Private Product Computation Using Quantum Entanglement

René Bødker Christensen; Petar Popovski

doi:10.1109/TQE.2023.3320052

Private Product Computation Using Quantum Entanglement

René Bødker Christensen^*, Petar Popovski

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

5 Citations (Scopus)

80 Downloads (Pure)

Abstract

In this article, we show that a pair of entangled qubits can be used to compute a product privately. More precisely, two participants with a private input from a finite field can perform local operations on a shared, Bell-like quantum state, and when these qubits are later sent to a third participant, the third participant can determine the product of the inputs, but without learning more about the individual inputs. We give a concrete way to realize this product computation for arbitrary finite fields of prime order.

Original language	English
Article number	2100609
Journal	IEEE Transactions on Quantum Engineering
Volume	4
Pages (from-to)	1-9
Number of pages	9
ISSN	2689-1808
DOIs	https://doi.org/10.1109/TQE.2023.3320052
Publication status	Published - 27 Sept 2023

Keywords

Cryptography
Encoding
Galois fields
Indexes
Protocols
Quantum entanglement
Quantum state
Qubit
multiparty computation
privacy

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10.1109/TQE.2023.3320052Licence: CC BY 4.0

Open Access articleFinal published version, 677 KBLicence: CC BY 4.0

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Cite this

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title = "Private Product Computation Using Quantum Entanglement",

abstract = "In this article, we show that a pair of entangled qubits can be used to compute a product privately. More precisely, two participants with a private input from a finite field can perform local operations on a shared, Bell-like quantum state, and when these qubits are later sent to a third participant, the third participant can determine the product of the inputs, but without learning more about the individual inputs. We give a concrete way to realize this product computation for arbitrary finite fields of prime order.",

keywords = "Cryptography, Encoding, Galois fields, Indexes, Protocols, Quantum entanglement, Quantum state, Qubit, multiparty computation, privacy",

author = "Christensen, \{Ren{\'e} B{\o}dker\} and Petar Popovski",

year = "2023",

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T1 - Private Product Computation Using Quantum Entanglement

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AU - Popovski, Petar

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Y1 - 2023/9/27

N2 - In this article, we show that a pair of entangled qubits can be used to compute a product privately. More precisely, two participants with a private input from a finite field can perform local operations on a shared, Bell-like quantum state, and when these qubits are later sent to a third participant, the third participant can determine the product of the inputs, but without learning more about the individual inputs. We give a concrete way to realize this product computation for arbitrary finite fields of prime order.

AB - In this article, we show that a pair of entangled qubits can be used to compute a product privately. More precisely, two participants with a private input from a finite field can perform local operations on a shared, Bell-like quantum state, and when these qubits are later sent to a third participant, the third participant can determine the product of the inputs, but without learning more about the individual inputs. We give a concrete way to realize this product computation for arbitrary finite fields of prime order.

KW - Cryptography

KW - Encoding

KW - Galois fields

KW - Indexes

KW - Protocols

KW - Quantum entanglement

KW - Quantum state

KW - Qubit

KW - multiparty computation

KW - privacy

UR - https://www.scopus.com/pages/publications/85172997139

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DO - 10.1109/TQE.2023.3320052

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SP - 1

EP - 9

JO - IEEE Transactions on Quantum Engineering

JF - IEEE Transactions on Quantum Engineering

M1 - 2100609

ER -

Private Product Computation Using Quantum Entanglement

Abstract

Keywords

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Private Product Computation Using Quantum Entanglement

Abstract

Keywords

Access to Document

AUB Link

Other files and links

Fingerprint

Projects

Wireless Architectures for intelligent and Trusted connectivity in the posT-5G ERa (WATER)

Activities

Talk: Private Product Computation using Quantum Entanglement

Workshop on distributed computing, optimization & learning

Invited speaker: Private Product Computation Using Quantum Entanglement

Cite this