86 citations · 435 across the 20 of their papers we have counts for
22 papers
-fold unbiased measurements and maximal incompatibility
Sébastien Designolle, Máté Farkas
Mutually unbiased bases capture perfect complementarity between two quantum measurements. Extensions beyond pairwise unbiasedness have been proposed, but essentially no non-trivial…
Maximal device-independent randomness in every dimension
Máté Farkas, Jurij Volčič, Sigurd A. L. Storgaard +2
Random numbers are used in a wide range of sciences. In many applications, generating unpredictable private random numbers is indispensable. Device-independent quantum random numbe…
Unbounded device-independent quantum key rates from arbitrarily small non-locality
Máté Farkas
Device-independent quantum key distribution allows for proving the security of a shared cryptographic key between two distant parties with potentially untrusted devices. The securi…
Maximal intrinsic randomness of a quantum state
Shuyang Meng, Fionnuala Curran, Gabriel Senno +4
One of the most counterintuitive aspects of quantum theory is its claim that there is 'intrinsic' randomness in the physical world. Quantum information science has greatly progress…
Contextuality and inductive bias in quantum machine learning
Joseph Bowles, Victoria J Wright, Máté Farkas +2
Generalisation in machine learning often relies on the ability to encode structures present in data into an inductive bias of the model class. To understand the power of quantum ma…
An invertible map between Bell non-local and contextuality scenarios
Victoria J Wright, Máté Farkas
We present an invertible map between correlations in any bipartite Bell scenario and behaviours in a family of contextuality scenarios. The map takes local, quantum and non-signall…
Characterizing and quantifying the incompatibility of quantum instruments
Arindam Mitra, Máté Farkas
Incompatibility of quantum devices is one of the cornerstones of quantum theory, and the incompatibility of quantum measurements and channels has been linked to quantum advantage i…
Upper bounds on key rates in device-independent quantum key distribution based on convex-combination attacks
Karol Łukanowski, Maria Balanzó-Juandó, Máté Farkas +2
The device-independent framework constitutes the most pragmatic approach to quantum protocols that does not put any trust in their implementations. It requires all claims, about e.…
Mutually Unbiased Measurements, Hadamard Matrices, and Superdense Coding
Máté Farkas, Jędrzej Kaniewski, Ashwin Nayak
Mutually unbiased bases (MUBs) are highly symmetric bases on complex Hilbert spaces, and the corresponding rank-1 projective measurements are ubiquitous in quantum information theo…
Three numerical approaches to find mutually unbiased bases using Bell inequalities
Maria Prat Colomer, Luke Mortimer, Irénée Frérot +2
Mutually unbiased bases correspond to highly useful pairs of measurements in quantum information theory. In the smallest composite dimension, six, it is known that between three an…
On the compatibility of quantum instruments
Arindam Mitra, Máté Farkas
Incompatibility of quantum devices is a useful resource in various quantum information theoretical tasks, and it is at the heart of some fundamental features of quantum theory. Whi…
Bell nonlocality is not sufficient for the security of standard device-independent quantum key distribution protocols
Máté Farkas, Maria Balanzó-Juandó, Karol Łukanowski +2
Device-independent quantum key distribution is a secure quantum cryptographic paradigm that allows two honest users to establish a secret key, while putting minimal trust in their…
Characterising and bounding the set of quantum behaviours in contextuality scenarios
Anubhav Chaturvedi, Máté Farkas, Victoria J Wright
The predictions of quantum theory resist generalised noncontextual explanations. In addition to the foundational relevance of this fact, the particular extent to which quantum theo…
Self-testing mutually unbiased bases in higher dimensions with space-division multiplexing optical fiber technology
Máté Farkas, Nayda Guerrero, Jaime Cariñe +2
In the device-independent quantum information approach, the implementation of a given task can be self-tested solely from the recorded statistics and without detailed models for th…
Semi-Device-Independent Random Number Generation with Flexible Assumptions
Matej Pivoluska, Martin Plesch, Máté Farkas +6
Our ability to trust that a random number is truly random is essential for fields as diverse as cryptography and fundamental tests of quantum mechanics. Existing solutions both com…
Quantum error correction codes and absolutely maximally entangled states
Paweł Mazurek, Máté Farkas, Andrzej Grudka +2
For every stabiliser -qudit absolutely maximally entangled state, we present a method for determining the stabiliser generators and logical operators of a corresponding quantum…
Incompatibility robustness of quantum measurements: a unified framework
Sébastien Designolle, Máté Farkas, Jędrzej Kaniewski
In quantum mechanics performing a measurement is an invasive process which generally disturbs the system. Due to this phenomenon, there exist incompatible quantum measurements, i.e…
Self-testing mutually unbiased bases in the prepare-and-measure scenario
Máté Farkas, Jędrzej Kaniewski
Mutually unbiased bases (MUBs) constitute the canonical example of incompatible quantum measurements. One standard application of MUBs is the task known as quantum random access co…
Certifying an irreducible 1024-dimensional photonic state using refined dimension witnesses
Edgar A. Aguilar, Máté Farkas, Daniel Martínez +7
We report on a new class of dimension witnesses, based on quantum random access codes, which are a function of the recorded statistics and that have different bounds for all possib…
-fold unbiased bases: an extension of the MUB condition
Máté Farkas
I introduce a new notion, that extends the mutually unbiased bases (MUB) conditons to more than two bases. These, I call the nUB conditions, and the corresponding bases -fold un…
Qudit homological product codes
Máté Farkas, Péter Vrana
In this note we show that the random homological product code construction of Bravyi and Hastings can be extended to qudits of dimension D with D an odd prime. While the result is…
Homological codes and abelian anyons
Péter Vrana, Máté Farkas
We study a generalization of Kitaev's abelian toric code model defined on CW complexes. In this model qudits are attached to dimensional cells and the interaction is given by g…