Partially Coherent Direct Sum Channels
arXiv:2008.00494 · doi:10.22331/q-2021-07-15-504
Abstract
We introduce Partially Coherent Direct Sum (PCDS) quantum channels, as a generalization of the already known Direct Sum quantum channels. We derive necessary and sufficient conditions to identify the subset of those maps which are degradable, and provide a simplified expression for their quantum capacities. Interestingly, the special structure of PCDS allows us to extend the computation of the quantum capacity formula also for quantum channels which are explicitly not degradable (nor antidegradable). We show instances of applications of the results to dephasing channels, amplitude damping channels and combinations of the two.
References in corpus (41)
- Quantum cryptography: Public key distribution and coin tossing
- The capacity of the noisy quantum channel
- Entanglement-Assisted Classical Capacity of Noisy Quantum Channels
- Superadditivity of communication capacity using entangled inputs
- From Classical to Quantum Shannon Theory
- High-dimensional quantum communication: benefits, progress, and future challenges
- Quantum teleportation in high dimensions
- Multi-valued Logic Gates for Quantum Computation
- Molecular Spin Qudits for Quantum Algorithms
- Quantum Communication With Zero-Capacity Channels
- A Survey on Quantum Channel Capacities
- Fundamentals of Quantum Information Theory
- Efficient Toffoli Gates Using Qudits
- High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments
- Quantum channels and their entropic characteristics
- Ultracold polar molecules as qudits
- Information-capacity description of spin-chain correlations
- Quantum Error Correcting Codes Using Qudit Graph States
- Computational speed-up in a single qudit NMR quantum information processor
- Computational speed-up with a single qudit
- Experimental quantum tomography of photonic qudits via mutually unbiased basis
- Experimental engineering of arbitrary qudit states with discrete-time quantum walks
- Quantum Capacity of a dephasing channel with memory
- Degradability of Bosonic Gaussian channels
- The private classical capacity with a symmetric side channel and its application to quantum cryptography
- Trade-off capacities of the quantum Hadamard channels
- Simplifying additivity problems using direct sum constructions
- Photonic qubits, qutrits and ququads accurately prepared and delivered on demand
- Dephrasure channel and superadditivity of coherent information
- Overcoming erasure errors with multilevel systems
- Private information via the Unruh effect
- Qudit-Teleportation for photons with linear optics
- Conjugate Degradability and the Quantum Capacity of Cloning Channels
- Classical and quantum capacities of a fully correlated amplitude damping channel
- Experimental simulation of decoherence in photonics qudits
- Quantum capacity analysis of multi-level amplitude damping channels
- An Infinite Sequence of Additive Channels: the Classical Capacity of Cloning Channels
- Positivity and nonadditivity of quantum capacities using generalized erasure channels
- Capacity Estimates via comparison with TRO channels
- Capacities of Grassmann channels
- Capacity Bounds via Operator Space Methods
Cited by in corpus (5)
- Quantum capacity analysis of multi-level amplitude damping channels
- Resonant Multilevel Amplitude Damping Channels
- The noisy Werner-Holevo channel and its properties
- Additivity of quantum capacities in simple non-degradable quantum channels
- Exact Quantum Capacity of Decohering Channels in Arbitrary Dimensions