121 citations · 962 across the 38 of their papers we have counts for
36 papers · 1 filter
Opinion bubbles in the quantum Buridan's ass problem
Leonid Chaichenets, Jaroslav Novotný, Igor Jex +2
The quantum Buridan's ass problem concerns a network of interconnected nodes in which transitions between the nodes are governed by the laws of quantum mechanics. In such situation…
Two-particle Hadamard walk on dynamically percolated line and circle
M. Paryzkova, M. Stefanak, J. Novotny +2
Asymptotic dynamics of a Hadamard walk of two non-interacting quantum particles on a dynamically percolated finite line or a circle is investigated. We construct a basis of the att…
Testing quantum computers with the protocol of quantum state matching
Adrian Ortega, Orsolya Kálmán, Tamás Kiss
The presence of noise in quantum computers hinders their effective operation. Even though quantum error correction can theoretically remedy this problem, its practical realization…
Complete classification of trapping coins for quantum walks on the 2D square lattice
Bálint Kollár, András Gilyén, Iva Tkáčová +3
One of the unique features of discrete-time quantum walks is called trapping, meaning the inability of the quantum walker to completely escape from its initial position, albeit the…
Experimental orthogonalization of highly overlapping quantum states with single photons
Gaoyan Zhu, Orsolya Kalman, Kunkun Wang +6
We experimentally realize a nonlinear quantum protocol on single-photon qubits with linear optical elements and appropriate measurements. The quantum nonlinearity is induced by pos…
Phase Transition in Iterated Quantum Protocols for Noisy Inputs
Martin Malachov, Igor Jex, Orsolya Kálmán +1
Quantum information processing exploits all the features quantum mechanics offers. Among them there is the possibility to induce nonlinear maps on a quantum system by involving two…
Quantum state identification of qutrits via a nonlinear protocol
P. V. Pyshkin, A. Gábris, O. Kálmán +2
We propose a probabilistic quantum protocol to realize a nonlinear transformation of qutrit states, which by iterative applications on ensembles can be used to distinguish two type…
Sensitivity to initial noise in measurement-induced nonlinear quantum dynamics
Orsolya Kálmán, Tamás Kiss, Igor Jex
We consider a special iterated quantum protocol with measurement-induced nonlinearity for qubits, where all pure initial states on the Bloch sphere can be considered chaotic. The d…
Probing Measurement Induced Effects in Quantum Walks via Recurrence
Thomas Nitsche, Sonja Barkhofen, Regina Kruse +7
Measurements on a quantum particle unavoidably affect its state, since the otherwise unitary evolution of the system is interrupted by a non-unitary projection operation. In order…
Quantum state matching of qubits via measurement-induced nonlinear transformations
Orsolya Kálmán, Tamás Kiss
We consider the task of deciding whether an unknown qubit state falls in a prescribed neighborhood of a reference state. We assume that several copies of the unknown state are give…
Measurement-induced chaos and quantum state discrimination in an iterated Tavis-Cummings scheme
Juan Mauricio Torres, József Zsolt Bernád, Gernot Alber +2
A cavity quantum electrodynamical scenario is proposed for implementing a Schrödinger microscope capable of amplifying differences between non orthogonal atomic quantum states. The…
Double self-Kerr scheme for optical Schrödinger-cat state preparation
P. Adam, Z. Darázs, T. Kiss +1
We propose a scheme to prepare optical Schrödinger-cat states in a traveling wave setting. Two states are similarly prepared via the self-Kerr effect and after mixing them, one mod…
Exponential Sensitivity and its Cost in Quantum Physics
András Gilyén, Tamás Kiss, Igor Jex
State selective protocols, like entanglement purification, lead to an essentially non-linear quantum evolution, unusual in naturally occurring quantum processes. Sensitivity to ini…
Strongly trapped two-dimensional quantum walks
Bálint Kollár, Tamás Kiss, Igor Jex
Discrete time quantum walks (DTQWs) are nontrivial generalizations of random walks with a broad scope of applications. In particular, they can be used as computational primitives,…
Discrete time quantum walks on percolation graphs
Bálint Kollár, Jaroslav Novotný, Tamás Kiss +1
Randomly breaking connections in a graph alters its transport properties, a model used to describe percolation. In the case of quantum walks, dynamic percolation graphs represent a…
Transport properties of continuous-time quantum walks on Sierpinski fractals
Zoltán Darázs, Anastasiia Anishchenko, Tamás Kiss +2
We model quantum transport, described by continuous-time quantum walks (CTQW), on deterministic Sierpinski fractals, differentiating between Sierpinski gaskets and Sierpinski carpe…
Parametric amplification of the mechanical vibrations of a suspended nanowire by magnetic coupling to a Bose-Einstein condensate
Z. Darázs, Z. Kurucz, O. Kálmán +3
We consider the possibility of parametric amplification of a mechanical vibration mode of a nanowire due to its interaction with a Bose-Einstein condensate (BEC) of ultracold atoms…
Time evolution of continuous-time quantum walks on dynamical percolation graphs
Zoltán Darázs, Tamás Kiss
We study the time evolution of continuous-time quantum walks on randomly changing graphs. At certain moments edges of the graph appear or disappear with a given probability. We foc…
Asymptotic dynamics of coined quantum walks on percolation graphs
Bálint Kollár, Tamás Kiss, Jaroslav Novotný +1
Quantum walks obey unitary dynamics: they form closed quantum systems. The system becomes open if the walk suffers from imperfections represented as missing links on the underlying…
Measurement induced chaos with entangled states
T. Kiss, S. Vymětal, L. D. Tóth +3
The dynamics of an ensemble of identically prepared two-qubit systems is investigated which is subjected to the iteratively applied measurements and conditional selection of a typi…
Directional correlations in quantum walks with two particles
M. Stefanak, S. M. Barnett, B. Kollar +2
Quantum walks on the line with a single particle possess a classical analog. Involving more walkers opens up the possibility to study collective quantum effects, such as many parti…
Full-revivals in 2-D Quantum Walks
M. Stefanak, B. Kollar, T. Kiss +1
Recurrence of a random walk is described by the Polya number. For quantum walks, recurrence is understood as the return of the walker to the origin, rather than the full-revival of…
Pólya number of continuous-time quantum walks
Z. Darázs, T. Kiss
We propose a definition for the Pólya number of continuous-time quantum walks to characterize their recurrence properties. The definition involves a series of measurements on the s…
Recurrences in three-state quantum walks on a plane
B. Kollár, M. Štefaňák, T. Kiss +1
We analyze the role of dimensionality in the time evolution of discrete time quantum walks through the example of the three-state walk on a two-dimensional, triangular lattice. We…