3 citations · 3 across the 1 of their papers we have counts for
6 papers
On the Fingerprinting Capacity Under the Marking Assumption
N. Prasanth Anthapadmanabhan, Alexander Barg, Ilya Dumer
We address the maximum attainable rate of fingerprinting codes under the marking assumption, studying lower and upper bounds on the value of the rate for various sizes of the attac…
Non-Holonomic Control IV : Coherence Protection in a Rubidium isotope
E. Brion, V. M. Akulin, D. Comparat +6
In this paper, we present a realistic application of the coherence protection method proposed in the previous article. A qubit of information encoded on the two spin states of a Ru…
Non-Holonomic Control III : Coherence Protection by the Quantum Zeno Effect and Non-Holonomic Control
E. Brion, V. M. Akulin, D. Comparat +6
In this paper, we present a coherence protection method based upon a multidimensional generalization of the Quantum Zeno Effect, as well as ideas from the coding theory. The non-ho…
Non-holonomic Control II : Non-holonomic Quantum Devices
E. Brion, V. M. Akulin, D. Comparat +6
In this paper, we show how the non-holonomic control technique can be employed to build completely controlled quantum devices. Examples of such controlled structures are provided.
Non-Holonomic Control I
E. Brion, V. M. Akulin, D. Comparat +6
In this paper, we present a universal control technique, the non-holonomic control, which allows us to impose any arbitrarily prescribed unitary evolution to any quantum system thr…
Long Nonbinary Codes Exceeding the Gilbert - Varshamov Bound for any Fixed Distance
Sergey Yekhanin, Ilya Dumer
Let A(q,n,d) denote the maximum size of a q-ary code of length n and distance d. We study the minimum asymptotic redundancy ρ(q,n,d)=n-log_q A(q,n,d) as n grows while q and d are f…