Mutually unbiased bases: tomography of spin states and star-product scheme

Details Mutually unbiased bases: tomography of spin states and star-product scheme Mutually unbiased bases: tomography of spin states and star-product scheme

2010-08-16

arxiv.org/abs/1008.2675v1

Physica Scripta T143 (2011) 014010

Physics

Quantum Physics

11 pages, 1 table, partially presented at the 17th Central European Workshop on Quantum Optics (CEWQO'2010), June 6-11, 2010,

Scientific paper

10.1088/0031-8949/2011/T143/0140

Mutually unbiased bases (MUBs) are considered within the framework of a generic star-product scheme. We rederive that a full set of MUBs is adequate for a spin tomography, i.e. knowledge of all probabilities to find a system in each MUB-state is enough for a state reconstruction. Extending the ideas of the tomographic-probability representation and the star-product scheme to MUB-tomography, dequantizer and quantizer operators for MUB-symbols of spin states and operators are introduced, ordinary and dual star-product kernels are found. Since MUB-projectors are to obey specific rules of the star-product scheme, we reveal the Lie algebraic structure of MUB-projectors and derive new relations on triple- and four-products of MUB-projectors. Example of qubits is considered in detail. MUB-tomography by means of Stern-Gerlach apparatus is discussed.

Affiliated with

Also associated with

No associations

Rating

Mutually unbiased bases: tomography of spin states and star-product scheme does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mutually unbiased bases: tomography of spin states and star-product scheme, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mutually unbiased bases: tomography of spin states and star-product scheme will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-177904