Quantum information and many body quantum systems: proceedings
Saved in:
| Other Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Pisa
Edizioni della Normale
[2008]
|
| Series: | CRM series
8 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xiii, 174 Seiten Illustrationen |
| ISBN: | 8876423079 9788876423079 |
Staff View
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Record in the Search Index
| _version_ | 1804137375425626112 |
|---|---|
| adam_text | Contents
Preface
ix
Authors addresses
xi
Dimitris G. Angelakis, Sougato
Bose, Alastair
Kay
and
Marcelo F.
Santos
Many body effects and cluster state quantum computation in
strongly interacting systems of photons
1
1
Introduction
........................ 1
2
System Description
.................... 2
2.1
Polaritonic
Mott
State
.............. 4
3
Simulating XY spin models
................ 7
4
Cluster state quantum computation
............ 8
4.1
Implementing algorithms:
............ 10
5
Experimental implementations
............. 13
6
Conclusions
........................ 14
References
............................ 14
Daniel Burgarth and
Vittorio Giovannetti
A protocol for cooling and controlling composite systems by
local interactions
17
1
Introduction
........................ 17
2
The Protocol
............_............ 18
2.1
Downloading info from
CČ
to
M
........ 18
2.2
Uploading info from
M
to
CČ
.......... 21
3
Coding transformation
.................. 23
3.1
Fidelity of the downloading protocol
....... 25
3.2
Fidelity of the uploading protocol
........ 26
4
Efficiency of Cooling
................... 27
5
Conclusion
........................ 30
A Evolution of
Č
...................... 30
В
Decomposition equations
................. 31
References
............................ 32
Daniel
Cavalcanti,
Alessandro Ferrare»,
Artur García-Saez
and
Antonio
Acín
Area laws and entanglement distillability of thermal states
35
1
Introduction
........................ 35
2
Bound entanglement and area laws
............ 38
3
Harmonic Oscillators
................... 40
4
Spin systems
....................... 44
5
Conclusions
........................ 48
References
............................ 48
Marcus Cramer,
Alessio Serafini
and Jens Eisert
Locality of dynamics in general harmonic quantum systems
51
1
Introduction
........................ 51
2
Considered models and main results
........... 54
2.1
Local couplings
.................. 55
2.2
Application: Non-relativistic quantum mechan¬
ics yields
causality in the field limit
............. 58
2.3
Non-local couplings
............... 60
2.4
Weyl operators
.................. 62
2.5
More general operators
.............. 64
3
Proofs
........................... 65
3.1
Preliminaries
................... 65
3.2
Local couplings
.................. 66
3.3
Non-local couplings
............... 68
3.4
Weyl operators
.................. 69
4
Summary
.......................... 71
References
............................ 72
Salvatore
M. Giampaolo
and
Fabrizio
Illuminati
Ground-state factorization in spin-1/2 systems by single qubit
unitary operations and entanglement excitation energies
75
1
Introduction
........................ 75
2
SQUOs, separability, and entanglement
......... 79
3
Excitation energies associated to generic SQUOs
.... 80
4
Entanglement excitation energies associated
to extremal SQUOs
.................... 86
5
Conclusion
........................ 90
References
......................... 92
Michael Keyl
Spin chains, operator algebras and entanglement.
A beginners introduction
95
1
Introduction
........................ 95
2
Algebras
.......................... 97
3
Representations
...................... 99
4
States
........................... 101
5
Distillation of entanglement
............... 105
6
Split property and infinite entanglement
......... 108
7
Localization properties
.................. 110
8
Example: The critical XY model
.............
Ill
References
............................ 114
José
I. Latorre
Entanglement entropy and the simulation of Quantum
Mechanics
117
1
Entanglement entropy as a measure of quantum
correlations
........................ 117
2
Refutation of the need for exponential resources
..... 119
3
Matrix product sates
................... 119
4
Entropy and matrix product states for spin chains
.... 122
5
New applications on matrix product sates:
continuous variables, Laughlin state, quantum computation
123
6
Spin-off: image compression, differential equations
... 125
7
Beyond MPS:
MERA
and PEPs
............. 125
References
............................ 126
Norbert
Schuch, Michael
M.
Wolf and J.
