Degradability of Bosonic Gaussian channels
arXiv:quant-ph/0603257 · doi:10.1103/PhysRevA.74.062307
Abstract
The notion of weak-degradability of quantum channels is introduced by generalizing the degradability definition given by Devetak and Shor. Exploiting the unitary equivalence with beam-splitter/amplifier channels we then prove that a large class of one-mode Bosonic Gaussian channels are either weakly degradable or anti-degradable. In the latter case this implies that their quantum capacity Q is null. In the former case instead, this allows us to establish the additivity of the coherent information for those maps which admit unitary representation with single-mode pure environment.
7 pages, 1 figure, 1 table (minor editing)
References in corpus (13)
- The capacity of the noisy quantum channel
- Information transmission through a noisy quantum channel
- Capacities of Quantum Erasure Channels
- Classical capacity of the lossy bosonic channel: the exact solution
- One-mode Bosonic Gaussian channels: a full weak-degradability classification
- Information-capacity description of spin-chain correlations
- Minimum output entropy of bosonic channels: a conjecture
- Multiplicativity of maximal output purities of Gaussian channels under Gaussian inputs
- Entanglement assisted capacity of the broadband lossy channel
- Additivity properties of a Gaussian Channel
- Broadband channel capacities
- Minimum Renyi and Wehrl entropies at the output of bosonic channels
- Effective field theory and fundamental interactions
Cited by in corpus (63)
- Gaussian Quantum Information
- Advances in Quantum Cryptography
- Quantum channels and memory effects
- Quantum Capacities of Bosonic Channels
- Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture
- Quantum channels and their entropic characteristics
- Improved quantum capacity bounds of Gaussian loss channels and achievable rates with Gottesman-Kitaev-Preskill codes
- Theory of channel simulation and bounds for private communication
- Operator-sum Representation for Bosonic Gaussian Channels
- Quantum Capacity of a dephasing channel with memory
- Multi-mode bosonic Gaussian channels
- Noise-enhanced classical and quantum capacities in communication networks
- Principles of Quantum Communication Theory: A Modern Approach
- Narrow Bounds for the Quantum Capacity of Thermal Attenuators
- Bounding the energy-constrained quantum and private capacities of phase-insensitive bosonic Gaussian channels
- Energy-constrained private and quantum capacities of quantum channels
- Local-channel-induced rise of quantum correlations in continuous-variable systems
- Extendibility limits the performance of quantum processors
- Quantum capacity analysis of multi-level amplitude damping channels
- Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results
- Transmitting qubits through relativistic fields
- The optimal unitary dilation for bosonic Gaussian channels
- Quantum transduction with adaptive control
- High-fidelity bosonic quantum state transfer using imperfect transducers and interference
- Enhanced energy-constrained quantum communication over bosonic Gaussian channels
- Quantum enigma machines and the locking capacity of a quantum channel
- Entropic singularities give rise to quantum transmission
- Capacities of lossy bosonic channel with correlated noise
- Capacities of Quantum Amplifier Channels
- Continuous-variable error correction for general Gaussian noises
- Is nonclassicality-breaking the same thing as entanglement-breaking?
- Relativistic quantum communication between harmonic oscillator detectors
- Resource theory of unextendibility and non-asymptotic quantum capacity
- Memory effects in attenuation and amplification quantum processes
- Teleportation-Induced Correlated Quantum Channels
- Black holes as bosonic Gaussian channels
- Teleportation simulation of bosonic Gaussian channels: Strong and uniform convergence
- Quantum communication on the bosonic loss-dephasing channel
- Second-order coding rates for key distillation in quantum key distribution
- Tight bounds for private communication over bosonic Gaussian channels based on teleportation simulation with optimal finite resources
- Resonant Multilevel Amplitude Damping Channels
- Capacities of Gaussian Quantum Channels with Passive Environment Assistance
- Coherent information of one-mode Gaussian channels -- the general case of nonzero added classical noise
- Partially Coherent Direct Sum Channels
- Enhanced Quantum Communication via Optical Refocusing
- Quantum Optical Communication in the presence of strong attenuation noise
- Qubit quantum channels: A characteristic function approach
- Degradability of Fermionic Gaussian Channels
- Encrypted Qubits can be Cloned
- How Deep the Theory of Quantum Communications Goes: Superadditivity, Superactivation and Causal Activation
- Allowing leakage can increase quantum transmission
- The squashed entanglement of the noiseless quantum Gaussian attenuator and amplifier
- Directed quantum communication
- Entanglement-breaking channels in infinite dimensions
- Information-theoretic aspects of the generalized amplitude damping channel
- Perturbational approach to the quantum capacity of additive Gaussian quantum channel
- Entanglement distribution via satellite: an evaluation of competing protocols assuming realistic free-space optical channels
- Quantum Computation and Communication in Bosonic Systems
- Achievable rates for concatenated square Gottesman-Kitaev-Preskill codes
- A new approach to characterize qubit channels
- Performance Analysis of Quantum Channels
- Exploring the quantum capacity of a Gaussian random displacement channel using Gottesman-Kitaev-Preskill codes and maximum likelihood decoding
- Some aspects of the interplay between bipartite correlations and quantum channels