Channel Capacities of an Exactly Solvable Spin-Star System

Abstract

We calculate the entanglement-assisted and unassisted channel capacities of an exactly solvable spin star system, which models the quantum dephasing channel. The capacities for this non-Markovian model exhibit a strong dependence on the coupling strengths of the bath spins with the system, the bath temperature, and the number of bath spins. For equal couplings and bath frequencies, the channel becomes periodically noiseless.

8 pages, 5 figures

References in corpus (36)

• Quantum Computation with Quantum Dots
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Electron Spin Resonance Transistors for Quantum Computing in Silicon-Germanium Heterostructures
• The capacity of the noisy quantum channel
• Entanglement-Assisted Classical Capacity of Noisy Quantum Channels
• Superadditivity of communication capacity using entangled inputs
• Correcting Quantum Errors with Entanglement
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Solid state quantum memory using the 31P nuclear spin
• Quantum Process Tomography: Resource Analysis of Different Strategies
• Information transmission through a noisy quantum channel
• Capacities of Quantum Erasure Channels
• Vanishing quantum discord is necessary and sufficient for completely positive maps
• Entanglement enhanced information transmission over a quantum channel with correlated noise
• Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
• On the von Neumann capacity of noisy quantum channels
• Completely Positive Post-Markovian Master Equation via a Measurement Approach
• Direct Characterization of Quantum Dynamics
• Information-capacity description of spin-chain correlations
• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
• Properties of Conjugate Channels with Applications to Additivity and Multiplicativity
• On entanglement-assisted classical capacity
• Tema Con Variazioni: Quantum Channel Capacity
• Entangled states maximize the two qubit channel capacity for some Pauli channels with memory
• Non-Markovian reduced dynamics and entanglement evolution of two coupled spins in a quantum spin environment
• Quantum Capacity of a dephasing channel with memory
• Quantum Capacities of Channels with small Environment
• Time correlated quantum amplitude damping channel
• Quantum channels with a finite memory
• Spin chains and channels with memory
• Non-Markovian dynamics of a qubit coupled to an Ising spin bath
• Quantum Markov Channels for Qubits
• Direct Characterization of Quantum Dynamics: General Theory
• Memory Effects in Spin Chain Channels for Information Transmission
• Entanlement-Assisted Classical Capacity of Quantum Channels with Correlated Noise
• Classical information capacities of some single qubit quantum noisy channels

Cited by in corpus (17)

• Quantum channels and memory effects
• Classical and quantum capacities of a fully correlated amplitude damping channel
• Genuine Tripartite Entanglement in a Spin-Star Network at Thermal Equilibrium
• Witnessing quantum capacities of correlated channels
• Information transmission over an amplitude damping channel with an arbitrary degree of memory
• Non-Markovian dynamics under time-translation symmetry
• Quantum simulation of the central spin model with a Rydberg atom and polar molecules in optical tweezers
• Exact dynamics of the homogeneous two-qubit $XXZ$ central spin model with the spin bath prepared in superpositions of symmetric Dicke states
• Dynamical pairwise entanglement and two-point correlations in the three-ligand spin-star structure
• Coherent Averaging
• Classical correlation and quantum entanglement in the mixed-spin Ising-XY model with Dzyaloshinskii-Moriya interaction
• Exact reduced dynamics for a qubit in a precessing magnetic field and in the contact with a heat-bath
• Dynamics of a driven spin coupled to an antiferromagnetic spin bath
• Experimental witnessing of the quantum channel capacity in the presence of correlated noise
• Stationary states of two-level open quantum systems
• Kraus representation for maps and master equation in spin star model with layered environment
• Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time