Additivity and multiplicativity properties of some Gaussian channels for Gaussian inputs
- Quantum Computation and Information Project, ERATO-SORST, Japan Science and Technology Agency, Daini Hongo White Building 201, Hongo 5-28-3, Bunkyo-ku, Tokyo 113-0033 (Japan)
We prove multiplicativity of maximal output p norm of classical noise channels and thermal noise channels of arbitrary modes for all p>1 under the assumption that the input signal states are Gaussian states. As a direct consequence, we also show the additivity of the minimal output entropy and that of the energy-constrained Holevo capacity for those Gaussian channels under Gaussian inputs. To the best of our knowledge, newly discovered majorization relation on symplectic eigenvalues, which is also of independent interest, plays a central role in the proof.
- OSTI ID:
- 20786675
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 73; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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