quantum information science notes pdf

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Introduction to Quantum Information Science Lecture Notes
网页Introduction to Quantum Information Science Lecture Notes Scott Aaronson1 Fall 2018 1With crucial help from: Corey Ostrove and Paulo Alves
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- Introduction to Quantum Inf…
  maybe quantum mechanical tunneling lets us solve NP-Hard problems. The …
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Introduction to Quantum Information Science
https://qubit.guide › qubit_guide.pdf翻译
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Introduction to Quantum Information Science - qubit.guide
Introduction
Plan and intended audience
Notes on this PDF
Technical asides.
Acknowledgements
funda-
|i | i  
functional analysis.
0.3 Bras and kets
k − k −
H H C
0.4 Daggers
i = v h | eii .
|i ∈ H h |i
h h | | i h ||i h |i
0.7 Eigenvalues and eigenvectors
|i | i
= X λi| i i ih |
= X λi
= Y λi
0.8 Outer products
|ih| H H
|ih| | ih|
|ih|ih| h |i|ih|
i | i
0.9 The trace
|ih| 7−→ h|i
h ek| A | eki = Akk.
|ih| h ek| b aeki ih |
0.10 Some useful identities
|i|i ∈ H H ∈ C
+ β? b
0.11 Probabilities
H, T
HH, TH, TT
Measure theory.
Pascal’s triangle.
We say that A and B are mutually exclusive if P(A B) = 0, and indepen-
conditional probability P(B A), of B given A, to be the probability that
1 Quantum interference
z = z1 + z2
1.4 Superpositions
i | i
2 − φ cos
1.7 Quantum decoherence
2 z? (z1 + z2 + + zN)
= X 2 zk| + X
1.9 Computational complexity
1.10 Outlook
1.11.5 Quantum Turing machines
1.11.6 More time, more memory
1.11.7 Asymptotic behaviour: big-O
c > 0 such that f(n) cg(n)
2 Qubits
= X (V U)mk|m. i
|i | i | i
2.3 Quantum gates and circuits
2.5 The square root of NOT
Global phase.
− |i 7−→ −|i
Y Z = ZY.
2.8 From bit-flips to phase-flips, and back again
H H
3 Quantum gates
Traceless matrices.
i sin φ/2 cos φ/2
3.6 Some quantum dynamics
d i
| i| i| || i| || i|
Quantum confinement.
sin ωt)~n ~σ
0 eiφ
RZ(α)HRZ(β)HRZ(γ)
4 Measurements
| |i| h |ih| i
| i | i
h ek| ψ i | eki
2 ek| ψ = 1.
h | Pk| i
= X αk| eki
4.5 Observables
= X λkPk,
|ih| − |ih| | i | i
h i
h | | i
h i λk| ekihek|
4.6 Compatible observables and the uncertainty relation
|i | i | i
| i | i | i | i
= X λkβkαk| eki
AB = BA.
dard deviation
N h sk| Pk|ski
h | | i
4.11 Quantum theory, formally
|i ∈ H h |i
|i | i
Quantum circuits
Measurements
| i h | i
| i 7→ p h | ψ Pk|ψ i
4.12.1 Projector?
5 Entanglement
i | i
| bji as
h a0| ih b0| i
|i ⊗ |i | i ⊗ |i
a λb
A B is
5.5 Separable or entangled?
X cij| bji 
HB
5.6 Controlled-NOT
In this series of lectures you will learn how inherently quantum phenomena, such as quantum interference and quantum entanglement, can make information processing more efficient and more secure, even in the presence of noise. There are many introductions to quantum information science, so it seems like a good idea to start with an explanation of wh...
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ethz.ch
https://edu.itp.phys.ethz.ch › QIT翻译
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Quantum Information Theory - ETH Z
网页quantum mechanics, classical information theory is actually a (practically signiﬁcant) special case of quantum information theory. The goal of this course is to provide a solid …
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- 页数: 187
cam.ac.uk
http://www.qi.damtp.cam.ac.uk › files › PartIIIQC › Part IIC QIC...翻译
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QUANTUM INFORMATION AND COMPUTATION Lecture …
网页Quantum computation and information is the study of the possible applications and exploitation of these novel quantum features in issues of information representation, …
标记:
Quantum information science
Notes
scottaaronson.com
https://www.scottaaronson.com › qisii.pdf翻译
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Introduction to Quantum Information Science II Lecture Notes
网页maybe quantum mechanical tunneling lets us solve NP-Hard problems. The adiabatic algorithm is an attempt to cash out this intuition. Last time, we talked about the Adiabatic …
标记:
Quantum information science
Notes
cwi.nl
https://homepages.cwi.nl › ~fehr翻译
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Introduction to Quantum Information Science
网页In its union, it is referred to as quantum information science. In this section, we introduce the so-called state vector formalism of quantum mechanics, which is one particular …
标记:
Quantum information science
Quantum Mechanics
其他用户还问了以下问题
What is a quantum lecture note?
These lecture notes provide an introduction to quantum information and quantum computation, which are strongly related disciplines and subject of intense research. The lecture notes contain only a small selection of topics in these disciplines, with the aim of providing you with an overview and a basic introduction.
[2311.12442] Quantum Information Theory -- Lecture Notes
arxiv.org
What is quantum information theory?
The field of quantum information theory is among these “other subjects”. It is the result of asking what sorts of information processing tasks can and cannot be performed if the underlying informa-tion carriers are governed by the laws of quantum mechanics as opposed to classical mechanics.
Quantum Information Theory - ETH Z
edu.itp.phys.ethz.ch
What is quantum computation and information?
that it allows (as we'll see in detail shortly). Quantum computation and information is the study of the possible applications and exploitation of these novel quantum features in issues of information representation, computation, computa
QUANTUM INFORMATION AND COMPUTATION Lecture notes - Unive…
qi.damtp.cam.ac.uk
Does quantum information theory overlap with other fields?
As this is a pretty broad question, the field of quantum information theory overlaps with many fields: physics, of course, but also computer science, electrical engineering, chemistry and materials science, mathematics, as well as philosophy.
Quantum Information Theory - ETH Z
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arXiv.org
https://arxiv.org › abs翻译
[2311.12442] Quantum Information Theory -- Lecture Notes
网页2023年11月21日 · View a PDF of the paper titled Quantum Information Theory -- Lecture Notes, by Christoph Dittel. These lecture notes provide an introduction to quantum …
标记:
arXiv:2311.12442 [quant-ph
Lecture series available on YouTube
MIT OpenCourseWare
https://ocw.mit.edu › courses › pages › ...翻译
Lecture Notes | Quantum Information Science - MIT …
网页This section contains lecture notes for the topics of the course.
标记:
MIT Intro To Quantum Computing
MIT Open Course Quantum Computing
uwaterloo.ca
https://cleve.iqc.uwaterloo.ca › resources翻译
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Quantum Information Processing A Primer for Beginners
网页The goal of these notes is to explain the basics of quantum information pro-cessing, with intuition and technical definitions, in a manner that is accessible to anyone with a solid …
标记:
Quantum information science
Primer
MIT OpenCourseWare
https://www.ocw.mit.edu › cour…翻译
Quantum Information Science I | Physics | MIT …
网页This course is a three-course series that provides an introduction to the theory and practice of quantum computation. The three-course series comprises: 8.370.1x: Foundations of Quantum and Classical …
标记:
Quantum Mechanics
MIT Intro To Quantum Computing
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