operators. The arising measures are the transmission distance between quantum channels and the entropic channel divergence. We investigate their mathematical properties and discuss their physical meaning. Additionally, we establish a chain rule for the entropic channel divergence, which implies the amortization collapse, a relevant result with potential applications in the field of discrimination of quantum channels and converse bounds. Finally, we analyze the distinguishability between two given Pauli channels and study exemplary Hamiltonian dynamics under decoherence.
References in corpus (25)
- Distance measures to compare real and ideal quantum processes
- On a generalization of the Jensen-Shannon divergence and the JS-symmetrization of distances relying on abstract means
- Jensen-Shannon divergence as a measure of distinguishability between mixed quantum states
- Distribution of quantum coherence in multipartite systems
- Properties of Classical and Quantum Jensen-Shannon Divergence
- Quantum Reading of a Classical Digital Memory
- Quantum channels and their entropic characteristics
- Quantum information and precision measurement
- On the metric character of the quantum Jensen-Shannon divergence
- Quantum information and physics: some future directions
- Approaches for approximate additivity of the Holevo information of quantum channels
- Amortized Channel Divergence for Asymptotic Quantum Channel Discrimination
- A fidelity measure for quantum channels
- Quantum Reading Capacity
- Universal bounds for the Holevo quantity, coherent information \\ and the Jensen-Shannon divergence
- A chain rule for the quantum relative entropy
- Quantum Skew Divergence
- The metric property of the quantum Jensen-Shannon divergence
- Entropic bounds on information backflow
- Entropic and trace distance based measures of non-Markovianity
- Dense coding capacity of a quantum channel
- Simulation of non-Pauli Channels
- Quantumness of quantum channels
- Experimentally feasible measures of distance between quantum operations
- On quantum illumination, quantum reading, and the capacity of quantum computation