Dan C. Marinescu's Classical and Quantum Information PDF

By Dan C. Marinescu

ISBN-10: 0123838746

ISBN-13: 9780123838742

A brand new self-discipline, Quantum details technology, has emerged within the final twenty years of the 20 th century on the intersection of Physics, arithmetic, and computing device technological know-how. Quantum details Processing is an software of Quantum info technological know-how which covers the transformation, garage, and transmission of quantum info; it represents a innovative method of info processing. This e-book covers issues in quantum computing, quantum details thought, and quantum errors correction, 3 very important components of quantum details processing. Quantum details idea and quantum blunders correction construct at the scope, suggestions, technique, and strategies constructed within the context in their shut relations, classical info thought and classical errors correcting codes. provides contemporary leads to quantum computing, quantum details idea, and quantum mistakes correcting codes. Covers either classical and quantum info idea and blunder correcting codes. The final bankruptcy of the ebook covers actual implementation of quantum info processing units. Covers the mathematical formalism and the techniques in Quantum Mechanics serious for knowing the homes and the changes of quantum info.

Show description

Read or Download Classical and Quantum Information PDF

Best information theory books

Download e-book for kindle: Coordinated Multiuser Communications by CHRISTIAN SCHLEGEL, Alex Grant

Coordinated Multiuser Communications presents for the 1st time a unified therapy of multiuser detection and multiuser deciphering in one quantity. Many communications platforms, equivalent to mobile cellular radio and instant neighborhood quarter networks, are topic to multiple-access interference, brought on by a large number of clients sharing a typical transmission medium.

Download e-book for kindle: Elliptische Kurven in der Kryptographie by Annette Werner

Dieses Lehrbuch bietet eine elementare Einführung in ein mathematisch anspruchsvolles Gebiet der modernen Kryptographie, das zunehmend an praktischer Bedeutung gewinnt. Die relevanten Tatsachen über elliptische Kurven und Public-Key-Kryptographie werden ausführlich erläutert. Dabei werden nur geringe Vorkenntnisse vorausgesetzt, um den textual content für Studierende der Mathematik und Informatik ab dem five.

Download e-book for iPad: Holding On to Reality: The Nature of Information at the Turn by Albert Borgmann

Keeping directly to fact is an excellent background of data, from its inception within the wildlife to its position within the transformation of tradition to the present web mania and is attendant resources and liabilities. Drawing at the background of principles, the main points of data know-how, and the limits of the human situation, Borgmann illuminates the connection among issues and indicators, among fact and knowledge.

Additional info for Classical and Quantum Information

Example text

A unitary transformation U is linear and preserves the inner product. The spontaneous evolution of an unobserved quantum system with the density matrix ρ is ρ → UρU† with U† the adjoint of U. 4. Given two independently prepared quantum systems, Q described in Hn and S described in Hm , the bi-partite system consisting of both Q and S is described in a Hilbert space Hn ⊗ Hm , the tensor product of the two Hilbert spaces. 35 5. A measurement of the quantum system Q in state | ψ described in Hn corresponds to a resolution of Hn to orthogonal subspaces {Hj } and a projection of the system’s state to these subspaces, {Pj }, such that the sum of the projections is Pj = 1.

E. infinitesimal symmetries, define conservation laws (first observed by N¨other [14]). 6); one obtains (by derivation at t = 0) [H, A] = 0. This holds even in the more general case when the dynamics is defined by the time-dependent Hamiltonian H(t); precisely, [H(t), A] = 0. 10 Uncertainty Principle; Minimum Uncertainty States In classical Physics the nondeterminism is due to uncontrolled causes that are recognized to exist and that, if better known, would make the predictions better. The quantum state postulate reveals the critical role of the non-determinism in quantum theory; the uncertainty principle shows that it has broader implications on our ability to observe the properties of a quantum system and makes us wonder if its nature is fundamentally different from the role it plays in classical Physics.

3. The rotation around an axis connecting the origin with the point A(xA , yA , zA ) on the Bloch sphere with an angle θ θ θ RA (θ) = cos σI − i sin (xA σx + yA σy + zA σz ) 2 2 4. The inversion (parity) operator Π creates a new state by reversing the sign of all coordinates. 5. The flip operator in a two-dimensional Hilbert space, H2 , written as a linear combination of orthonormal basis vectors A =| 0 1 | + | 1 0 | . When applied to a ket state vector, | ψ = α0 | 0 + α1 | 1 , or the bra ψ |, we obtain, respectively, A | ψ = ( | 0 1 | + | 1 0 | ) (α0 | 0 + α1 | 1 ) = α0 | 1 + α1 | 0 , ψ | A = (α0∗ 0 | +α1∗ 1 | ) ( | 0 1 | + | 1 0 | ) = α0∗ 1 | +α1∗ 0 | .

Download PDF sample

Classical and Quantum Information by Dan C. Marinescu

by Anthony

Rated 4.83 of 5 – based on 49 votes