Ignacio
Cirac
Gaussian matrix product states
129
1
Introduction
........................ 129
2
Gaussian states
...................... 130
3
Gaussian Matrix Product States
............. 132
4
Completeness of Gaussian MPS
............. 134
5
GMPS with finitely entangled bonds
........... 135
6
Correlation functions of Gaussian MPS
......... 137
7
States with rational trigonometric functions
as Fourier transforms
................... 139
8
Correlation length
..................... 140
9
Gaussian MPS as ground states of local Hamiltonians
. . 141
References
........,................... 141
Rolando D.
Somma,
Cristian
D.
Batista
and
Gerardo
Ortiz
Extended quantum annealing and quantum algorithms
for optimization and thermodynamics of classical systems
143
1
Introduction
........................ 143
2
Classical-to-quantum mapping
.............. 146
3
Unifying framework for different optimization strategies:
Rates of convergence and the adiabatic theorem
of Quantum Mechanics
.................. 148
4
Quantum algorithms for numerical integration
with no importance-sampling
............... 153
5
Conclusions
........................ 155
References
............................ 156
Paolo Zanardi
The fidelity approach to quantum phase transitions
159
1
Introduction
........................ 159
2
The metric approach
................... 160
3
Quasi-free
f
ermionic systems
............... 163
4
Correlation function representation and scaling relations
165
5
Finite temperature phase transitions
........... 166
6
Classical phase transitions
................ 168
7
Outlook
.......................... 169
References
............................ 170
|
| adam_txt |
Contents
Preface
ix
Authors' addresses
xi
Dimitris G. Angelakis, Sougato
Bose, Alastair
Kay
and
Marcelo F.
Santos
Many body effects and cluster state quantum computation in
strongly interacting systems of photons
1
1
Introduction
. 1
2
System Description
. 2
2.1
Polaritonic
Mott
State
. 4
3
Simulating XY spin models
. 7
4
Cluster state quantum computation
. 8
4.1
Implementing algorithms:
. 10
5
Experimental implementations
. 13
6
Conclusions
. 14
References
. 14
Daniel Burgarth and
Vittorio Giovannetti
A protocol for cooling and controlling composite systems by
local interactions
17
1
Introduction
. 17
2
The Protocol
._. 18
2.1
Downloading info from
CČ
to
M
. 18
2.2
Uploading info from
M
to
CČ
. 21
3
Coding transformation
. 23
3.1
Fidelity of the downloading protocol
. 25
3.2
Fidelity of the uploading protocol
. 26
4
Efficiency of Cooling
. 27
5
Conclusion
. 30
A Evolution of
Č
. 30
В
Decomposition equations
. 31
References
. 32
Daniel
Cavalcanti,
Alessandro Ferrare»,
Artur García-Saez
and
Antonio
Acín
Area laws and entanglement distillability of thermal states
35
1
Introduction
. 35
2
Bound entanglement and area laws
. 38
3
Harmonic Oscillators
. 40
4
Spin systems
. 44
5
Conclusions
. 48
References
. 48
Marcus Cramer,
Alessio Serafini
and Jens Eisert
Locality of dynamics in general harmonic quantum systems
51
1
Introduction
. 51
2
Considered models and main results
. 54
2.1
Local couplings
. 55
2.2
Application: Non-relativistic quantum mechan¬
ics yields
causality in the field limit
. 58
2.3
Non-local couplings
. 60
2.4
Weyl operators
. 62
2.5
More general operators
. 64
3
Proofs
. 65
3.1
Preliminaries
. 65
3.2
Local couplings
. 66
3.3
Non-local couplings
. 68
3.4
Weyl operators
. 69
4
Summary
. 71
References
. 72
Salvatore
M. Giampaolo
and
Fabrizio
Illuminati
Ground-state factorization in spin-1/2 systems by single qubit
unitary operations and entanglement excitation energies
75
1
Introduction
. 75
2
SQUOs, separability, and entanglement
. 79
3
Excitation energies associated to generic SQUOs
. 80
4
Entanglement excitation energies associated
to extremal SQUOs
. 86
5
Conclusion
. 90
References
. 92
Michael Keyl
Spin chains, operator algebras and entanglement.
A beginners introduction
95
1
Introduction
. 95
2
Algebras
. 97
3
Representations
. 99
4
States
. 101
5
Distillation of entanglement
. 105
6
Split property and infinite entanglement
. 108
7
Localization properties
. 110
8
Example: The critical XY model
.
