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Assisted Quantum Secret Sharing [article]

Sudhir Kumar Singh, R. Srikanth
<span title="2004-07-26">2004</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
A restriction on quantum secret sharing (QSS) that comes from the no-cloning theorem is that any pair of authorized sets in an access structure should overlap.  ...  We present a generalization, called assisted QSS (AQSS), where access structures without pairwise overlap of authorized sets is permissible, provided some shares are withheld by the share dealer.  ...  This modified scheme we call "assisted QSS" (AQSS), the shares withheld by the dealer being called "resident shares".  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/quant-ph/0407200v1">arXiv:quant-ph/0407200v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6567wdjy2rbwfioeqlxvkxczau">fatcat:6567wdjy2rbwfioeqlxvkxczau</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-quant-ph0407200/quant-ph0407200.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/quant-ph/0407200v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Accessing quantum secrets via local operations and classical communication

Vlad Gheorghiu, Barry C. Sanders
<span title="2013-08-30">2013</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/iedolmzeofgc3ezyedga7h4eba" style="color: black;">Physical Review A. Atomic, Molecular, and Optical Physics</a> </i> &nbsp;
Here we construct a quantum secret-sharing protocol with a reduced number of quantum communication channels between the players.  ...  Quantum secret-sharing and quantum error-correction schemes rely on multipartite decoding protocols, yet the non-local operations involved are challenging and sometimes infeasible.  ...  An MDS classical code [n, k, n − k + 1] q induces a quantum secret-sharing scheme in which every subset B of size k or more can recover the quantum secret by LOCC assistance from its complement A.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.88.022340">doi:10.1103/physreva.88.022340</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gibs54no3jhexbu3oamn4hi4sm">fatcat:gibs54no3jhexbu3oamn4hi4sm</a> </span>
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Quantum Secret Broadcast for Wireless Quantum Networks

Tao Shang, Gang Du, Jianwei Liu
<span title="">2017</span> <i title="Scientific Research Publishing, Inc,"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/fakky7235zh5hdho2lhzhjrw5e" style="color: black;">International Journal of Communications, Network and System Sciences</a> </i> &nbsp;
Inspired by sharing idea of quantum secret sharing (QSS), which is based on three collaborative nodes with pre-shared GHZ (Greenberger-Horne-Zeilinger) states, we propose a quantum secret broadcast scheme  ...  Keywords Quantum Secret Sharing, Quantum Secret Broadcast, Cluster Network Introduction Since the first quantum key distribution (QKD) protocol BB84 [1] was proposed, quantum communication has attracted  ...  Quantum secret sharing (QSS) is an important branch of quantum cryptography, which is a generalization of the classical secret sharing into the quantum domain.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4236/ijcns.2017.108b002">doi:10.4236/ijcns.2017.108b002</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zz4m5teuhffatiywfr624b22pi">fatcat:zz4m5teuhffatiywfr624b22pi</a> </span>
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Quantum mutual authentication scheme based on Bell state measurement

Muneer Alshowkan, Khaled Elleithy
<span title="">2016</span> <i title="IEEE"> 2016 IEEE Long Island Systems, Applications and Technology Conference (LISAT) </i> &nbsp;
Additionally, the protocol renews the shared secret key between the trusted authority and each user after each authentication process.  ...  After, the sender and the receiver use the quantum channel to communicate using entanglement-assisted quantum communication protocols.  ...  Quantum secret sharing is the transformation of classical secret sharing to quantum information processing and, it can be used classical and quantum messages.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/lisat.2016.7494095">doi:10.1109/lisat.2016.7494095</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/36q5kilmdffp3nmlc4w7bb6l5a">fatcat:36q5kilmdffp3nmlc4w7bb6l5a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180721031641/https://scholarworks.bridgeport.edu/xmlui/bitstream/handle/123456789/1705/LISAT_2016_Alshowkan_and_Elleithy.pdf;jsessionid=BB42862B9CDE5F77F56D4C47FDC4084B?sequence=6" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e7/80/e780d6cd41f9f202cf037240d77d9e1c3dae5ba9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/lisat.2016.7494095"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Sharing a quantum secret without a trusted party [article]

