quantum information science PDF

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Oxford Academic
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Quantum Information Science - Oxford Academic
网页2023年8月25日 · This comprehensive and self-consistent textbook presents quantum …
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Quantum information science
Science Oxford
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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scottaaronson.com
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Introduction to Quantum Information Science Lecture Notes
网页Quantum Information Science is an inherently interdisciplinary eld (Physics, CS, Math, …
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Nature
https://www.nature.com › articles翻译
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Pioneering quantum information science - Nature
网页Pioneering quantum information science. We discuss the research recognized by the …
cwi.nl
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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 …
标记:
Quantum information science
Quantum Mechanics
NSF - National Science Foundation
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Quantum Information Science - NSF - National Science …
网页Quantum Information Science (QIS) is an emerging field with the potential to cause …
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What is Quantum Information Science?
This comprehensive and self-consistent textbook presents quantum information science, a rapidly evolving interdisciplinary scientific field that will change modern computer science. The book is divided into four parts.
Quantum Information Science | Oxford Academic
academic.oup.com
Is Quantum Information Science the future?
The area of research that we now generally call quantum information science has opened a window into the previously unimaginable future. The 2022 Nobel Prize for John Clauser, Alain Aspect and Anton Zeilinger celebrates the work of decades and generations. Let us wait for what the next technological revolutions (hopefully quantum) will bring us.
Quantum Information Science: From foundations to new technologies - …
sciencedirect.com
How to study quantum information?
The required knowledge is only elementary calculus and linear algebra. This way the book can be understood by undergraduate students. In order to study quantum information, one usually has to study the foundation of quantum theory.
Introduction to Quantum Information Science | SpringerLink
link.springer.com
Can quantum systems be used as a resource for protocols?
Aspect’s experimental observations catalyzed a range of other results in the following decades in which such a feature of quantum systems could be seen as a resource for protocols, shaking up what was known until then about information processing, ways of communicating and transmitting information and computing .
Quantum Information Science: From foundations to new technologies - …
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Nature
https://www.nature.com › articles翻译
Pioneering quantum information science - Nature
网页2022年11月21日 · This year, the Nobel committee recognized yet another essential …
Springer
https://link.springer.com › book翻译
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 …
标记:
Quantum information science
Quantum Mechanics
Masahito Hayashi
Springer
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Quantum Information Science - Springer
网页Quantum information is concerned with utilizing the special features of quantum …
标记:
Quantum information science
Quantum Mechanics
Santanu Ganguly
ScienceDirect
https://www.sciencedirect.com › science › article › pii翻译
Quantum Information Science: From foundations to new …
网页2023年3月15日 · The recent race to investigate and produce quantum-enhanced …
标记:
Quantum information science
Quantum Mechanics
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Quantum Information Science - Oxford Academic

Introduction to Quantum Information Science - qubit.guide

Introduction to Quantum Information Science Lecture Notes

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Quantum Information Science - Springer

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