Open Quantum Random Walks on the Half-Line: The Karlin–McGregor Formula, Path Counting and Foster’s Theorem
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-017-1876-x
Abstract: In this work we consider open quantum random walks on the non-negative integers. By considering orthogonal matrix polynomials we are able to describe transition probability expressions for classes of walks via a matrix version of… read more here.
Keywords: quantum; karlin mcgregor; quantum random; random walks ... See more keywords
Open quantum random walk in terms of quantum Bernoulli noise
Sign Up to like & getrecommendations! Published in 2018 at "Quantum Information Processing"
DOI: 10.1007/s11128-018-1820-2
Abstract: In this paper, we introduce an open quantum random walk, which we call the QBN-based open walk, by means of quantum Bernoulli noise, and study its properties from a random walk point of view. We… read more here.
Keywords: quantum random; open quantum; walk; random walk ... See more keywords
Quantum Markov semigroups for continuous-time open quantum random walk
Sign Up to like & getrecommendations! Published in 2019 at "Quantum Information Processing"
DOI: 10.1007/s11128-019-2294-6
Abstract: Open quantum random walks in Attal et al. (Phys Lett A 376:1545–1548, 2012) are quantum generalizations of classical Markov chains. In this paper, we firstly consider a problem to construct a quantum Markov semigroup (QMS)… read more here.
Keywords: quantum random; open quantum; quantum; quantum markov ... See more keywords
The geometry of Bloch space in the context of quantum random access codes
Sign Up to like & getrecommendations! Published in 2022 at "Quantum Information Processing"
DOI: 10.1007/s11128-022-03470-4
Abstract: We study the communication protocol known as a Quantum Random Access Code (QRAC) which encodes n classical bits into m qubits (m < n) with a probability of recovering any of the initial n bits… read more here.
Keywords: random access; geometry; geometry bloch; quantum ... See more keywords
The effect of coherence between two photons on quantum random walk
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DOI: 10.1016/j.ijleo.2020.164288
Abstract: Abstract Quantum random walk with two controlled coherent photon is discussed. Two polarization entangled photons with completely coherence are generated by spontaneous parametric down-conversion (SPDC), and then a half wave plate (HWP) is used to… read more here.
Keywords: coherence; quantum random; effect coherence; random walk ... See more keywords
Quantum random number generation with uncharacterized laser and sunlight
Sign Up to like & getrecommendations! Published in 2019 at "npj Quantum Information"
DOI: 10.1038/s41534-019-0208-1
Abstract: The entropy or randomness source is an essential ingredient in random number generation. Quantum random number generators generally require well modeled and calibrated light sources, such as a laser, to generate randomness. With uncharacterized light… read more here.
Keywords: uncharacterized laser; quantum random; randomness; generation ... See more keywords
Device-independent quantum random-number generation
Sign Up to like & getrecommendations! Published in 2018 at "Nature"
DOI: 10.1038/s41586-018-0559-3
Abstract: Randomness is important for many information processing applications, including numerical modelling and cryptography1,2. Device-independent quantum random-number generation (DIQRNG)3,4 based on the loophole-free violation of a Bell inequality produces genuine, unpredictable randomness without requiring any assumptions… read more here.
Keywords: quantum; quantum random; bell; number generation ... See more keywords
Quantum random walk and tight-binding model subject to projective measurements at random times
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ac5dc0
Abstract: What happens when a quantum system undergoing unitary evolution in time is subject to repeated projective measurements to the initial state at random times? A question of general interest is: how does the survival probability… read more here.
Keywords: random times; quantum random; survival probability; projective measurements ... See more keywords
Practical security analysis of a continuous-variable quantum random-number generator with a noisy local oscillator
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review A"
DOI: 10.1103/physreva.102.012422
Abstract: A quantum random-number generator (QRNG) can theoretically generate unpredictable random numbers with perfect devices and is an ideal and secure source of random numbers for cryptography. However, the practical implementations always contain imperfections, which will… read more here.
Keywords: continuous variable; local oscillator; security; quantum random ... See more keywords
Improved classical and quantum random access codes
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DOI: 10.1103/physreva.95.052315
Abstract: A (Quantum) Random Access Code ((Q)RAC) is a scheme that encodes $n$ bits into $m$ (qu)bits such that any of the $n$ bits can be recovered with a worst case probability $p>\frac{1}{2}$. Such a code… read more here.
Keywords: random access; quantum random; improved classical; access codes ... See more keywords
Analysis of the effects of imperfections in an optical heterodyne quantum random-number generator
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.99.052305
Abstract: Quantum random numbers generators (QRNGs) rely on quantum systems to produce sequences of random numbers with an overall lower level of predictability than classical algorithmic systems. Over the past two decades, phase randomizations of coherent… read more here.
Keywords: number; analysis; heterodyne; random numbers ... See more keywords