Oblivious transfer based on single-qubit rotations

Rodrigues, João; Mateus, Paulo; Paunković, Nikola; Souto, André

doi:10.1088/1751-8121/aa6a69

Cited by 9 publications

(15 citation statements)

References 74 publications

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“…Therefore, the aforementioned property of Majorana modes at the low but finite-temperature regime, is potentially significant in constructing stable quantum memories in more realistic scenarios. Furthermore, the existence of stable quantum memories has considerable impact in cryptography [46][47][48][49][50].…”

Section: Topological Superconductorsmentioning

confidence: 99%

Uhlmann Connection in Fermionic Systems Undergoing Phase Transitions

et al. 2017

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We study the behavior of the Uhlmann connection in systems of fermions undergoing phase transitions. In particular, we analyze some of the paradigmatic cases of topological insulators and superconductors in one dimension, as well as the BCS theory of superconductivity in three dimensions. We show that the Uhlmann connection signals phase transitions in which the eigenbasis of the state of the system changes. Moreover, using the established fidelity approach and the study of the edge states, we show the absence of thermally driven phase transitions in the case of topological insulators and superconductors. We clarify what is the relevant parameter space associated with the Uhlmann connection so that it signals the existence of order in mixed states. In addition, the study of Majorana modes at finite temperature opens the possibility of applications in realistic stable quantum memories. Finally, the analysis of the different behavior of the BCS model and the Kitaev chain, with respect to the Uhlmann connection, suggested that in realistic scenarios the gap of topological superconductors could also, generically, be temperature dependent.

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Section: Topological Superconductorsmentioning

confidence: 99%

Uhlmann Connection in Fermionic Systems Undergoing Phase Transitions

et al. 2017

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“…One can also study other cryptographic protocols with continuous variables based on the public key encryption scheme used in this article. For example, it is possible to straightforwardly use coherent states instead of two-dimensional states of qubits to achieve more robust oblivious transfer protocol presented in [34].…”

Section: Discussionmentioning

confidence: 99%

Quantum key distribution by phase flipping of coherent states of light

Barbosa¹,

Graaf²,

Mateus³

et al. 2016

Preprint

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In this paper we present quantum key distribution protocol that, instead of single qubits, uses mesoscopic coherent states of light |α to encode bit values of a randomly generated key. Given the reference value α ∈ C, and a string of phase rotations each randomly taken from a set of 2M equidistant phases, Alice prepares a quantum state given by a product of coherent states of light, such that a complex phase of each pulse is rotated by the corresponding phase rotation. The encoding of i-th bit of the key r = r1 . . . r is done by further performing phase rotation riπ (with ri = 0, 1) on the i-th coherent state pulse. In order to protect the protocol against the man-inthe-middle attack, we introduce a verification procedure, and analyse the protocol's security using the Holevo bound. We also analyse the possibility of beam splitting-like and of collective attacks, showing the impossibility of the former and, in the case of our protocol, the inadequacy of the latter. While we cannot prove full perfect security against the most general attacks allowed by the laws of quantum mechanics, our protocol achieves faster quantum key distribution, over larger distances and with lower costs, than the single-photon counterparts, maintaining at least practical security against the current and the near future technologies.

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“…This led to the unfortunate conclusion that QOT could not be securely built from QBC. Regardless of the ideal scenario, several protocols have been developed that prove practical security under some assumptions on the technological power of the adversary: low level of quantum memories (noisy-storage model) and technological limitation to perform generalised measurements [36][37][38][39][40]. In addition, Unruh proved that the Bennet and Crépeau protocol with ideal commitments is secure in the stand-alone and universal composable models [41].…”

Section: Hybrid Quantum Oblivious Transfermentioning

confidence: 99%

Quantum and classical oblivious transfer: A comparative analysis

Santos

Pinto

Mateus

2021

IET Quantum Communication

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Secure multiparty computation has the potential to be a disruptive technique in the realm of data analysis and computation. It enables several parties to compute virtually any function while preserving the privacy of their inputs. However, most of its protocols’ security and efficiency relies on the security and efficiency of oblivious transfer (OT). In this work, we make a detailed comparison between the complexity of the hybrid quantum oblivious transfer (HQOT) protocol presented in [11] and the classical OT [12], which to the best of our knowledge, is the fastest OT protocol. We also propose an optimised version of HQOT and discuss several other OT protocols generated from oblivious keys.

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Oblivious transfer based on single-qubit rotations

Cited by 9 publications

References 74 publications

Uhlmann Connection in Fermionic Systems Undergoing Phase Transitions

Uhlmann Connection in Fermionic Systems Undergoing Phase Transitions

Quantum key distribution by phase flipping of coherent states of light

Quantum and classical oblivious transfer: A comparative analysis

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