quantum information science introduction PDF

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scottaaronson.com
https://www.scottaaronson.com/qclec.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
标记:
Quantum information science
Introduction To Quantum Information
Introduction to Quantum Information Science
https://qubit.guide/qubit_guide.pdf
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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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Quantum Device Lab
https://qudev.phys.ethz.ch/static/content/QSIT13/QSIT.pdf
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Introduction to Quantum Information Science - ETH Z
网页Introduction to Quantum Information Science 1.1. Background Quantum Information Science is the amalgamation of Computer Science, Quantum Physics, and Infor …
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Quantum information science
Introduction To Quantum Information
cwi.nl
https://homepages.cwi.nl/~fehr/QC2023/Ch1.pdf
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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
Introduction To Quantum Information
Introduction to Quantum Information Science
https://qubit.guide
Introduction to Quantum Information Science
网页2024年5月30日 · Learn the basics of quantum information science, such as qubits, quantum circuits, entanglement, error correction, and more. This book is a work-in …
标记:
Quantum information science
Introduction To Quantum Information
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Oxford Academic
https://academic.oup.com/book/8602
Introduction to Quantum Information Science | Oxford Academic
网页2006年9月28日 · Abstract. In addition to treating quantum communication, entanglement, error correction, and algorithms in great depth, this book also addresses a number of …
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Quantum information science
Introduction To Quantum Information
Science Oxford
Springer
https://link.springer.com/book/10.1007/9…
Introduction to Quantum Information Science
网页This book presents the basics of quantum information, e.g., foundation of quantum theory, quantum algorithms, quantum entanglement, quantum entropies, quantum coding, quantum error correction and quantum …
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Introduction To Quantum Information
Quantum information science
Masahito Hayashi
William & Mary Mathematics
https://www.math.wm.edu/~ckli/Courses/m162/m162-26.pdf
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A Gentle Introduction to Quantum Information Science
网页A Gentle Introduction to Quantum Information Science Chi-Kwong Li. Quantum Information Science (QIS) Chi-Kwong Li Information Science QC,QC,QC …
标记:
Quantum information science
Introduction To Quantum Information
arturekert.org
https://www.arturekert.org/iqis
Introduction to Quantum Information Science - Artur Ekert
网页Learn about the basics of quantum information science from the co-inventor of quantum cryptography, Artur Ekert. The web page offers a book, videos, and further reading on …
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Quantum information science
Introduction To Quantum Information
MIT OpenCourseWare
https://www.ocw.mit.edu/courses/8-370…
Quantum Information Science I | Physics | MIT …
网页Learn the theory and practice of quantum computation in a three-course series. Topics include quantum mechanics, reversible computation, quantum measurement, teleportation, superdense coding, quantum algorithms, …
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Quantum Mechanics
MIT Intro To Quantum Computing
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