网页Quantum Information Science is an inherently interdisciplinary eld (Physics, CS, Math, Engineering, Philosophy) I It’s not just about inventing useful devices and algorithms, but …
网页2023年8月25日 · This comprehensive and self-consistent textbook presents quantum information science, a rapidly evolving interdisciplinary scientific field that will change …
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...
网页Quantum Information Science (QIS) is an emerging field with the potential to cause revolutionary advances in fields of science and engineering involving computation, …
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 …
网页Quantum information science (QIS) applies the best understanding of the sub-atomic world—quantum theory—to generate new knowledge and technologies. Through …
网页Pioneering quantum information science. We discuss the research recognized by the most recent Nobel Prize in Physics, which has had important implications for quantum...
网页4 天之前 · Quantum Information Science (QIS) is an interdisciplinary field that combines the principles of quantum mechanics with information theory to enhance computing, …
网页2024年5月30日 · Introduction. Although almost complete, this book is still a work-in-progress — a few sections are missing, but we are constantly updating and filling in the gaps! …
网页2022年11月21日 · This year, the Nobel committee recognized yet another essential building block in quantum information science, but today’s scientific progress drastically differs …