Entanglement and optimal strings of qubits for memory channels

Abstract

We investigate the problem of enhancement of mutual information by encoding classical data into entangled input states of arbitrary length and show that while there is a threshold memory or correlation parameter beyond which entangled states outperform the separable states, resulting in a higher mutual information, this memory threshold increases toward unity as the length of the string increases. These observations imply that encoding classical data into entangled states may not enhance the classical capacity of quantum channels.

14 pages, 8 figures, latex, accepted for publication in Physical Review A

References in corpus (7)

• Three qubits can be entangled in two inequivalent ways
• Entanglement enhanced information transmission over a quantum channel with correlated noise
• Entangled states maximize the two qubit channel capacity for some Pauli channels with memory
• Quantum entanglement enhances the capacity of bosonic channels with memory
• Quantum entanglement and classical communication through a depolarising channel
• Entanglement enhanced classical capacity of quantum communication channels with correlated noise in arbitrary dimensions
• Transition behavior in the capacity of correlated-noisy channels in arbitrary dimensions

Cited by in corpus (9)

• Quantum channels and memory effects
• Memory Effects in Spin Chain Channels for Information Transmission
• Noise effects in a three-player Prisoner's Dilemma quantum game
• Entanglement dynamics of non-inertial observers in a correlated environment
• Distinguishing quantum channels via magic squares game
• Decoherence and Quantum Error Correction for Quantum Computing and Communications
• Bounding and Estimating the Classical Information Rate of Quantum Channels with Memory
• New Phase Transitions in Optimal States for Memory Channels
• Quantum Finite-Depth Memory Channels: Case Study