Quantum Computing

Gunjan, Gunjan and G, Ramesh (2015) Quantum Computing. Masters thesis, Indian Institute of Technology Hyderabad.

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Linear algebra that will be needed for the rest of thesis. We begin by defining linear operators on vector spaces. we define physics Bra-Ket notation that will be used throughout the thesis. The next few sections deal with topics related to matrices like Trace,Unitary, Hermitian and Positive and Positive semi definite matrices. We define vector spaces with some additional structures which includes inner product space, Outer product, Hilbert space. we study how to make new spaces from the given spaces which includes direct sum of vector spaces, Tensor product. Tensor product of spaces plays an important role in various area of Quantum mechanics (we will study in next few chapters). we close this chapters with some applications of Tensor product.

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IITH Creators:
IITH CreatorsORCiD
Item Type: Thesis (Masters)
Uncontrolled Keywords: completely positive maps, C*-algebra, TD344
Subjects: Mathematics > Algebra
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 17 Jun 2015 08:07
Last Modified: 21 May 2019 11:46
URI: http://raiith.iith.ac.in/id/eprint/1583
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