NDLI: Dissipative and non-dissipative single-qubit channels: dynamics and geometry

Content Provider	Springer Nature Link
Author	Omkar, S. Srikanth, R. Banerjee, Subhashish
Copyright Year	2013
Abstract	Single-qubit dissipative and non-dissipative channels, set in the general scenario of a system’s interaction with a squeezed thermal bath, are compared in the Choi isomorphism framework, to bring out their contrasting rank and geometric properties. The equivalence of commutativity between the signal states and the Kraus operators to that between the system and interaction Hamiltonian, and thus to non-dissipativeness, is pointed out. Two distinct unitarily equivalent Kraus representations of the dissipative channel, one based on the Choi isomorphism, and the other based on an ansatz, are used to illustrate that the orthogonality of Kraus operators under the Hilbert–Schmidt inner product is not a unitary invariant. Unlike the non-dissipative (Pauli) channels, the dissipative (squeezed generalized amplitude damping) channels do not form a convex set. Further, whereas the rank of Pauli channels can be any positive integer up to 4, that of the amplitude damping ones is either 2 or 4. In the latter case, a noise range is identified where environmental squeezing counteracts the effect of thermal decoherence.
Starting Page	3725
Ending Page	3744
Page Count	20
File Format	PDF
ISSN	15700755
Journal	Quantum Information Processing
Volume Number	12
Issue Number	12
e-ISSN	15731332
Language	English
Publisher	Springer US
Publisher Date	2013-08-28
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Dissipative Single-qubit Quantum Information Technology, Spintronics Quantum Computing Data Structures, Cryptology and Information Theory Quantum Physics Mathematical Physics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Theoretical Computer Science Signal Processing Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering Modeling and Simulation

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