A Spectral Analysis of Discrete-Time Quantum Walks Related to the Birth and Death Chains
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-1998-9
Abstract: In this paper, we consider a spectral analysis of discrete time quantum walks on the path. For isospectral coin cases, we show that the time averaged distribution and stationary distributions of the quantum walks are… read more here.
Keywords: quantum walks; discrete time; time; spectral analysis ... See more keywords
Time operators for quantum walks
Sign Up to like & getrecommendations! Published in 2020 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-020-01299-5
Abstract: We study time operators for discrete-time quantum systems. Quantum walks are typical examples. We construct time operators for one-dimensional homogeneous quantum walks and determine their deficiency indices and spectra. Our time operators always have self-adjoint… read more here.
Keywords: quantum walks; time operators; time; operators quantum ... See more keywords
Deterministic realization of collective measurements via photonic quantum walks
Sign Up to like & getrecommendations! Published in 2018 at "Nature Communications"
DOI: 10.1038/s41467-018-03849-x
Abstract: Collective measurements on identically prepared quantum systems can extract more information than local measurements, thereby enhancing information-processing efficiency. Although this nonclassical phenomenon has been known for two decades, it has remained a challenging task to… read more here.
Keywords: quantum walks; photonic quantum; identically prepared; deterministic realization ... See more keywords
Entangled state generation via quantum walks with multiple coins
Sign Up to like & getrecommendations! Published in 2020 at "npj Quantum Information"
DOI: 10.1038/s41534-021-00401-6
Abstract: Generation of entangled state is of paramount importance both from quantum theoretical foundation and technology applications. Entanglement swapping provides an efficient method to generate entanglement in quantum communication protocols. However, perfect Bell measurements for qudits,… read more here.
Keywords: state; walks multiple; quantum walks; entangled state ... See more keywords
Quantum-inspired cascaded discrete-time quantum walks with induced chaotic dynamics and cryptographic applications
Sign Up to like & getrecommendations! Published in 2020 at "Scientific Reports"
DOI: 10.1038/s41598-020-58636-w
Abstract: Designing efficient and secure cryptosystems has been a preoccupation for many scientists and engineers for a long time wherein they use chaotic systems to design new cryptosystems. While one dimensional (1-D) chaotic maps possess powerful… read more here.
Keywords: inspired cascaded; quantum walks; quantum inspired; cryptographic applications ... See more keywords
Quantum Walks in Periodic and Quasiperiodic Fibonacci Fibers
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DOI: 10.1038/s41598-020-64065-6
Abstract: Quantum walk is a key operation in quantum computing, simulation, communication and information. Here, we report for the first time the demonstration of quantum walks and localized quantum walks in a new type of optical… read more here.
Keywords: fibonacci; fibonacci fibers; quantum walks; quasiperiodic fibonacci ... See more keywords
Full state revivals in higher dimensional quantum walks
Sign Up to like & getrecommendations! Published in 2019 at "Physica Scripta"
DOI: 10.1088/1402-4896/aaf8a4
Abstract: Full state revivals in a quantum walk can be viewed as returning of the walker to the initial quantum state in a periodic fashion during the propagation of the walk. In this paper we show… read more here.
Keywords: state; full state; revivals higher; state revivals ... See more keywords
Probe of topological invariants using quantum walks of a trapped ion in coherent state space
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DOI: 10.1088/1674-1056/ab8893
Abstract: Probe of topological invariants using quantum walks of a trapped ion in coherent state space* Ya Meng(蒙雅)1,2, Feng Mei(梅锋)1,2,†, Gang Chen(陈刚)1,2,3,‡, and Suo-Tang Jia(贾锁堂)1,2 1State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute… read more here.
Keywords: invariants using; quantum walks; probe topological; optics ... See more keywords
Kinematics and dynamics of quantum walks in terms of systems of imprimitivity
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aaf7af
Abstract: We build systems of imprimitivity (SI) in the context of quantum walks and provide geometric constructions for their configuration space. We consider three systems, an evolution of unitaries from the group SO3 on a low… read more here.
Keywords: dynamics quantum; quantum walks; systems imprimitivity; kinematics ... See more keywords
Quantum aspects of evolution: a contribution towards evolutionary explorations of genotype networks via quantum walks
Sign Up to like & getrecommendations! Published in 2020 at "Journal of the Royal Society Interface"
DOI: 10.1098/rsif.2020.0567
Abstract: Quantum biology seeks to explain biological phenomena via quantum mechanisms, such as enzyme reaction rates via tunnelling and photosynthesis energy efficiency via coherent superposition of states. However, less effort has been devoted to study the… read more here.
Keywords: quantum; quantum walks; network; quantum aspects ... See more keywords
Attractors and asymptotic dynamics of open discrete-time quantum walks on cycles
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.100.052111
Abstract: Open quantum walks often lead to a classical asymptotic behavior. Here, we look for a simple open quantum walk whose asymptotic behavior can be non-classical. We consider a discrete-time quantum walk on n-cycle subject to… read more here.
Keywords: discrete time; time quantum; asymptotic behavior; quantum walks ... See more keywords