Qin Li, Dong-Yang Long, W.H. Chan, Dao-Wen Qiu
<span title="2010-04-10">2010</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In a conventional quantum (k,n) threshold scheme, a trusted party shares a secret quantum state with n participants such that any k of those participants can cooperate to recover the original secret, while  ...  In this paper we show how to construct a quantum (k,n) threshold scheme without the assistance of a trusted party, who generates and distributes shares among the participants.  ...  In contrast to previous presented quantum secret sharing schemes [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] , in which a trusted party is always needed to assist in generating  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/0810.3446v4">arXiv:0810.3446v4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mkf7hxcftfcv7dkeaqok6dwuny">fatcat:mkf7hxcftfcv7dkeaqok6dwuny</a> </span>
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Some directions beyond traditional quantum secret sharing

Sudhir Kumar Singh, R Srikanth
<span title="2008-05-21">2008</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p2cujwllrvcclbhjfpcchfiyu4" style="color: black;">Physica Scripta</a> </i> &nbsp;
We investigate two directions beyond the traditional quantum secret sharing (QSS).  ...  From the viewpoint of application, this places an unnatural constraint on secret sharing.  ...  This modified scheme we call "assisted QSS" (AQSS), the shares withheld by the dealer being called "home shares".  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/0031-8949/77/06/065007">doi:10.1088/0031-8949/77/06/065007</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/y4ugp4fm4rh57mrapgf7tn5rmi">fatcat:y4ugp4fm4rh57mrapgf7tn5rmi</a> </span>
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Page 2514 of Mathematical Reviews Vol. , Issue 2004c [page]

<span title="">2004</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
secret sharing scheme where only product states are employed.  ...  Guo, Guo-Ping (PRC-HEF-LQI; Hefei); Guo, Guang-Can (PRC-HEF-LQI; Hefei) Quantum secret sharing without entanglement.  ... 
<span class="external-identifiers"> </span>
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Quantum secret sharing without entanglement

Guo-Ping Guo, Guang-Can Guo
<span title="">2003</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/j5vumr4o65agbmeqovmzt67pqe" style="color: black;">Physics Letters A</a> </i> &nbsp;
After analysing the main quantum secret sharing protocol based on the entanglement states, we propose an idea to directly encode the qubit of quantum key distributions, and then present a quantum secret  ...  As entanglement, especially the inaccessable multi-entangled state, is not necessary in the present quantum secret sharing protocol, it may be more applicable when the number of the parties of secret sharing  ...  EFFICIENCY QUANTUM SECRET SHARING WITHOUT ENTANGLEMENT Now we present a quantum secret sharing protocol where no entanglement is employed.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0375-9601(03)00074-4">doi:10.1016/s0375-9601(03)00074-4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ms2lr4tbafcrtot4pd4c4md3fm">fatcat:ms2lr4tbafcrtot4pd4c4md3fm</a> </span>
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Experimental quantum multiparty communication protocols

Massimiliano Smania, Ashraf M Elhassan, Armin Tavakoli, Mohamed Bourennane
<span title="">2016</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2jbq7znkzzdqzjy63ai2e6mpgq" style="color: black;">npj Quantum Information</a> </i> &nbsp;
Here, we report on the experimental realization of three-party quantum communication protocols using single three-level quantum system (qutrit) communication: secret sharing, detectable Byzantine agreement  ...  Quantum information science breaks limitations of conventional information transfer, cryptography and computation by using quantum superpositions or entanglement as resources for information processing  ...  protocols for secret sharing.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/npjqi.2016.10">doi:10.1038/npjqi.2016.10</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xjy7kuxzkjbylex7ux5ckejloe">fatcat:xjy7kuxzkjbylex7ux5ckejloe</a> </span>
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Verifiable quantum (k, n)-threshold secret sharing

Yu-Guang Yang, Xin Jia, Hong-Yang Wang, Hua Zhang
<span title="2011-10-30">2011</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gepo2g7s2bchrk2kxigrls4zi4" style="color: black;">Quantum Information Processing</a> </i> &nbsp;
In a conventional quantum (k, n) threshold scheme, a trusted party shares a quantum secret with n agents such that any k or more agents can cooperate to recover the original secret, while fewer than k  ...  Is the reconstructed quantum secret same with the original one? Or is the dishonest agent willing to provide a true share during the secret reconstruction?  ...  [49] showed how to construct a quantum (k, n)threshold scheme without the assistance of a trusted dealer.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11128-011-0323-1">doi:10.1007/s11128-011-0323-1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xmv23dxrcfa4zjarnr4np6b2wy">fatcat:xmv23dxrcfa4zjarnr4np6b2wy</a> </span>
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Quantum communications infrastructure architecture: theoretical background, network structure and technologies. A review of recent studies from a European public infrastructure perspective [article]