Ill
References
. 114
José
I. Latorre
Entanglement entropy and the simulation of Quantum
Mechanics
117
1
Entanglement entropy as a measure of quantum
correlations
. 117
2
Refutation of the need for exponential resources
. 119
3
Matrix product sates
. 119
4
Entropy and matrix product states for spin chains
. 122
5
New applications on matrix product sates:
continuous variables, Laughlin state, quantum computation
123
6
Spin-off: image compression, differential equations
. 125
7
Beyond MPS:
MERA
and PEPs
. 125
References
. 126
Norbert
Schuch, Michael
M.
Wolf and J.
Ignacio
Cirac
Gaussian matrix product states
129
1
Introduction
. 129
2
Gaussian states
. 130
3
Gaussian Matrix Product States
. 132
4
Completeness of Gaussian MPS
. 134
5
GMPS with finitely entangled bonds
. 135
6
Correlation functions of Gaussian MPS
. 137
7
States with rational trigonometric functions
as Fourier transforms
. 139
8
Correlation length
. 140
9
Gaussian MPS as ground states of local Hamiltonians
. . 141
References
.,. 141
Rolando D.
Somma,
Cristian
D.
Batista
and
Gerardo
Ortiz
Extended quantum annealing and quantum algorithms
for optimization and thermodynamics of classical systems
143
1
Introduction
. 143
2
Classical-to-quantum mapping
. 146
3
Unifying framework for different optimization strategies:
Rates of convergence and the adiabatic theorem
of Quantum Mechanics
. 148
4
Quantum algorithms for numerical integration
with no importance-sampling
. 153
5
Conclusions
. 155
References
. 156
Paolo Zanardi
The fidelity approach to quantum phase transitions
159
1
Introduction
. 159
2
The metric approach
. 160
3
Quasi-free
f
ermionic systems
. 163
4
Correlation function representation and scaling relations
165
5
Finite temperature phase transitions
. 166
6
Classical phase transitions
. 168
7
Outlook
. 169
References
. 170 |
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| id | DE-604.BV023111958 |
| illustrated | Illustrated |
| index_date | 2024-07-02T19:48:35Z |
| indexdate | 2024-07-09T21:11:18Z |
| institution | BVB |
| isbn | 8876423079 9788876423079 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016314535 |
| oclc_num | 182664269 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-703 DE-11 DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-703 DE-11 DE-83 |
| physical | xiii, 174 Seiten Illustrationen |
| publishDate | 2008 |
| publishDateSearch | 2008 |
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| publisher | Edizioni della Normale |
| record_format | marc |
| series | CRM series |
| series2 | CRM series |
| spelling | Quantum information and many body quantum systems proceedings edited by Marie Ericsson ; Simone Montangero Pisa Edizioni della Normale [2008] © 2008 xiii, 174 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier CRM series 8 Many-body problem Quantum computers Vielteilchensystem (DE-588)4063491-7 gnd rswk-swf Quanteninformatik (DE-588)4705961-8 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 s Quanteninformatik (DE-588)4705961-8 s DE-604 Ericsson, Marie 1973- (DE-588)143927841 edt Montangero, Simone 1975- (DE-588)142012475 edt CRM series 8 (DE-604)BV035126353 8 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016314535&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Quantum information and many body quantum systems proceedings CRM series Many-body problem Quantum computers Vielteilchensystem (DE-588)4063491-7 gnd Quanteninformatik (DE-588)4705961-8 gnd |
| subject_GND | (DE-588)4063491-7 (DE-588)4705961-8 |
| title | Quantum information and many body quantum systems proceedings |
| title_auth | Quantum information and many body quantum systems proceedings |
| title_exact_search | Quantum information and many body quantum systems proceedings |
| title_exact_search_txtP | Quantum information and many body quantum systems proceedings |
| title_full | Quantum information and many body quantum systems proceedings edited by Marie Ericsson ; Simone Montangero |
| title_fullStr | Quantum information and many body quantum systems proceedings edited by Marie Ericsson ; Simone Montangero |
| title_full_unstemmed | Quantum information and many body quantum systems proceedings edited by Marie Ericsson ; Simone Montangero |
| title_short | Quantum information and many body quantum systems |
| title_sort | quantum information and many body quantum systems proceedings |
| title_sub | proceedings |
| topic | Many-body problem Quantum computers Vielteilchensystem (DE-588)4063491-7 gnd Quanteninformatik (DE-588)4705961-8 gnd |
| topic_facet | Many-body problem Quantum computers Vielteilchensystem Quanteninformatik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016314535&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035126353 |
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