Phase estimation, photon cloning and the Bernoulli map

A scheme for repeated cloning of photons through laser–atom interactions is considered and shown to be the optical analog of a network for relative-phase estimation. In both cases, the dynamics of an appropriate phase is governed by the Bernoulli shift map, resulting in information loss. The analysi...

Full description

Saved in:
Bibliographic Details
Published inPhysics letters. A Vol. 298; no. 1; pp. 1 - 6
Main Authors Lakshmibala, S., Satyanarayana, M.V.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 27.05.2002
Subjects
Coherent states
Phase measurement
Quantum copying
Shift map
42.50.Dv
03.67.-a
42.50.-p
Phase measurement
Shift map
Quantum copying
Coherent states
Online AccessGet full text

Cover

Abstract A scheme for repeated cloning of photons through laser–atom interactions is considered and shown to be the optical analog of a network for relative-phase estimation. In both cases, the dynamics of an appropriate phase is governed by the Bernoulli shift map, resulting in information loss. The analysis is generalized to include a wide class of coherent states.
AbstractList A scheme for repeated cloning of photons through laser–atom interactions is considered and shown to be the optical analog of a network for relative-phase estimation. In both cases, the dynamics of an appropriate phase is governed by the Bernoulli shift map, resulting in information loss. The analysis is generalized to include a wide class of coherent states.
Author Lakshmibala, S.
Satyanarayana, M.V.
Author_xml – sequence: 1
  givenname: S.
  surname: Lakshmibala
  fullname: Lakshmibala, S.
  email: slbala@chaos.iitm.ernet.in
– sequence: 2
  givenname: M.V.
  surname: Satyanarayana
  fullname: Satyanarayana, M.V.
  email: mvs@chaos.iitm.ernet.in
BookMark eNqFj01LAzEURYNUsK3-BGGWCo6-JE1mshItfkFBwe5DJnljI9OkJKPgv--0Fbeu7ubewz0TMgoxICHnFK4pUHnzDrwSpZJAL4BdAtCqKtURGdO64iWbMTUi47_KCZnk_AlDS4IaE_m2MhkLzL1fm97HcFVsVrGPobBdDD58FCa4ol9hcY8pxK-u88XabE7JcWu6jGe_OSXLx4fl_LlcvD69zO8WpWVC9KUAymugzjhm66ZtkEluFVdYMWlaQWtBsXWspcYK7pqKG6oakChh1jAEPiXigLUp5pyw1Zs0_Ew_moLeueu9u96JaWB6767VsLs97HD49u0x6Ww9BovOJ7S9dtH_Q9gCKp9iLQ
Cites_doi 10.1080/09500340008244038
10.1103/PhysRevA.54.1844
10.1088/0305-4470/32/18/317
10.1103/PhysRevA.13.2226
10.1103/PhysRevLett.81.2598
10.1103/PhysRevLett.72.1447
10.1098/rspa.1998.0164
10.1103/PhysRevLett.81.5003
10.1103/PhysRevA.51.2738
10.1007/BF00729622
10.1103/RevModPhys.62.867
10.1038/299802a0
10.1103/PhysRevLett.79.2153
10.1103/PhysRevA.43.492
10.1016/0375-9601(82)90084-6
10.1103/PhysRevA.58.1827
ContentType Journal Article
Copyright 2002 Elsevier Science B.V.
Copyright_xml – notice: 2002 Elsevier Science B.V.
DBID AAYXX
CITATION
DOI 10.1016/S0375-9601(02)00177-9
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 1873-2429
EndPage 6
ExternalDocumentID 10_1016_S0375_9601_02_00177_9
S0375960102001779
GroupedDBID --K
--M
-~X
.~1
0R~
123
1B1
1RT
1~.
1~5
29O
4.4
457
4G.
