Quantum signal+noise models: beyond i.i.d

Abstract

Recently, the Gaussian optimizer conjecture in quantum information theory was confirmed for bosonic Gaussian gauge-covariant or contravariant channels. These results use the i.i.d. model of the quantum noise. In this paper we consider quantum Gaussian signal+noise model with time-continuous stationary coloured noise. A proof of the coding theorem for the classical capacity of quantum broadband gauge-covariant Gaussian channels is given. We also discuss and compare the "broadband" and the "bandpass" models of time-continuous time-continuous stationary coloured noise.

26 pages, no figures. Minor improvements and references added

References in corpus (5)

• Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture
• A solution of the Gaussian optimizer conjecture
• Gaussian optimizers and the additivity problem in quantum information theory
• Classical capacity of Gaussian thermal memory channels
• Ultimate Capacity of a Linear Time-Invariant Bosonic Channel

Cited by in corpus (2)

• Irreversible quantum evolution with quadratic generator: Review
• Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels