Quantum computing without magic: devices
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, Mass. [u.a.]
The MIT Press
2008
|
| Series: | Scientific and engineering computation
|
| Subjects: | |
| Online Access: | Table of contents only Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | xx, 422 p. |
| ISBN: | 9780262135061 |
Staff View
MARC
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| 100 | 1 | |a Meglicki, Zdzislaw |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Quantum computing without magic |b devices |c Zdzislaw Meglicki |
| 264 | 1 | |a Cambridge, Mass. [u.a.] |b The MIT Press |c 2008 | |
| 300 | |a xx, 422 p. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Scientific and engineering computation | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 7 | |a Ordinateurs quantiques |2 ram | |
| 650 | 4 | |a Quantum computers | |
| 650 | 0 | 7 | |a Quantencomputer |0 (DE-588)4533372-5 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804138545372200960 |
|---|---|
| adam_text | Contents
Series
Foreword
Preface
1
Bits and Registers
1.1
Physical Embodiments of a Bit
1.2
Registers
1.3
Fluctuating Registers
1.4
Mixtures and Pure States
1.5
Basis States
1.6
Functions and Measurements on Mixtures
1.7
Forms and Vectors
1.8
Transformations of Mixtures
1.9
Composite Systems
2
The Qubit
2.1
The Evil Quanta
2.2
The Fiducial Vector of a Qubit
2.3
The Stern-Gerlach Experiment
2.4
Polarized States
2.5
Mixtures of Qubit States
2.6
The Measurement
2.7
Pauli
Vectors and
Pauli
Forms
2.8
The Hamiltonian Form
2.9
Qubit Evolution
2.10
Larmor Precession
2.11
Rabi
Oscillations
Xl
xiii
1
1
4
8
13
19
21
28
32
37
41
41
47
49
55
59
62
65
69
72
75
78
2.11.1
Solution at Resonance
80
2.11.2
Solution off Resonance
85
2.12
The Quantronium
86
Contents
3
Quaternions
95
3.1
Continuing Development of Quantum Mechanics
95
3.2
Hamilton Quaternions
96
3.3 Pauli
Quaternions
97
3.4
From Fiducial Vectors to Quaternions
99
3.5
Expectation Values
100
3.6
Mixtures
103
3.7
Qubit Evolution
104
3.8
Why Does It Work?
107
4
The Unitary Formalism 111
4.1
Unpacking
Pauli
Quaternions 111
4.2 Pauli
Matrices 111
4.3
The Basis Vectors and the Hubert Space
117
4.4
The Superstition of Superposition
121
4.5
Probability Amplitudes
130
4.6
Spinors
134
4.7
Operators and Operands
142
4.8
Properties of the Density Operator
148
4.9 Schrödinger
Equation
151
4.9.1
General Solution of the
Schrödinger
Equation
153
4.9.2
Larmor Precession Revisited
160
4.10
Single Qubit Gates
162
4.11
Taking Qubits for a Ride
168
4.11.1
Dragging a Qubit along an Arbitrary Trajectory
169
4.11.2
Closed Trajectory Case
174
4.11.3
A Qubit in the Rotating Magnetic Field
177
4.11.4
Observing the Berry Phase Experimentally
183
4.11.5
Berry Phase Gates
187
Contents ix
5
The Biqubit
191
5.1
Entangled States
191
5.2 Pauli
Exclusion Principle
204
5.3
A Superconducting Biqubit
206
5.4
An Atom and a Photon
216
5.5
A Biqubit in a Rotated Frame
219
5.6
Bell Inequality
224
5.7
Nonlocality
230
5.8
Single-Qubit Expectation Values
233
5.9
Classification of Biqubit States
236
5.10
Separability
247
5.11
Impure Quantum Mechanics
259
5.11.1
Nonunitary Evolution
262
5.11.2
Depolarization
266
5.11.3
Dephasing
270
5.11.4
Spontaneous Emission
273
5.12 Schrödinger s
Cat
277
5.12.1
The Haroche-Ramsey Experiment
279
6
The Controlled NOT Gate
289
6.1
The Quintessence of Quantum Computing
289
6.2
Universal Gates
292
6.2.1
The ABC Decomposition and Controlled-
U
292
6.2.2
General Biqubit Unitary Gates
296
6.2.3
Triqubit Gates
303
6.2.4
Universality of the
Deutsch Gate 306
6.3
The Cirac-Zoller Gate
322
6.4
The Superconducting Gate
333
Contents
7
Yes, It Can Be Done with Cogwheels
343
7.1
The
Deutsch
Oracle
343
7.2
NMR Computing
352
7.3
Brassard
Teleportation
Circuit
362
7.4
The
Grover
Search Algorithm
371
7.5
Cogwheels
376
7.6
The Crossroad
387
A Quaternions and
Pauli
Matrices
393
A.I Hamilton Quaternions
393
A.
2 Pauli
Quaternions
393
A.3
Pauli
Matrices
395
8
Biqubit Probability Matrices
397
С
Tensor Products of
Pauli
Matrices
399
References
403
Index
417
|
| any_adam_object | 1 |
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| discipline | Informatik |
| format | Book |
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| id | DE-604.BV035261916 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:29:53Z |
| institution | BVB |
| isbn | 9780262135061 |
| language | English |
| lccn | 2008017033 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017067427 |
| oclc_num | 216938333 |
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| owner_facet | DE-473 DE-BY-UBG |
| physical | xx, 422 p. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | The MIT Press |
| record_format | marc |
| series2 | Scientific and engineering computation |
| spelling | Meglicki, Zdzislaw Verfasser aut Quantum computing without magic devices Zdzislaw Meglicki Cambridge, Mass. [u.a.] The MIT Press 2008 xx, 422 p. txt rdacontent n rdamedia nc rdacarrier Scientific and engineering computation Includes bibliographical references and index Ordinateurs quantiques ram Quantum computers Quantencomputer (DE-588)4533372-5 gnd rswk-swf Quantencomputer (DE-588)4533372-5 s DE-604 http://www.loc.gov/catdir/toc/fy0805/2008017033.html Table of contents only Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017067427&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Meglicki, Zdzislaw Quantum computing without magic devices Ordinateurs quantiques ram Quantum computers Quantencomputer (DE-588)4533372-5 gnd |
| subject_GND | (DE-588)4533372-5 |
| title | Quantum computing without magic devices |
| title_auth | Quantum computing without magic devices |
| title_exact_search | Quantum computing without magic devices |
| title_full | Quantum computing without magic devices Zdzislaw Meglicki |
| title_fullStr | Quantum computing without magic devices Zdzislaw Meglicki |
| title_full_unstemmed | Quantum computing without magic devices Zdzislaw Meglicki |
| title_short | Quantum computing without magic |
| title_sort | quantum computing without magic devices |
| title_sub | devices |
| topic | Ordinateurs quantiques ram Quantum computers Quantencomputer (DE-588)4533372-5 gnd |
| topic_facet | Ordinateurs quantiques Quantum computers Quantencomputer |
| url | http://www.loc.gov/catdir/toc/fy0805/2008017033.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017067427&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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