5VS
6TJ
7-5
71M
8P~
8WZ
9JN
A6W
AABNK
AACTN
AAEDT
AAEDW
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXUO
AAYJJ
ABFNM
ABLJU
ABMAC
ABNEU
ABXDB
ACDAQ
ACFVG
ACGFS
ACKIV
ACNCT
ACNNM
ACRLP
ADBBV
ADEZE
ADIYS
ADMUD
AEBSH
AEKER
AENEX
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AIEXJ
AIKHN
AITUG
AIVDX
AJOXV
AKRWK
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ASPBG
AVWKF
AXJTR
AZFZN
BBWZM
BKOJK
BLXMC
CS3
DU5
EBS
EFJIC
EJD
EO8
EO9
EP2
EP3
F5P
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-Q
G8K
GBLVA
HMV
HVGLF
HZ~
IHE
J1W
K-O
KOM
M38
M41
MO0
MVM
N9A
NDZJH
O-L
O9-
OAUVE
OGIMB
OZT
P-8
P-9
PC.
Q38
R2-
RIG
RNS
ROL
RPZ
SDF
SDG
SDP
SES
SEW
SPC
SPCBC
SPD
SPG
SSQ
SSZ
T5K
TN5
WH7
WUQ
XJT
XOL
YYP
ZCG
~02
~G-
AAXKI
AAYXX
AFJKZ
CITATION
ID FETCH-LOGICAL-c255t-5013801dad2c8bfbe263c939e726af51851efd2f1ac53db73a19b06e604b2e03
IEDL.DBID .~1
ISSN 0375-9601
IngestDate Thu Sep 26 15:48:13 EDT 2024
Thu Jul 25 09:00:14 EDT 2024
IsPeerReviewed true
IsScholarly true
Issue 1
Keywords 42.50.Dv
03.67.-a
42.50.-p
Phase measurement
Shift map
Quantum copying
Coherent states
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c255t-5013801dad2c8bfbe263c939e726af51851efd2f1ac53db73a19b06e604b2e03
PageCount 6
ParticipantIDs crossref_primary_10_1016_S0375_9601_02_00177_9
elsevier_sciencedirect_doi_10_1016_S0375_9601_02_00177_9
PublicationCentury 2000
PublicationDate 2002-05-27
PublicationDateYYYYMMDD 2002-05-27
PublicationDate_xml – month: 05
  year: 2002
  text: 2002-05-27
  day: 27
PublicationDecade 2000
PublicationTitle Physics letters. A
PublicationYear 2002
Publisher Elsevier B.V
Publisher_xml – name: Elsevier B.V
References Herbert (BIB009) 1982; 12
Nielsen, Chuang (BIB013) 2000
Shanta, Chaturvedi, Srinivasan, Agarwal, Mehta (BIB017) 1994; 72
Buzek, Hillery (BIB001) 1996; 54
Bruss, Eckert, Macchiavello (BIB006) 1998; 81
Ott (BIB011) 1994
Buzek, Hillery (BIB007) 1998; 81
Zhang, Feng, Gilmore, Perelomov (BIB015) 1990; 62
Werner (BIB005) 1998; 58
Gisin, Massar (BIB002) 1997; 79
Agarwal, Tara (BIB010) 1991; 43
Wooters, Zurek, Dieks (BIB003) 1982; 219
Yuen (BIB016) 1976; 13
Schumacher (BIB004) 1995; 51
Cleve, Ekert, Macchiavello, Mosca (BIB012) 1998; 54
Simons, Weihs, Zeilinger (BIB008) 2000; 47
Sivakumar (BIB014) 1999; 32
Simons (10.1016/S0375-9601(02)00177-9_BIB008) 2000; 47
Wooters (10.1016/S0375-9601(02)00177-9_BIB003_1) 1982; 219
Buzek (10.1016/S0375-9601(02)00177-9_BIB001) 1996; 54
Bruss (10.1016/S0375-9601(02)00177-9_BIB006) 1998; 81
Zhang (10.1016/S0375-9601(02)00177-9_BIB015_1) 1990; 62
Herbert (10.1016/S0375-9601(02)00177-9_BIB009) 1982; 12
Werner (10.1016/S0375-9601(02)00177-9_BIB005) 1998; 58
Shanta (10.1016/S0375-9601(02)00177-9_BIB017) 1994; 72
