A Short Course in Quantum Information Theory: An Approach by Ben Q. Li

By Ben Q. Li

This brief and concise primer takes the vantage aspect of theoretical physics and the solidarity of physics. It units out to strip the burgeoning box of quantum info technology to its fundamentals through linking it to common suggestions in physics. an intensive lecture instead of a finished textbook, this quantity relies on classes introduced over numerous years to complex undergraduate and starting graduate scholars, yet primarily it addresses someone with a operating wisdom of simple quantum physics. Readers will locate those lectures a such a lot sufficient access aspect for theoretical stories during this box.

Show description

Read Online or Download A Short Course in Quantum Information Theory: An Approach From Theoretical Physics PDF

Similar quantum theory books

Mathematical Methods in Quantum Mechanics

Quantum mechanics and the speculation of operators on Hilbert house were deeply associated seeing that their beginnings within the early 20th century. States of a quantum procedure correspond to sure parts of the configuration house and observables correspond to yes operators at the area. This publication is a quick, yet self-contained, creation to the mathematical equipment of quantum mechanics, with a view in the direction of purposes to Schrodinger operators.

Quantum electronics,

The delivery of a brand new self sustaining box of physics, referred to now by way of the identify of quantum electronics, used to be heralded approximately ten years in the past by means of the construction of the molecular oscillator. This box instantaneously attracted the eye of a big variety of examine employees, and fast growth happened. wide experimental and theoretical fabric has now been gathered.

Large Order Perturbation Theory and Summation Methods in Quantum Mechanics

The publication offers a basic, huge method of elements of perturbation thought. the purpose has been to hide all issues of curiosity, from development, research, and summation of perturbation sequence to functions. Emphasis is put on basic equipment, in addition to transparent, intuitive rules stemming from the physics of platforms of curiosity.

Quantum Walks and Search Algorithms

This e-book addresses an engaging quarter of quantum computation referred to as quantum walks, which play a big position in construction quantum algorithms, particularly seek algorithms. Quantum walks are the quantum analogue of classical random walks. it truly is recognized that quantum pcs have nice strength for looking out unsorted databases.

Additional info for A Short Course in Quantum Information Theory: An Approach From Theoretical Physics

Sample text

1 of the distribution wλ governing the structure of superposition: E (|ψAB ψAB |) = − wλ log wλ , 0 ≤ E ≤ log min{dA , dB } .

1) λ=1 l=1 where {|λ; A } and {|l; B } are certain orthogonal bases in the respective subsystems A and B. 42) where the first (Greek) one labels the basis of subsystem A while the second (Latin) index labels the basis of subsystem B. Therefore the state vector can formally be considered a matrix and we can apply the theorem of Schmidt diagonalization to it: the above two orthogonal bases can be chosen in such a way that the matrix cλl of amplitudes becomes diagonal, real, and non-negative. Taking normalization into account, we can write this theorem in the following form: Lajos Diósi: A Short Course in Quantum Information Theory, Lect.

4) l Observe that the bases and the coefficients of the Schmidt decomposition can be obtained from the eigenvectors and eigenvalues of the reduced density matrices ρˆA , ρˆB . Their spectra {wλ } and {wl } are identical, in this sense the mixednesses of ρˆA and ρˆB are identical. , the Schmidt number is 1. 2 State purification An arbitrary mixed state ρˆ of a q-system can be derived by reduction from a pure state of a suitably constructed fictitious larger composite q-system. Let us form the composite system consisting of the q-system in question and a fictitious environmental q-system E 1 .

Download PDF sample

Rated 4.24 of 5 – based on 32 votes