منابع مشابه
ua nt - p h / 06 11 10 6 v 1 9 N ov 2 00 6 Pauli Diagonal Channels Constant on Axes
We define and study the properties of channels which are analogous to unital qubit channels in several ways. A full treatment can be given only when the dimension d = pm a prime power, in which case each of the d + 1 mutually unbiased bases (MUB) defines an axis. Along each axis the channel looks like a depolarizing channel, but the degree of depolarization depends on the axis. When d is not a ...
متن کاملGeneralizations of Pauli channels
The Pauli channel acting on 2 2 matrices is generalized to an n-level quantum system. When the full matrix algebraMn is decomposed into pairwise complementary subalgebras, then trace-preserving linear mappingsMn !Mn are constructed such that the restriction to the subalgebras are depolarizing channels. The result is the necessary and su cient condition of complete positivity. The main examples ...
متن کاملMinimum error discrimination of Pauli channels
Abstract. We solve the problem of discriminating with minimum error probability two given Pauli channels. We show that, differently from the case of discrimination between unitary transformations, the use of entanglement with an ancillary system can strictly improve the discrimination, and any maximally entangled state allows to achieve the optimal discrimination. We also provide a simple neces...
متن کاملDegenerate quantum codes for Pauli channels.
A striking feature of quantum error correcting codes is that they can sometimes be used to correct more errors than they can uniquely identify. Such degenerate codes have long been known, but have remained poorly understood. We provide a heuristic for designing degenerate quantum codes for high noise rates, which is applied to generate codes that can be used to communicate over almost any Pauli...
متن کامل2 00 8 Generalizations of Pauli channels
The Pauli channel acting on 2×2 matrices is generalized to an n-level quantum system. When the full matrix algebra Mn is decomposed into pairwise complementary subalgebras, then trace-preserving linear mappings Mn → Mn are constructed such that the restriction to the subalgebras are depolarizing channels. The result is the necessary and sufficient condition of complete positivity. The main exam...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2007
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/40/28/s22