A New Quantum Private Protocol for Set Intersection Cardinality Based on a Quantum Homomorphic Encryption Scheme for Toffoli Gate

Set Intersection Cardinality (SI-CA) computes the intersection cardinality of two parties’ sets, which has many important and practical applications such as data mining and data analysis. However, in the face of big data sets, it is difficult for two parties to execute the SI-CA protocol repeatedly....
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Wen Liu [verfasserIn] Yangzhi Li [verfasserIn] Zhirao Wang [verfasserIn] Yugang Li [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	private set intersection cardinality Pauli gates Toffoli gate quantum homomorphic encryption

Übergeordnetes Werk:	In: Entropy - MDPI AG, 2003, 25(2023), 3, p 516
Übergeordnetes Werk:	volume:25 ; year:2023 ; number:3, p 516

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/e25030516

Katalog-ID:	DOAJ087373696

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allfieldsSound	10.3390/e25030516 doi (DE-627)DOAJ087373696 (DE-599)DOAJ44ff7231301d418fb292834edf0cf646 DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Wen Liu verfasserin aut A New Quantum Private Protocol for Set Intersection Cardinality Based on a Quantum Homomorphic Encryption Scheme for Toffoli Gate 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Set Intersection Cardinality (SI-CA) computes the intersection cardinality of two parties’ sets, which has many important and practical applications such as data mining and data analysis. However, in the face of big data sets, it is difficult for two parties to execute the SI-CA protocol repeatedly. In order to reduce the execution pressure, a Private Set Intersection Cardinality (PSI-CA) protocol based on a quantum homomorphic encryption scheme for the Toffoli gate is proposed. Two parties encode their private sets into two quantum sequences and encrypt their sequences by way of a quantum homomorphic encryption scheme. After receiving the encrypted results, the semi-honest third party (TP) can determine the equality of two quantum sequences with the Toffoli gate and decrypted keys. The simulation of the quantum homomorphic encryption scheme for the Toffoli gate on two quantum bits is given by the IBM Quantum Experience platform. The simulation results show that the scheme can also realize the corresponding function on two quantum sequences. private set intersection cardinality Pauli gates Toffoli gate quantum homomorphic encryption Science Q Astrophysics Physics Yangzhi Li verfasserin aut Zhirao Wang verfasserin aut Yugang Li verfasserin aut In Entropy MDPI AG, 2003 25(2023), 3, p 516 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:25 year:2023 number:3, p 516 https://doi.org/10.3390/e25030516 kostenfrei https://doaj.org/article/44ff7231301d418fb292834edf0cf646 kostenfrei https://www.mdpi.com/1099-4300/25/3/516 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 25 2023 3, p 516
language	English
source	In Entropy 25(2023), 3, p 516 volume:25 year:2023 number:3, p 516
sourceStr	In Entropy 25(2023), 3, p 516 volume:25 year:2023 number:3, p 516
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	private set intersection cardinality Pauli gates Toffoli gate quantum homomorphic encryption Science Q Astrophysics Physics
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container_title	Entropy
authorswithroles_txt_mv	Wen Liu @@aut@@ Yangzhi Li @@aut@@ Zhirao Wang @@aut@@ Yugang Li @@aut@@
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callnumber-first	Q - Science
author	Wen Liu
spellingShingle	Wen Liu misc QB460-466 misc QC1-999 misc private set intersection cardinality misc Pauli gates misc Toffoli gate misc quantum homomorphic encryption misc Science misc Q misc Astrophysics misc Physics A New Quantum Private Protocol for Set Intersection Cardinality Based on a Quantum Homomorphic Encryption Scheme for Toffoli Gate
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topic	misc QB460-466 misc QC1-999 misc private set intersection cardinality misc Pauli gates misc Toffoli gate misc quantum homomorphic encryption misc Science misc Q misc Astrophysics misc Physics
topic_unstemmed	misc QB460-466 misc QC1-999 misc private set intersection cardinality misc Pauli gates misc Toffoli gate misc quantum homomorphic encryption misc Science misc Q misc Astrophysics misc Physics
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title	A New Quantum Private Protocol for Set Intersection Cardinality Based on a Quantum Homomorphic Encryption Scheme for Toffoli Gate
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title_auth	A New Quantum Private Protocol for Set Intersection Cardinality Based on a Quantum Homomorphic Encryption Scheme for Toffoli Gate
abstract	Set Intersection Cardinality (SI-CA) computes the intersection cardinality of two parties’ sets, which has many important and practical applications such as data mining and data analysis. However, in the face of big data sets, it is difficult for two parties to execute the SI-CA protocol repeatedly. In order to reduce the execution pressure, a Private Set Intersection Cardinality (PSI-CA) protocol based on a quantum homomorphic encryption scheme for the Toffoli gate is proposed. Two parties encode their private sets into two quantum sequences and encrypt their sequences by way of a quantum homomorphic encryption scheme. After receiving the encrypted results, the semi-honest third party (TP) can determine the equality of two quantum sequences with the Toffoli gate and decrypted keys. The simulation of the quantum homomorphic encryption scheme for the Toffoli gate on two quantum bits is given by the IBM Quantum Experience platform. The simulation results show that the scheme can also realize the corresponding function on two quantum sequences.
abstractGer	Set Intersection Cardinality (SI-CA) computes the intersection cardinality of two parties’ sets, which has many important and practical applications such as data mining and data analysis. However, in the face of big data sets, it is difficult for two parties to execute the SI-CA protocol repeatedly. In order to reduce the execution pressure, a Private Set Intersection Cardinality (PSI-CA) protocol based on a quantum homomorphic encryption scheme for the Toffoli gate is proposed. Two parties encode their private sets into two quantum sequences and encrypt their sequences by way of a quantum homomorphic encryption scheme. After receiving the encrypted results, the semi-honest third party (TP) can determine the equality of two quantum sequences with the Toffoli gate and decrypted keys. The simulation of the quantum homomorphic encryption scheme for the Toffoli gate on two quantum bits is given by the IBM Quantum Experience platform. The simulation results show that the scheme can also realize the corresponding function on two quantum sequences.
abstract_unstemmed	Set Intersection Cardinality (SI-CA) computes the intersection cardinality of two parties’ sets, which has many important and practical applications such as data mining and data analysis. However, in the face of big data sets, it is difficult for two parties to execute the SI-CA protocol repeatedly. In order to reduce the execution pressure, a Private Set Intersection Cardinality (PSI-CA) protocol based on a quantum homomorphic encryption scheme for the Toffoli gate is proposed. Two parties encode their private sets into two quantum sequences and encrypt their sequences by way of a quantum homomorphic encryption scheme. After receiving the encrypted results, the semi-honest third party (TP) can determine the equality of two quantum sequences with the Toffoli gate and decrypted keys. The simulation of the quantum homomorphic encryption scheme for the Toffoli gate on two quantum bits is given by the IBM Quantum Experience platform. The simulation results show that the scheme can also realize the corresponding function on two quantum sequences.
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title_short	A New Quantum Private Protocol for Set Intersection Cardinality Based on a Quantum Homomorphic Encryption Scheme for Toffoli Gate
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