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دسته بندی:
محاسبات کوانتومی - Quantum-Computing
سال انتشار:
2022
عنوان انگلیسی مقاله:
Capacities of Gaussian Quantum Channels With Passive Environment Assistance
ترجمه فارسی عنوان مقاله:
ظرفیت های کانال های کوانتومی گاوسی با کمک محیط غیرفعال
منبع:
ieee - ieee Transactions on Information Theory;2022;68;1;10:1109/TIT:2021:3122150
نویسنده:
Samad Khabbazi Oskouei; Stefano Mancini; Andreas Winter
چکیده انگلیسی:
Passive environment-assisted communication takes
place via a quantum channel modeled as a unitary interaction
between the information carrying system and an environment,
where the latter is controlled by a passive helper, who can
set its initial state such as to assist sender and receiver, but
not help actively by adjusting her behaviour depending on
the message. Here we investigate the information transmission
capabilities in this framework by considering Gaussian unitaries
acting on Bosonic systems. We consider both quantum communication and classical communication with helper, as well as
classical communication with free classical coordination between
sender and helper (conferencing encoders). Concerning quantum
communication, we prove general coding theorems with and
without energy constraints, yielding multi-letter (regularized)
expressions. In the search for cases where the capacity formula is computable, we look for Gaussian unitaries that are
universally degradable or anti-degradable. However, we show
that no Gaussian unitary yields either a degradable or antidegradable channel for all environment states. On the other hand,
restricting to Gaussian environment states, results in universally
degradable unitaries, for which we thus can give single-letter
quantum capacity formulas. Concerning classical communication,
we prove a general coding theorem for the classical capacity
under an energy constraint, given by a multi-letter expression.
Furthermore, we derive an uncertainty-type relation between
the classical capacities of the sender and the helper, helped
respectively by the other party, showing a lower bound on the
sum of the two capacities. Then, this is used to lower bound the
classical information transmission rate in the scenario of classical
communication between sender and helper.
Index Terms: Quantum Gaussian channels | quantum Gaussian capacity | super-activation.
قیمت: رایگان
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