Information-capacity description of spin-chain correlations

Abstract

Information capacities achievable in the multi-parallel-use scenarios are employed to characterize the quantum correlations in unmodulated spin chains. By studying the qubit amplitude damping channel, we calculate the quantum capacity $Q$, the entanglement assisted capacity $C_E$, and the classical capacity $C_1$ of a spin chain with ferromagnetic Heisenberg interactions.

12 pages, 3 figures; typos corrected (to appear in PRA)

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Cited by in corpus (102)

• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Quantum channels and memory effects
• A Survey on Quantum Channel Capacities
• Conclusive and arbitrarily perfect quantum state transfer using parallel spin chain channels
• Quantum Channels with Memory
• Unmodulated spin chains as universal quantum wires
• Quantum channels and their entropic characteristics
• Perfect quantum state transfer with randomly coupled quantum chains
• One-mode Bosonic Gaussian channels: a full weak-degradability classification
• Comparative study of non-Markovianity measures in exactly solvable one and two qubit models
• Globally controlled quantum wires for perfect qubit transport, mirroring and computing
• The structure of degradable quantum channels
• Approaches for approximate additivity of the Holevo information of quantum channels
• From perfect to fractal transmission in spin chains
• Reverse Coherent Information
• Quantum Capacity of a dephasing channel with memory
• Degradability of Bosonic Gaussian channels
• Quantum Capacities of Channels with small Environment
• The quantum capacity with symmetric side channels
• Noise-enhanced classical and quantum capacities in communication networks
• Trade-off capacities of the quantum Hadamard channels
• Improved transfer of quantum information using a local memory
• Perfect state transfer in networks of arbitrary topology and coupling configuration
• Principles of Quantum Communication Theory: A Modern Approach
• Optimal quantum chain communication by end gates
• Efficient and perfect state transfer in quantum chains
• Semidefinite programming strong converse bounds for classical capacity
• Narrow Bounds for the Quantum Capacity of Thermal Attenuators
• Efficient optimization of the quantum relative entropy
• Decoherence effects on the quantum spin channels
• Memory Effects in Spin Chain Channels for Information Transmission
• Tomography increases key rates of quantum-key-distribution protocols
• Information Transferring Ability of the Different Phases of a finite XXZ Spin Chain
• Quantum trade-off coding for bosonic communication
• Measuring and using non-markovianity
• Universal destabilization and slowing of spin transfer functions by a bath of spins
• Enhancement of transmission rates in quantum memory channels with damping
• Classical and quantum capacities of a fully correlated amplitude damping channel
• Quantum capacity analysis of multi-level amplitude damping channels
• Quantum Codes from Neural Networks
• Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results
• Experimental detection of quantum channel capacities
• Channel Capacities of an Exactly Solvable Spin-Star System
• Quantum Communication Through a Spin-Ring with Twisted Boundary Conditions
• Cloning transformations in spin networks without external control
• Polar codes for degradable quantum channels
• Dynamics of spatially indistinguishable particles and entanglement protection
• Quantum work extraction efficiency for noisy quantum batteries: the role of coherence
• Generic nonadditivity of quantum capacity in simple channels
• Detecting lower bounds to quantum channel capacities
• Optimal quantum cloning via spin networks
• Preserving Information from the Beginning to the End of time in a Robertson-Walker Spacetime
• Channel covariance, twirling, contraction, and some upper bounds on the quantum capacity
• Entanglement robustness via spatial deformation of identical particle wave functions
• Detecting Incapacity
• Memory effects in attenuation and amplification quantum processes
• Information transmission over an amplitude damping channel with an arbitrary degree of memory
• Quantum communication via a continuously monitored dual spin chain
• Detecting positive quantum capacities of quantum channels
• Virtual quantum resource distillation: General framework and applications
• Transmission of classical and quantum information through a quantum memory channel with damping
• Resonant Multilevel Amplitude Damping Channels
• Information-Theoretic Memory Scaling in the Many-Body Localization Transition
• Indistinguishability-enhanced entanglement recovery by spatially localized operations and classical communication
• Quantum capacity of an amplitude-damping channel with memory
• Beating the Classical Limits of Information Transmission using a Quantum Decoder
• Optimal 1->M universal quantum cloning via spin networks
• Quantum informational properties of the Landau-Streater channel
• Capacities of Grassmann channels
• Partially Coherent Direct Sum Channels
• Qubit quantum channels: A characteristic function approach
• Non-Markovianity as a Resource for Quantum Technologies
• Efficient accessible bounds to the classical capacity of quantum channels
• Information flow and error scaling for fully-quantum control
• Transmission of quantum information through quantum fields in curved spacetimes
• Classical correlation and quantum entanglement in the mixed-spin Ising-XY model with Dzyaloshinskii-Moriya interaction
• Information transfer rates in spin quantum channels
• Degradability of Fermionic Gaussian Channels
• Gating classical information flow through spin chains by quantum phase transitions
• Computational Distinguishability of Quantum Channels
• The noisy Werner-Holevo channel and its properties
• Nuclear Numerical Range and Quantum Error Correction Codes for non-unitary noise models
• The pitfalls of deciding whether a quantum channel is (conjugate) degradable and how to avoid them
• Coherent information of a quantum channel or its complement is generically positive
• Directed quantum communication
• Experimental Lower Bounds to the Classical Capacity of Quantum Channels
• Information-theoretic aspects of the generalized amplitude damping channel
• 5-qubit quantum error correction in a charge qubit quantum computer
• Detection of properties and capacities of quantum channels
• Generating GHZ state in 2m-qubit spin network
• Ab-Initio Approach to Many-Body Quantum Spin Dynamics
• Perturbational approach to the quantum capacity of additive Gaussian quantum channel
• Bounding the quantum capacity with flagged extensions
• Detecting Quantum Capacities of Continuous-Variable Quantum Channels
• Degradable Strongly Entanglement Breaking Maps
• Improving classical capacity of qubit dynamical maps through stationary state manipulation
• Additivity of quantum capacities in simple non-degradable quantum channels
• A new approach to characterize qubit channels
• Approximate Quantum Error Correction with 1D Log-Depth Circuits
• Calculating a maximizer for quantum mutual information
• Retrocausal capacity of a quantum channel: Communicating through noisy closed timelike curves
• Witnessing latent time correlations with a single quantum particle