Yuen (10.1016/S0375-9601(02)00177-9_BIB016) 1976; 13
Gisin (10.1016/S0375-9601(02)00177-9_BIB002) 1997; 79
Sivakumar (10.1016/S0375-9601(02)00177-9_BIB014) 1999; 32
Schumacher (10.1016/S0375-9601(02)00177-9_BIB004) 1995; 51
Ott (10.1016/S0375-9601(02)00177-9_BIB011) 1994
Dieks (10.1016/S0375-9601(02)00177-9_BIB003_2) 1982; 92
Buzek (10.1016/S0375-9601(02)00177-9_BIB007) 1998; 81
Perelomov (10.1016/S0375-9601(02)00177-9_BIB015_2) 1986
Cleve (10.1016/S0375-9601(02)00177-9_BIB012) 1998; 54
Agarwal (10.1016/S0375-9601(02)00177-9_BIB010) 1991; 43
Nielsen (10.1016/S0375-9601(02)00177-9_BIB013) 2000
References_xml – volume: 43
  start-page: 492
  year: 1991
  ident: BIB010
  publication-title: Phys. Rev. A
  contributor:
    fullname: Tara
– volume: 12
  start-page: 1171
  year: 1982
  ident: BIB009
  publication-title: Found. Phys.
  contributor:
    fullname: Herbert
– volume: 51
  start-page: 2738
  year: 1995
  ident: BIB004
  publication-title: Phys. Rev. A
  contributor:
    fullname: Schumacher
– year: 1994
  ident: BIB011
  publication-title: Chaos in Dynamical Systems
  contributor:
    fullname: Ott
– volume: 54
  start-page: 339
  year: 1998
  ident: BIB012
  publication-title: Proc. R. Soc. London A
  contributor:
    fullname: Mosca
– volume: 62
  start-page: 867
  year: 1990
  ident: BIB015
  publication-title: Rev. Mod. Phys.
  contributor:
    fullname: Perelomov
– volume: 72
  start-page: 1447
  year: 1994
  ident: BIB017
  publication-title: Phys. Rev. Lett.
  contributor:
    fullname: Mehta
– volume: 54
  start-page: 1844
  year: 1996
  ident: BIB001
  publication-title: Phys. Rev. A
  contributor:
    fullname: Hillery
– volume: 47
  start-page: 233
  year: 2000
  ident: BIB008
  publication-title: J. Mod. Opt.
  contributor:
    fullname: Zeilinger
– year: 2000
  ident: BIB013
  publication-title: Quantum Computation and Quantum Information
  contributor:
    fullname: Chuang
– volume: 79
  start-page: 2153
  year: 1997
  ident: BIB002
  publication-title: Phys. Rev. Lett.
  contributor:
    fullname: Massar
– volume: 219
  start-page: 802
  year: 1982
  ident: BIB003
  publication-title: Nature
  contributor:
    fullname: Dieks
– volume: 81
  start-page: 2598
  year: 1998
  ident: BIB006
  publication-title: Phys. Rev. Lett.
  contributor:
    fullname: Macchiavello
– volume: 13
  start-page: 2226
  year: 1976
  ident: BIB016
  publication-title: Phys. Rev. A
  contributor:
    fullname: Yuen
– volume: 58
  start-page: 1827
  year: 1998
  ident: BIB005
  publication-title: Phys. Rev. A
  contributor:
    fullname: Werner
– volume: 81
  start-page: 5003
  year: 1998
  ident: BIB007
  publication-title: Phys. Rev. Lett.
