Mixed-state certification of quantum capacities for noisy communication channels

Abstract

We extend a recent method to detect lower bounds to the quantum capacity of quantum communication channels by considering realistic scenarios with general input probe states and arbitrary detection procedures at the output. Realistic certification relies on a new bound for the coherent information of a quantum channel that can be applied with arbitrary bipartite mixed input states and generalized output measurements.

arXiv comment7 pages, 2 figures

References in corpus (28)

• Prescription for experimental determination of the dynamics of a quantum black box
• The capacity of the noisy quantum channel
• Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
• Quantum data processing and error correction
• Quantum process tomography of a controlled-NOT gate
• Quantum Process Tomography: Resource Analysis of Different Strategies
• Information transmission through a noisy quantum channel
• Ancilla-assisted quantum process tomography
• Tomography of Quantum Operations
• Quantum Channel Capacity of Very Noisy Channels
• Detection of entanglement with few local measurements
• Process tomography of ion trap quantum gates
• A decoupling approach to the quantum capacity
• Informationally complete measurements and groups representation
• Capacity Theorems for Quantum Multiple Access Channels: Classical-Quantum and Quantum-Quantum Capacity Regions
• The structure of degradable quantum channels
• Bell Measurements and Observables
• Experimental quantum process tomography of non trace-preserving maps
• Process tomography of dynamical decoupling in a dense optically trapped atomic ensemble
• Maximum-likelihood reconstruction of CP maps
• Detecting non-Markovianity of quantum evolution via spectra of dynamical maps
• Parameters estimation in quantum optics
• Experimental detection of quantum channel capacities
• Experimental Detection of Quantum Channels
• Quantum channel detection
• Detecting lower bounds to quantum channel capacities
• Witnessing quantum capacities of correlated channels
• Characterization of tomographically faithful states in terms of their Wigner function

Cited by in corpus (3)

• Efficient accessible bounds to the classical capacity of quantum channels
• Bounding the Classical Capacity of Multilevel Damping Quantum Channels
• Detecting Markovianity of Quantum Processes via Recurrent Neural Networks