Detecting lower bounds to quantum channel capacities

Abstract

We propose a method to detect lower bounds to quantum capacities of a noisy quantum communication channel by means of few measurements. The method is easily implementable and does not require any knowledge about the channel. We test its efficiency by studying its performance for most well known single qubit noisy channels and for the generalised Pauli channel in arbitrary finite dimension.

7 pages, 3 figures; changed title; improved and published version

References in corpus (3)

• The structure of degradable quantum channels
• Quantum Capacities of Channels with small Environment
• The quantum capacity with symmetric side channels

Cited by in corpus (14)

• Experimental detection of quantum channel capacities
• Witnessing quantum capacities of correlated channels
• Uncertainty of quantum channels via modified generalized variance and modified generalized Wigner-Yanase-Dyson skew information
• Optimal entanglement witnesses from limited local measurements
• Experimental observation of coherent-information superadditivity in a dephrasure channel
• Entanglement catalysis for quantum states and noisy channels
• Efficient accessible bounds to the classical capacity of quantum channels
• Experimental witnessing of the quantum channel capacity in the presence of correlated noise
• Mixed-state certification of quantum capacities for noisy communication channels
• Certifying high-dimensional quantum channels
• Experimental Lower Bounds to the Classical Capacity of Quantum Channels
• Detection of properties and capacities of quantum channels
• Bounding the Classical Capacity of Multilevel Damping Quantum Channels
• Detecting Quantum Capacities of Continuous-Variable Quantum Channels