  contributor:
    fullname: Hillery
– volume: 32
  start-page: 3441
  year: 1999
  ident: BIB014
  publication-title: J. Phys. A
  contributor:
    fullname: Sivakumar
– year: 1994
  ident: 10.1016/S0375-9601(02)00177-9_BIB011
  contributor:
    fullname: Ott
– volume: 47
  start-page: 233
  year: 2000
  ident: 10.1016/S0375-9601(02)00177-9_BIB008
  publication-title: J. Mod. Opt.
  doi: 10.1080/09500340008244038
  contributor:
    fullname: Simons
– year: 1986
  ident: 10.1016/S0375-9601(02)00177-9_BIB015_2
  contributor:
    fullname: Perelomov
– year: 2000
  ident: 10.1016/S0375-9601(02)00177-9_BIB013
  contributor:
    fullname: Nielsen
– volume: 54
  start-page: 1844
  year: 1996
  ident: 10.1016/S0375-9601(02)00177-9_BIB001
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.54.1844
  contributor:
    fullname: Buzek
– volume: 32
  start-page: 3441
  year: 1999
  ident: 10.1016/S0375-9601(02)00177-9_BIB014
  publication-title: J. Phys. A
  doi: 10.1088/0305-4470/32/18/317
  contributor:
    fullname: Sivakumar
– volume: 13
  start-page: 2226
  year: 1976
  ident: 10.1016/S0375-9601(02)00177-9_BIB016
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.13.2226
  contributor:
    fullname: Yuen
– volume: 81
  start-page: 2598
  year: 1998
  ident: 10.1016/S0375-9601(02)00177-9_BIB006
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.81.2598
  contributor:
    fullname: Bruss
– volume: 72
  start-page: 1447
  year: 1994
  ident: 10.1016/S0375-9601(02)00177-9_BIB017
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.72.1447
  contributor:
    fullname: Shanta
– volume: 54
  start-page: 339
  year: 1998
  ident: 10.1016/S0375-9601(02)00177-9_BIB012
  publication-title: Proc. R. Soc. London A
  doi: 10.1098/rspa.1998.0164
  contributor:
    fullname: Cleve
– volume: 81
  start-page: 5003
  year: 1998
  ident: 10.1016/S0375-9601(02)00177-9_BIB007
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.81.5003
  contributor:
    fullname: Buzek
– volume: 51
  start-page: 2738
  year: 1995
  ident: 10.1016/S0375-9601(02)00177-9_BIB004
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.51.2738
  contributor:
    fullname: Schumacher
– volume: 12
  start-page: 1171
  year: 1982
  ident: 10.1016/S0375-9601(02)00177-9_BIB009
  publication-title: Found. Phys.
  doi: 10.1007/BF00729622
  contributor:
    fullname: Herbert
– volume: 62
  start-page: 867
  year: 1990
  ident: 10.1016/S0375-9601(02)00177-9_BIB015_1
  publication-title: Rev. Mod. Phys.
  doi: 10.1103/RevModPhys.62.867
  contributor:
    fullname: Zhang
– volume: 219
  start-page: 802
  year: 1982
  ident: 10.1016/S0375-9601(02)00177-9_BIB003_1
  publication-title: Nature
  doi: 10.1038/299802a0
  contributor:
    fullname: Wooters
– volume: 79
  start-page: 2153
  year: 1997
  ident: 10.1016/S0375-9601(02)00177-9_BIB002
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.79.2153
  contributor:
    fullname: Gisin
– volume: 43
  start-page: 492
  year: 1991
  ident: 10.1016/S0375-9601(02)00177-9_BIB010
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.43.492
  contributor:
    fullname: Agarwal
– volume: 92
  start-page: 271
  year: 1982
  ident: 10.1016/S0375-9601(02)00177-9_BIB003_2
  publication-title: Phys. Lett. A
  doi: 10.1016/0375-9601(82)90084-6
  contributor:
    fullname: Dieks
– volume: 58
  start-page: 1827
  year: 1998
  ident: 10.1016/S0375-9601(02)00177-9_BIB005
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.58.1827
  contributor:
    fullname: Werner
SSID ssj0001609
Score 1.6951897
Snippet A scheme for repeated cloning of photons through laser–atom interactions is considered and shown to be the optical analog of a network for relative-phase...
