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Quantum fully homomorphic encryption (QFHE) allows to evaluate quantum circuits on encrypted data. We present a novel QFHE scheme, which extends Pauli one-time pad encryption by relying on the quaternion representation of SU(2). With the…

Quantum Physics · Physics 2022-12-07 Guangsheng Ma , Hongbo Li

We discuss and experimentally demonstrate a probabilistic Hadamard gate for coherent state qubits. The scheme is based on linear optical components, non-classical resources and the joint projective action of a photon counter and a homodyne…

Quantum Physics · Physics 2015-03-19 Anders Tipsmark , Ruifang Dong , Amine Laghaout , Petr Marek , Miroslav Jezek , Ulrik L. Andersen

Performing smart computations in a context of cloud computing and big data is highly appreciated today. Fully homomorphic encryption (FHE) is a smart category of encryption schemes that allows working with the data in its encrypted form. It…

Cryptography and Security · Computer Science 2018-04-20 Ahmed El-Yahyaoui , Mohamed Dafir Ech-Chrif El Kettani

It is shown that quantum walks on one-dimensional arrays of special linear-optical units allow the simulation of discrete-time Hamiltonian systems with distinct topological phases. In particular, a slightly modified version of the…

Quantum Physics · Physics 2017-08-02 David S. Simon , Casey A. Fitzpatrick , Shuto Osawa , Alexander V. Sergienko

Previously a new scheme of quantum information processing based on spin coherent states of two component Bose-Einstein condensates was proposed (Byrnes {\it et al.} Phys. Rev. A 85, 40306(R)). In this paper we give a more detailed…

We propose a symmetric key homomorphic encryption scheme based on the evaluation of multivariate polynomials over a finite field. The proposed scheme is somewhat homomorphic with respect to addition and multiplication. Further, we define a…

Cryptography and Security · Computer Science 2019-02-18 Uddipana Dowerah , Srinivasan Krishnaswamy

Controlled quantum teleportation of superposed coherent states using GHZ entangled 3-mode coherent states is studied. Proposed scheme can be implemented experimentally using linear optical components such as a symmetric lossless beam…

Quantum Physics · Physics 2019-04-29 Ravi Kamal Pandey , Ranjana Prakash , Hari Prakash

Quantum memory is a key element for quantum repeaters and linear optical quantum computers. In addition to memory, repeaters and computers also require manipulating quantum states by means of unitary transformations, which is generally…

Quantum Physics · Physics 2009-10-15 A. Delfan Abazari , E. Saglamyurek , R. Ricken , W. Sohler , C. La Mela , W. Tittel

We have designed and realized a prototype that implements a continuous-variable quantum key distribution protocol based on coherent states and reverse reconciliation. The system uses time and polarization multiplexing for optimal…

This paper presents a new encryption scheme called Compact Coding that encodes information in time, phase, and intensity domains, simultaneously. While these approaches have previously been used one at a time, the proposed scheme brings to…

Quantum Physics · Physics 2016-07-13 Rasha El Hajj , Pramode Verma , Kam Wai Clifford Chan

Bosonic encodings of quantum information offer hardware-efficient, noise-biased approaches to quantum error correction relative to qubit register encodings. Implementations have focused in particular on error correction of stored, idle…

Quantum Physics · Physics 2025-10-23 Owen C. Wetherbee , Saswata Roy , Baptiste Royer , Valla Fatemi

We analyse a generalised quantum error correction code against photon loss where a logical qubit is encoded into a subspace of a single oscillator mode that is spanned by distinct multi-component cat states (coherent-state superpositions).…

Quantum Physics · Physics 2016-10-26 Marcel Bergmann , Peter van Loock

Both discrete and continuous systems can be used to encode quantum information. Most quantum computation schemes propose encoding qubits in two-level systems, such as a two-level atom or an electron spin. Others exploit the use of an…

Quantum Physics · Physics 2012-05-18 Hilma Vasconcelos , Liliana Sanz , Scott Glancy

Let $\ket{\0}$ and $\ket{\1}$ be two states that are promised to come from known subsets of orthogonal subspaces, but are otherwise unknown. Our paper probes the question of what can be achieved with respect to the basis…

Quantum Physics · Physics 2010-08-20 Lawrence M. Ioannou , Michele Mosca

Inspired by the concept of fault tolerance quantum computation, this article proposes a framework dubbed Exact Homomorphic Encryption, EHE, enabling exact computations on encrypted data without the need for pre-decryption. The introduction…

Quantum Physics · Physics 2024-05-10 Zheng-Yao Su , Ming-Chung Tsai

We propose an approach that enables to use it for construction of rotations of coherent states, in particular, it gives a possibility to construct Hadamard gate for the coherent states. Our approach is based on representation of arbitrary…

Quantum Physics · Physics 2011-08-09 Sergey A. Podoshvedov

We present a quantum version of a cipher used in cryptography where the message to be communicated is encoded into the relative phase of a quantum state using the shared key. The encoded quantum information carrying the message is actually…

Quantum Physics · Physics 2018-11-07 Vikram Menon , Ayan Chattopadhyay

Quantum secret sharing (QSS) is one of the basic communication primitives in future quantum networks which addresses part of the basic cryptographic tasks of multiparty communication and computation. Nevertheless, it is a challenge to…

Quantum Physics · Physics 2023-05-11 Ao Shen , Xiao-Yu Cao , Yang Wang , Yao Fu , Jie Gu , Wen-Bo Liu , Chen-Xun Weng , Hua-Lei Yin , Zeng-Bing Chen

In this note, we characterize the form of an invertible quantum operation, i.e., a completely positive trace preserving linear transformation (a CPTP map) whose inverse is also a CPTP map. The precise form of such maps becomes important in…

Quantum Physics · Physics 2018-03-22 Ashwin Nayak , Pranab Sen

In 2020, Kuang and Bettenburg proposed Quantum Public Key Distribution (QPKE) which utilized the randomized phase shift gate. Since then, it has been implemented both theoretically through simulations and experimentally over existing fiber…

Quantum Physics · Physics 2023-03-03 Randy Kuang , Adrian Chan