Quantum Walks with Encrypted Data

Type: Article

Publication Date: 2012-10-09

Citations: 73

DOI: https://doi.org/10.1103/physrevlett.109.150501

Abstract

In the setting of networked computation, data security can be a significant concern. Here we consider the problem of allowing a server to remotely manipulate client supplied data, in such a way that both the information obtained by the client about the server's operation and the information obtained by the server about the client's data are significantly limited. We present a protocol for achieving such functionality in two closely related models of restricted quantum computation---the boson sampling and quantum walk models. Because of the limited technological requirements of the boson scattering model, small scale implementations of this technique are feasible with present-day technology.

Locations

  • Physical Review Letters - View
  • arXiv (Cornell University) - View - PDF
  • PubMed - View
  • OPUS - Open Publications of UTS Scholars (University of Technology Sydney) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ PDF Chat An Introduction to Boson-Sampling 2015 Bryan T. Gard
Keith R. Motes
Jonathan P. Olson
Peter P. Rohde
Jonathan P. Dowling
+ PDF Chat Implementing Semiclassical Szegedy Walks in Classical-Quantum Circuits for Homomorphic Encryption 2024 Sergio A. Ortega
Pablo Fernández
M. A. Martín-Delgado
+ PDF Chat Random Sources in Private Computation 2022 Geoffroy Couteau
Adi Rosén
+ Boson Sampling Private-Key Quantum Cryptography 2019 Zixin Huang
Peter P. Rohde
Dominic W. Berry
Pieter Kok
Jonathan P. Dowling
Cosmo Lupo
+ Quantum delegation with an off-the-shelf device 2023 Anne Broadbent
Arthur Mehta
Yuming Zhao
+ Enigma: Privacy-Preserving Execution of QAOA on Untrusted Quantum Computers 2023 Ramin Ayanzadeh
Ahmad Mousavi
Narges Alavisamani
Moinuddin K. Qureshi
+ PDF Chat Demonstrating Quantum Homomorphic Encryption Through Simulation 2024 Sohrab Ganjian
Connor Paddock
Anne Broadbent
+ PDF Chat Limitations on information-theoretically-secure quantum homomorphic encryption 2014 Li Yu
Carlos A. Pérez-Delgado
Joseph F. Fitzsimons
+ PDF Chat Computational indistinguishability and boson sampling* 2022 Georgios M. Nikolopoulos
+ PDF Chat Cryptography from Noisy Storage 2008 Stephanie Wehner
Christian Schaffner
Barbara M. Terhal
+ PDF Chat Full private delegated quantum computing tailored from user to industry 2024 Alejandro Mata Ali
Adriano Mauricio Lusso
Edgar Mencia
+ PDF Chat Multiparty Delegated Quantum Computing 2017 Elham Kashefi
Anna Pappa
+ Computational indistinguishability and boson sampling 2022 Georgios M. Nikolopoulos
+ PDF Chat Toward Applying Quantum Computing to Network Verification 2024 Kahlil Dozier
Justin Beltran
Kylie Berg
Hugo Matousek
Loqman Salamatian
Ethan Katz-Bassett
Dan Rubenstein
+ PDF Chat Classical Verification of Quantum Learning Advantages with Noises 2024 Yinghao Ma
J. L. Su
Dong-Ling Deng
+ PDF Chat Quantum delegated and federated learning via quantum homomorphic encryption 2024 Weikang Li
Dong-Ling Deng
+ Quantum cryptography with classical communication: parallel remote state preparation for copy-protection, verification, and more 2022 Alexandru Gheorghiu
Tony Metger
Alexander Poremba
+ Quantum advantage with noisy boson sampling and density of bosons 2019 V. S. Shchesnovich
+ Practical Cryptography from Noisy Photonic Storage 2007 Stephanie Wehner
Christian Schaffner
Barbara M. Terhal
+ PDF Chat Efficient Fault-Tolerant Quantum Protocol for Differential Privacy in the Shuffle Model 2024 Hassan Jameel Asghar
Arghya Mukherjee
Gavin K. Brennen

Works Cited by This (16)

Action Title Year Authors
+ PDF Chat Insecurity of quantum secure computations 1997 Hoi‐Kwong Lo
+ PDF Chat BLIND QUANTUM COMPUTATION 2006 Pablo Arrighi
Louis Salvail
+ Multi-walker discrete time quantum walks on arbitrary graphs, their properties and their photonic implementation 2011 Peter P. Rohde
Andreas Schreiber
M. Štefaňák
Igor Jex
Christine Silberhorn
+ PDF Chat Discrete Single-Photon Quantum Walks with Tunable Decoherence 2010 Matthew A. Broome
Alessandro Fedrizzi
B. P. Lanyon
Ivan Kassal
Alán Aspuru‐Guzik
A. G. White
+ PDF Chat A 2D Quantum Walk Simulation of Two-Particle Dynamics 2012 Andreas Schreiber
A. Gábris
Peter P. Rohde
Kaisa Laiho
M. Štefaňák
Václav Potoček
Craig S. Hamilton
Igor Jex
Christine Silberhorn
+ PDF Chat Demonstration of Blind Quantum Computing 2012 Stefanie Barz
Elham Kashefi
Anne Broadbent
Joseph F. Fitzsimons
Anton Zeilinger
Philip Walther
+ PDF Chat Degrees of concealment and bindingness in quantum bit commitment protocols 2001 Robert W. Spekkens
Terry Rudolph
+ PDF Chat Decoherence and Disorder in Quantum Walks: From Ballistic Spread to Localization 2011 Andreas Schreiber
K. N. Cassemiro
Václav Potoček
A. Gábris
Igor Jex
Christine Silberhorn
+ PDF Chat Blind Quantum Computing with Weak Coherent Pulses 2012 Vedran Dunjko
Elham Kashefi
Anthony Leverrier
+ PDF Chat Photons Walking the Line: A Quantum Walk with Adjustable Coin Operations 2010 Andreas Schreiber
K. N. Cassemiro
Václav Potoček
A. Gábris
Peter J. Mosley
Erika Andersson
Igor Jex
Christine Silberhorn