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Related papers: Quantum Random Access Codes for Boolean Functions

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In its many variants, randomized benchmarking (RB) is a broadly used technique for assessing the quality of gate implementations on quantum computers. A detailed theoretical understanding and general guarantees exist for the functioning and…

Quantum Physics · Physics 2023-06-28 Markus Heinrich , Martin Kliesch , Ingo Roth

Large-scale quantum computing is a significant threat to classical public-key cryptography. In strong "quantum access" security models, numerous symmetric-key cryptosystems are also vulnerable. We consider classical encryption in a model…

Quantum Physics · Physics 2021-05-14 Gorjan Alagic , Stacey Jeffery , Maris Ozols , Alexander Poremba

The laws of quantum mechanics allow for the distribution of a secret random key between two parties. Here we analyse the security of a protocol for establishing a common secret key between N parties (i.e. a conference key), using resource…

Quantum Physics · Physics 2017-11-13 Michael Epping , Hermann Kampermann , Chiara Macchiavello , Dagmar Bruß

We consider a generalisation of Ekert's entanglement-based quantum cryptographic protocol where qubits are replaced by qu$N$its (i.e., N-dimensional systems). In order to study its robustness against optimal incoherent attacks, we derive…

Quantum Physics · Physics 2009-11-10 Thomas Durt , Dagomir Kaszlikowski , Jing-Ling Chen , L. C. Kwek

This paper studies the important problem of quantum classification of Boolean functions from a entirely novel perspective. Typically, quantum classification algorithms allow us to classify functions with a probability of $1.0$, if we are…

Here we revisit the quantum algorithms for obtaining Forrelation [Aaronson et al, 2015] values to evaluate some of the well-known cryptographically significant spectra of Boolean functions, namely the Walsh spectrum, the cross-correlation…

Quantum Physics · Physics 2025-05-20 Suman Dutta , Subhamoy Maitra , Chandra Sekhar Mukherjee

In the ongoing race towards experimental implementations of quantum error correction (QEC), finding ways to automatically discover codes and encoding strategies tailored to the qubit hardware platform is emerging as a critical problem.…

Quantum Physics · Physics 2025-11-14 Jan Olle , Remmy Zen , Matteo Puviani , Florian Marquardt

Effective and reliable data retrieval is critical for the feasibility of DNA storage, and the development of random access efficiency plays a key role in its practicality and reliability. In this paper, we study the Random Access Problem,…

Information Theory · Computer Science 2025-10-10 Anina Gruica , Maria Montanucci , Ferdinando Zullo

Quantum optical states are fragile and can become corrupted when passed through a lossy communication channel. Unlike for classical signals, optical amplifiers cannot be used to recover quantum signals. Quantum repeaters have been proposed…

Quantum Physics · Physics 2017-02-15 Josephine Dias , Timothy C Ralph

We study a quantum analogue of locally decodable error-correcting codes. A q-query locally decodable quantum code encodes n classical bits in an m-qubit state, in such a way that each of the encoded bits can be recovered with high…

Quantum Physics · Physics 2008-06-13 Jop Briët , Ronald de Wolf

The growing size of modern datasets necessitates splitting a large scale computation into smaller computations and operate in a distributed manner. Adversaries in a distributed system deliberately send erroneous data in order to affect the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-05 Chien-Sheng Yang , A. Salman Avestimehr

Fault tolerant quantum error correction (QEC) networks are studied by a combination of numerical and approximate analytical treatments. The probability of failure of the recovery operation is calculated for a variety of CSS codes, including…

Quantum Physics · Physics 2009-11-07 Andrew M. Steane

Since the introduction of quantum computation by Richard Feynman in 1982, Quantum computation has shown exemplary results in various applications of computer science including unstructured database search, factorization, molecular…

Quantum Physics · Physics 2020-07-29 Hemant Rana , Nitin Verma

Scalable quantum networks must support concurrent entanglement requests, yet existing routing protocols fail when users compete for shared repeater resources, wasting fragile quantum states. This paper presents RADAR-Q, a resource-aware…

Random access codes are an intriguing class of communication tasks that reveal an operational and quantitative difference between classical and quantum information processing. We formulate a natural generalization of random access codes and…

Quantum Physics · Physics 2022-06-22 Teiko Heinosaari , Leevi Leppäjärvi

A novel concept of quantum random access memory (qRAM) employing a quantum walk is provided. Our qRAM relies on a bucket brigade scheme to access the memory cells. Introducing a bucket with chirality left and right as a quantum walker, and…

Quantum Physics · Physics 2021-05-13 Ryo Asaka , Kazumitsu Sakai , Ryoko Yahagi

A new approach to efficient quantum computation with probabilistic gates is proposed and analyzed in both a local and non-local setting. It combines heralded gates previously studied for atom or atom-like qubits with logical encoding from…

Quantum Physics · Physics 2017-04-19 Johannes Borregaard , Anders S. Sørensen , Ignacio Cirac , Mikhail D. Lukin

A quantum encryption scheme (also called private quantum channel, or state randomization protocol) is a one-time pad for quantum messages. If two parties share a classical random string, one of them can transmit a quantum state to the other…

Quantum Physics · Physics 2007-05-23 Andris Ambainis , Adam Smith

WLAN is one of the most successful applications of wireless communications in daily life because of low cost and ease of deployment. The enabling technique for this success is the use of random access schemes for the wireless channel.…

Information Theory · Computer Science 2009-11-03 Georg Böcherer , Alexandre de Baynast

We present a new quantum communication complexity protocol, the promise--Quantum Random Access Code, which allows us to introduce a new measure of unbiasedness for bases of Hilbert spaces. The proposed measure possesses a clear operational…

Quantum Physics · Physics 2018-08-08 Edgar A. Aguilar , Jakub J. Borkała , Piotr Mironowicz , Marcin Pawłowski