Monogamy of multi-qubit entanglement in terms of Rényi and Tsallis entropies

Jeong San Kim; Barry C. Sanders

doi:10.1007/978-3-642-18073-6_13

Monogamy of multi-qubit entanglement in terms of Rényi and Tsallis entropies

Jeong San Kim
, Barry C. Sanders

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We summarize our recent result about monogamy of multi-qubit entanglement: Using Rényi-α entropy, we provide a class of monogamy inequalities of multi-qubit entanglement for α ≥ 2. We also provide another class of monogamy inequalities in terms of Tsallis-q entropy for 2 ≤ q ≤ 3.

Original language	English
Title of host publication	Theory of Quantum Computation, Communication, and Cryptography - 5th Conference, TQC 2010, Revised Selected Papers
Pages	159-167
Number of pages	9
DOIs	https://doi.org/10.1007/978-3-642-18073-6_13
Publication status	Published - 2011
Event	5th Conference on Theory of Quantum Computation, Communication, and Cryptography, TQC 2010 - Leeds, United Kingdom Duration: 13 Apr 2010 → 15 Apr 2010

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	6519 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	5th Conference on Theory of Quantum Computation, Communication, and Cryptography, TQC 2010
Country/Territory	United Kingdom
City	Leeds
Period	13/04/10 → 15/04/10

Bibliographical note

Funding Information:
This work was supported by iCORE, MITACS and USARO. BCS is a CIFAR Fellow.

Keywords

Rényi entropy
Tsallis entropy
monogamy of entanglement

Access to Document

10.1007/978-3-642-18073-6_13

Cite this

Kim, J. S., & Sanders, B. C. (2011). Monogamy of multi-qubit entanglement in terms of Rényi and Tsallis entropies. In Theory of Quantum Computation, Communication, and Cryptography - 5th Conference, TQC 2010, Revised Selected Papers (pp. 159-167). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6519 LNCS). https://doi.org/10.1007/978-3-642-18073-6_13

Kim, Jeong San ; Sanders, Barry C. / Monogamy of multi-qubit entanglement in terms of Rényi and Tsallis entropies. Theory of Quantum Computation, Communication, and Cryptography - 5th Conference, TQC 2010, Revised Selected Papers. 2011. pp. 159-167 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{59056cc549e9429190d3542a8cc5bd97,

title = "Monogamy of multi-qubit entanglement in terms of R{\'e}nyi and Tsallis entropies",

abstract = "We summarize our recent result about monogamy of multi-qubit entanglement: Using R{\'e}nyi-α entropy, we provide a class of monogamy inequalities of multi-qubit entanglement for α ≥ 2. We also provide another class of monogamy inequalities in terms of Tsallis-q entropy for 2 ≤ q ≤ 3.",

keywords = "R{\'e}nyi entropy, Tsallis entropy, monogamy of entanglement",

author = "Kim, \{Jeong San\} and Sanders, \{Barry C.\}",

note = "Funding Information: This work was supported by iCORE, MITACS and USARO. BCS is a CIFAR Fellow.; 5th Conference on Theory of Quantum Computation, Communication, and Cryptography, TQC 2010 ; Conference date: 13-04-2010 Through 15-04-2010",

year = "2011",

doi = "10.1007/978-3-642-18073-6\_13",

language = "English",

isbn = "3642180728",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "159--167",

booktitle = "Theory of Quantum Computation, Communication, and Cryptography - 5th Conference, TQC 2010, Revised Selected Papers",

}

Kim, JS & Sanders, BC 2011, Monogamy of multi-qubit entanglement in terms of Rényi and Tsallis entropies. in Theory of Quantum Computation, Communication, and Cryptography - 5th Conference, TQC 2010, Revised Selected Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 6519 LNCS, pp. 159-167, 5th Conference on Theory of Quantum Computation, Communication, and Cryptography, TQC 2010, Leeds, United Kingdom, 13/04/10. https://doi.org/10.1007/978-3-642-18073-6_13

Monogamy of multi-qubit entanglement in terms of Rényi and Tsallis entropies. / Kim, Jeong San; Sanders, Barry C.
Theory of Quantum Computation, Communication, and Cryptography - 5th Conference, TQC 2010, Revised Selected Papers. 2011. p. 159-167 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6519 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Monogamy of multi-qubit entanglement in terms of Rényi and Tsallis entropies

AU - Kim, Jeong San

AU - Sanders, Barry C.

N1 - Funding Information: This work was supported by iCORE, MITACS and USARO. BCS is a CIFAR Fellow.

PY - 2011

Y1 - 2011

N2 - We summarize our recent result about monogamy of multi-qubit entanglement: Using Rényi-α entropy, we provide a class of monogamy inequalities of multi-qubit entanglement for α ≥ 2. We also provide another class of monogamy inequalities in terms of Tsallis-q entropy for 2 ≤ q ≤ 3.

AB - We summarize our recent result about monogamy of multi-qubit entanglement: Using Rényi-α entropy, we provide a class of monogamy inequalities of multi-qubit entanglement for α ≥ 2. We also provide another class of monogamy inequalities in terms of Tsallis-q entropy for 2 ≤ q ≤ 3.

KW - Rényi entropy

KW - Tsallis entropy

KW - monogamy of entanglement

UR - https://www.scopus.com/pages/publications/79251580647

U2 - 10.1007/978-3-642-18073-6_13

DO - 10.1007/978-3-642-18073-6_13

M3 - Conference contribution

AN - SCOPUS:79251580647

SN - 3642180728

SN - 9783642180729

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 159

EP - 167

BT - Theory of Quantum Computation, Communication, and Cryptography - 5th Conference, TQC 2010, Revised Selected Papers

T2 - 5th Conference on Theory of Quantum Computation, Communication, and Cryptography, TQC 2010

Y2 - 13 April 2010 through 15 April 2010

ER -

Kim JS, Sanders BC. Monogamy of multi-qubit entanglement in terms of Rényi and Tsallis entropies. In Theory of Quantum Computation, Communication, and Cryptography - 5th Conference, TQC 2010, Revised Selected Papers. 2011. p. 159-167. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-642-18073-6_13

Monogamy of multi-qubit entanglement in terms of Rényi and Tsallis entropies

Abstract

Publication series

Conference

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this