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Operational Algorithms for Separable Qubit X States

School of Electrical and Computer Engineering QLab, Technical University of Crete, 73100 Chania, Crete, Greece
Condens. Matter 2019, 4(3), 64; https://doi.org/10.3390/condmat4030064
Received: 21 March 2019 / Revised: 12 June 2019 / Accepted: 27 June 2019 / Published: 2 July 2019
(This article belongs to the Special Issue Quantum Cellular Automata and Quantum Walks)
This work motivates and applies operational methodology to simulation of quantum statistics of separable qubit X states. Three operational algorithms for evaluating separability probability distributions are put forward. Building on previous findings, the volume function characterizing the separability distribution is determined via quantum measurements of multi-qubit observables. Three measuring states, one for each algorithm are generated via (i) a multi-qubit channel map, (ii) a unitary operator generated by a Hamiltonian describing a non-uniform hypergraph configuration of interactions among 12 qubits, and (iii) a quantum walk CP map in a extended state space. Higher order CZ gates are the only tools of the algorithms hence the work associates itself computationally with the Instantaneous Quantum Polynomial-time Circuits (IQP), while wrt possible implementation the work relates to the Lechner-Hauke-Zoller (LHZ) architecture of higher order coupling. Finally some uncertainty aspects of the quantum measurement observables are discussed together with possible extensions to non-qubit separable bipartite systems. View Full-Text
Keywords: separability; X states 2; quantum walk; quantum algorithm; quantum simulation separability; X states 2; quantum walk; quantum algorithm; quantum simulation
MDPI and ACS Style

Ellinas, D. Operational Algorithms for Separable Qubit X States. Condens. Matter 2019, 4, 64.

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