SourceID crossref
elsevier
SourceType Aggregation Database
Publisher
StartPage 1
SubjectTerms Coherent states
Phase measurement
Quantum copying
Shift map
Title Phase estimation, photon cloning and the Bernoulli map
URI https://dx.doi.org/10.1016/S0375-9601(02)00177-9
Volume 298
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3PS8MwFH6MieBF_Ik_Rw4eFMyWpG3aHudwTMUhOGG3kDYpG2g35rz6t_uSdkxBPHgNeaH9Et732nzvPYCLUGiD1M2pjZmmoTWMpshTVJsMTWQUZL4XweNQDl7C-3E0bkBvlQvjZJW17698uvfW9UinRrMzn047z657a-q-J5wsKI5dEl-I9Idnuv25lnlwWck8cDJ1s9dZPNUKfvCSiSu_CE1_56dvnNPfge06WCTd6nl2oWHLPdj0os38fR_k0wQ5iLg6GVUC4jWZT2YYzJH81f9lJbo0BCM8cmMX5cxd-5A3PT-AUf921BvQug8CzTHgX9LI3SYybrQReZIVmRUyyNMgtbGQuoiQcbktjCi4ziNXLjnQPM2YtJKFmbAsOIRmOSvtERBppAgN-jdmfKvppEgMLxLLZWFNwvUxtFcvr-ZVtQu1loEhWsqhpZhQHi2VHkOygkj92DaFHvlv05P_m57Clm_Kwlw63Rk0l4sPe46xwTJr-c1vwUb37mEw_AJKwrI0
link.rule.ids 315,783,787,4509,24128,27936,27937,45597,45691
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3PS8MwFH7MiehF_InzZw4eFIxL0jZrjjocU7chOGG3kDYpG2hX5rz6t5ukHVMQD15DXmhfwvu-Nt97D-A8ZEpb6KbYtIjCodEEC4tTWOnEmvAoSHwvgv6Ad1_Ch1E0qkF7kQvjZJVV7C9juo_W1Uiz8mazmEyaz657q3DfE04W1GqJFVgNHT-2h_r6c6nzoLzUedjZ2E1fpvGUS_jBC8Iu_SpY_A5Q30CnswWbFVtEN-UDbUPN5Duw5lWb6fsu8KexBSHkCmWUGYhXqBhPLZtD6av_zYpUrpGleOjWzPKpu_dBb6rYg2Hnbtju4qoRAk4t45_jyF0nEqqVZmmcZIlhPEhFIEyLcZVFFnKpyTTLqEojVy85UFQkhBtOwoQZEuxDPZ_m5gAQ15yF2gY4on2v6TiLNc1iQ3lmdExVA64XLy-LstyFXOrArLek85YkTHpvSdGAeOEi-WPfpA3Jf5se_t_0DNa7w35P9u4Hj0ew4Tu0EJdbdwz1-ezDnFiiME9O_UH4Asrus80
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Phase+estimation%2C+photon+cloning+and+the+Bernoulli+map&rft.jtitle=Physics+letters.+A&rft.au=Lakshmibala%2C+S.&rft.au=Satyanarayana%2C+M.V.&rft.date=2002-05-27&rft.issn=0375-9601&rft.volume=298&rft.issue=1&rft.spage=1&rft.epage=6&rft_id=info:doi/10.1016%2FS0375-9601%2802%2900177-9&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_S0375_9601_02_00177_9
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0375-9601&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0375-9601&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0375-9601&client=summon