Adam M. Lewis, Petra F. Scudo
<span title="2022-01-05">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The same applies to secret sharing. Practical quantum repeaters, to eliminate the need for trusted nodes, are closer to being realised due to recent progress in optical memories.  ...  Progress in the development of techniques for the construction of multiuser quantum communications networks is reviewed in light of the plans for an EU quantum communications infrastructure (EU QCI).  ...  Quantum secret sharing A related architecture option is the use of quantum secret sharing schemes.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2110.06762v2">arXiv:2110.06762v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/nqfq7q5iejhkhnqorilq6ce2iy">fatcat:nqfq7q5iejhkhnqorilq6ce2iy</a> </span>
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Reducing the Quantum Communication Cost of Quantum Secret Sharing

Ben Fortescue, Gilad Gour
<span title="">2012</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/niovmjummbcwdg4qshgzykkpfu" style="color: black;">IEEE Transactions on Information Theory</a> </i> &nbsp;
We demonstrate a new construction for perfect quantum secret sharing (QSS) schemes based on imperfect "ramp" secret sharing combined with classical encryption, in which the individual parties' shares are  ...  We further demonstrate that one may combine both imperfect quantum and imperfect classical secret sharing to produce an overall perfect QSS scheme, and that examples of such scheme (which we construct)  ...  As shown in [6] , if an arbitrary d-dimensional quantum secret ψ is encoded into a state of n shares φ p1p2...pn , such that a subset of shares P can fully recover ψ in the absence of any assistance from  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tit.2012.2205895">doi:10.1109/tit.2012.2205895</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tnms4gg6u5gk7lssoujoq7dfru">fatcat:tnms4gg6u5gk7lssoujoq7dfru</a> </span>
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Secret-key-assisted private classical communication capacity over quantum channels

Min-Hsiu Hsieh, Zhicheng Luo, Todd Brun
<span title="2008-10-08">2008</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/iedolmzeofgc3ezyedga7h4eba" style="color: black;">Physical Review A. Atomic, Molecular, and Optical Physics</a> </i> &nbsp;
We prove a regularized formula for the secret key-assisted capacity region of a quantum channel for transmitting private classical information.  ...  This result parallels the work of Devetak on entanglement assisted quantum communication capacity DHW05RI.  ...  Proof [direct coding theorem] Figure 2 : 2 Private classical communication protocol assisted by pre-shared secret key.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.78.042306">doi:10.1103/physreva.78.042306</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/evz335sgtrgsvmytlxtxuzzedu">fatcat:evz335sgtrgsvmytlxtxuzzedu</a> </span>
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Information Trade-Offs for Optical Quantum Communication

Mark M. Wilde, Patrick Hayden, Saikat Guha
<span title="2012-04-02">2012</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pkmpevvs3bgkhal5dvrmsu5mvq" style="color: black;">Physical Review Letters</a> </i> &nbsp;
We show that significant performance gains from trade-off coding also apply when trading photon-number resources between transmitting public and private classical information simultaneously over secret-key-assisted  ...  Slices and corner points of this three-dimensional region reduce to well-known protocols for quantum channels.  ...  of a secret key).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.108.140501">doi:10.1103/physrevlett.108.140501</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/22540777">pmid:22540777</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/izwe7gfxsjdzhnejukewigrhou">fatcat:izwe7gfxsjdzhnejukewigrhou</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190222042142/http://pdfs.semanticscholar.org/3902/5decf2606c33bb8ddfcb3396a75ca1bc1c84.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/39/02/39025decf2606c33bb8ddfcb3396a75ca1bc1c84.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.108.140501"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Quantum Network Communication—The Butterfly and Beyond

Debbie Leung, Jonathan Oppenheim, Andreas Winter
<span title="">2010</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/niovmjummbcwdg4qshgzykkpfu" style="color: black;">IEEE Transactions on Information Theory</a> </i> &nbsp;
We study the k-pair communication problem for quantum information in networks of quantum channels.  ...  (iv) Beyond the k-pair communication problem, observations are made on quantum multicasting and a static version of network communication related to the entanglement of assistance.  ...  This gives rise to the following expression for sions on quantum secret sharing and for providing one the regularized entanglement of assistance, the maximum of our upper bounds.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tit.2010.2048442">doi:10.1109/tit.2010.2048442</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/m4s7slon3jgsppwrlwpmcj4vha">fatcat:m4s7slon3jgsppwrlwpmcj4vha</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200827212939/https://arxiv.org/pdf/quant-ph/0608223v4.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/7a/85/7a8569fa3308664d54e5046dcc84465e0fd9a37d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tit.2010.2048442"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>
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